George Karniadakis
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American mathematician
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George Karniadakisengineering Degrees
Engineering
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Mechanical Engineering
#24
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#33
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#18
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George Karniadakismathematics Degrees
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#715
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#25
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#13
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Measure Theory
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#138
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Engineering Mathematics
George Karniadakis's Degrees
- Bachelors Naval Architecture National Technical University of Athens
Why Is George Karniadakis Influential?
(Suggest an Edit or Addition)According to Wikipedia, George Em Karniadakis is a professor of applied mathematics at Brown University. He is a Greek-American researcher who is known for his wide-spectrum work on high-dimensional stochastic modeling and multiscale simulations of physical and biological systems, and is a pioneer of spectral/hp-element methods for fluids in complex geometries, general polynomial chaos for uncertainty quantification, and the Sturm-Liouville theory for partial differential equations and fractional calculus.
George Karniadakis's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations (2002) (4292)
- Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations (2019) (4036)
- Modeling uncertainty in flow simulations via generalized polynomial chaos (2003) (1395)
- Microflows and Nanoflows: Fundamentals and Simulation (2001) (1361)
- High-order splitting methods for the incompressible Navier-Stokes equations (1991) (1338)
- Spectral/hp Element Methods for Computational Fluid Dynamics (2005) (1297)
- Spectral/hp Element Methods for CFD (1999) (1155)
- REPORT: A MODEL FOR FLOWS IN CHANNELS, PIPES, AND DUCTS AT MICRO AND NANO SCALES (1999) (1056)
- The Development of Discontinuous Galerkin Methods (2000) (926)
- Hidden physics models: Machine learning of nonlinear partial differential equations (2017) (806)
- Hidden fluid mechanics: Learning velocity and pressure fields from flow visualizations (2020) (709)
- Micro Flows: Fundamentals and Simulation (2002) (613)
- DeepXDE: A Deep Learning Library for Solving Differential Equations (2019) (601)
- An adaptive multi-element generalized polynomial chaos method for stochastic differential equations (2005) (597)
- Discontinuous Galerkin Methods: Theory, Computation and Applications (2011) (593)
- Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations (2017) (586)
- Modeling Uncertainty in Steady State Diffusion Problems via Generalized Polynomial Chaos (2002) (570)
- Physics-informed machine learning (2021) (564)
- Low‐dimensional models for complex geometry flows: Application to grooved channels and circular cylinders (1991) (540)
- Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators (2019) (504)
- A multiscale red blood cell model with accurate mechanics, rheology, and dynamics. (2010) (494)
- Multi-Element Generalized Polynomial Chaos for Arbitrary Probability Measures (2006) (487)
- Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations (2017) (481)
- Rarefaction and Compressibility Effects in Gas Microflows (1996) (388)
- Dynamics and low-dimensionality of a turbulent near wake (2000) (384)
- Machine learning of linear differential equations using Gaussian processes (2017) (376)
- Physics-informed neural networks for high-speed flows (2020) (355)
- Accurate coarse-grained modeling of red blood cells. (2008) (344)
- fPINNs: Fractional Physics-Informed Neural Networks (2018) (320)
- B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data (2020) (320)
- Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos (2002) (317)
- MICROFLOWS AND NANOFLOWS (2005) (303)
- A low-dimensional model for simulating three-dimensional cylinder flow (2002) (300)
- Adaptive activation functions accelerate convergence in deep and physics-informed neural networks (2019) (297)
- NSFnets (Navier-Stokes flow nets): Physics-informed neural networks for the incompressible Navier-Stokes equations (2020) (296)
- Predicting human blood viscosity in silico (2011) (290)
- A combined direct numerical simulation–particle image velocimetry study of the turbulent near wake (2006) (276)
- DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators (2019) (272)
- Fractional Sturm-Liouville eigen-problems: Theory and numerical approximation (2013) (269)
- Conservative physics-informed neural networks on discrete domains for conservation laws: Applications to forward and inverse problems (2020) (267)
- Frequency selection and asymptotic states in laminar wakes (1989) (256)
- A Spectral Vanishing Viscosity Method for Large-Eddy Simulations (2000) (255)
- A composite neural network that learns from multi-fidelity data: Application to function approximation and inverse PDE problems (2019) (252)
- A direct numerical simulation study of flow past a freely vibrating cable (1997) (250)
- Quantifying total uncertainty in physics-informed neural networks for solving forward and inverse stochastic problems (2018) (247)
- Integrating machine learning and multiscale modeling—perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences (2019) (246)
- Simulation of Heat and Momentum Transfer in Complex Microgeometries (1994) (239)
- Blood Flow and Cell‐Free Layer in Microvessels (2010) (234)
- Three-dimensional dynamics and transition to turbulence in the wake of bluff objects (1992) (233)
- A new stochastic approach to transient heat conduction modeling with uncertainty (2003) (233)
- Dying ReLU and Initialization: Theory and Numerical Examples (2019) (229)
- The multi-element probabilistic collocation method (ME-PCM): Error analysis and applications (2008) (228)
- Systematic coarse-graining of spectrin-level red blood cell models. (2010) (227)
- Deep learning of vortex-induced vibrations (2018) (227)
- MECHANISMS ON TRANSVERSE MOTIONS IN TURBULENT WALL FLOWS (2003) (226)
- Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling (2017) (222)
- Fractional Spectral Collocation Method (2014) (221)
- Physics-informed neural networks (PINNs) for fluid mechanics: a review (2021) (218)
- Multistep Neural Networks for Data-driven Discovery of Nonlinear Dynamical Systems (2018) (218)
- Inferring solutions of differential equations using noisy multi-fidelity data (2016) (215)
- Multi-element probabilistic collocation method in high dimensions (2010) (213)
- Drag reduction in wall-bounded turbulence via a transverse travelling wave (2002) (209)
- Extended Physics-informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition based Deep Learning Framework for Nonlinear Partial Differential Equations (2020) (208)
- A spectral viscosity method for correcting the long-term behavior of POD models (2004) (207)
- Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations (2017) (205)
- Onset of three-dimensionality, equilibria, and early transition in flow over a backward-facing step (1991) (205)
- What is the fractional Laplacian? A comparative review with new results (2020) (203)
- A semi-Lagrangian high-order method for Navier-Stokes equations (2001) (197)
- hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition (2020) (196)
- Physics-informed neural networks for inverse problems in nano-optics and metamaterials. (2019) (196)
- PPINN: Parareal Physics-Informed Neural Network for time-dependent PDEs (2019) (193)
- A triangular spectral element method; applications to the incompressible Navier-Stokes equations (1995) (190)
- Physics-Informed Generative Adversarial Networks for Stochastic Differential Equations (2018) (187)
- A new method to impose no-slip boundary conditions in dissipative particle dynamics (2005) (187)
- DNS of flow past a stationary and oscillating cylinder at Re=10000 (2005) (183)
- Dynamics and flow structures in the turbulent wake of rigid and flexible cylinders subject to vortex-induced vibrations (1999) (179)
- Quantifying the biophysical characteristics of Plasmodium-falciparum-parasitized red blood cells in microcirculation (2010) (176)
- What Is the Fractional Laplacian (2018) (175)
- A direct numerical simulation of laminar and turbulent flow over riblet-mounted surfaces (1993) (175)
- Unstructured spectral element methods for simulation of turbulent flows (1995) (172)
- Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations (2006) (172)
- Lipid bilayer and cytoskeletal interactions in a red blood cell (2013) (167)
- A NEW TRIANGULAR AND TETRAHEDRAL BASIS FOR HIGH-ORDER (HP) FINITE ELEMENT METHODS (1995) (167)
- Biomechanics of red blood cells in human spleen and consequences for physiology and disease (2016) (166)
- De-aliasing on non-uniform grids: algorithms and applications (2003) (165)
- Second-order approximations for variable order fractional derivatives: Algorithms and applications (2015) (165)
- Fractional spectral collocation methods for linear and nonlinear variable order FPDEs (2015) (160)
- Time-dependent generalized polynomial chaos (2010) (159)
- Exponentially accurate spectral and spectral element methods for fractional ODEs (2014) (159)
- Beyond Wiener–Askey Expansions: Handling Arbitrary PDFs (2006) (159)
- Physics-Informed Neural Networks for Heat Transfer Problems (2021) (157)
- Numerical simulation of turbulent drag reduction using micro-bubbles (2002) (157)
- Unsteadiness and convective instabilities in two-dimensional flow over a backward-facing step (1996) (152)
- Outflow Boundary Conditions for Arterial Networks with Multiple Outlets (2008) (152)
- A deep convolutional neural network for classification of red blood cells in sickle cell anemia (2017) (151)
- Multiscale Modeling Meets Machine Learning: What Can We Learn? (2019) (149)
- Gappy data and reconstruction procedures for flow past a cylinder (2004) (147)
- Blood flow velocity effects and role of activation delay time on growth and form of platelet thrombi (2006) (141)
- A Discontinuous Galerkin Method for the Viscous MHD Equations (1999) (140)
- Multi-fidelity modelling via recursive co-kriging and Gaussian–Markov random fields (2015) (140)
- On the effect of spacing on the vortex-induced vibrations of two tandem cylinders (2008) (138)
- Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks (2019) (138)
- Parallel Scientific Computing in C++ and MPI - A Seamless Approach to Parallel Algorithms and their Implementation (2003) (137)
- Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2012) (135)
- Variability of computational fluid dynamics solutions for pressure and flow in a giant aneurysm: the ASME 2012 Summer Bioengineering Conference CFD Challenge. (2013) (134)
- A robust and accurate outflow boundary condition for incompressible flow simulations on severely-truncated unbounded domains (2014) (134)
- Vortex-induced vibrations of a long flexible cylinder in shear flow (2011) (132)
- Modeling Blood Flow Circulation in Intracranial Arterial Networks: A Comparative 3D/1D Simulation Study (2010) (131)
- Resonant vibrations of bluff bodies cause multivortex shedding and high frequency forces. (2007) (131)
- On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs (2020) (131)
- Hidden Fluid Mechanics: A Navier-Stokes Informed Deep Learning Framework for Assimilating Flow Visualization Data (2018) (129)
- Extraction of mechanical properties of materials through deep learning from instrumented indentation (2020) (128)
- Gappy data: To Krig or not to Krig? (2006) (124)
- Learning in Modal Space: Solving Time-Dependent Stochastic PDEs Using Physics-Informed Neural Networks (2019) (122)
- Dissipative particle dynamics simulations of polymer chains: scaling laws and shearing response compared to DNA experiments. (2005) (121)
- Continuum- and particle-based modeling of shapes and dynamics of red blood cells in health and disease. (2013) (121)
- Generalized polynomial chaos and random oscillators (2004) (119)
- Suppressing vortex-induced vibrations via passive means (2009) (118)
- Many-body dissipative particle dynamics simulation of liquid/vapor and liquid/solid interactions. (2011) (117)
- Elimination of vortex streets in bluff-body flows. (2008) (117)
- Three-dimensionality effects in flow around two tandem cylinders (2006) (117)
- Minimum-dissipation transport enhancement by flow destabilization: Reynolds’ analogy revisited (1988) (116)
- Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation (2002) (116)
- Systems biology informed deep learning for inferring parameters and hidden dynamics (2019) (114)
- Multiscale Modeling of Red Blood Cell Mechanics and Blood Flow in Malaria (2011) (113)
- Equation-free/Galerkin-free POD-assisted computation of incompressible flows (2005) (112)
- Reynolds stress analysis of EMHD-controlled wall turbulence. Part I. Streamwise forcing (1997) (112)
- 111 years of Brownian motion. (2016) (111)
- Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism. (2015) (111)
- Numerical simulation of forced convection heat transfer from a cylinder in crossflow (1988) (110)
- A unified Petrov-Galerkin spectral method for fractional PDEs (2015) (110)
- Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions☆ (2017) (109)
- Variational Physics-Informed Neural Networks For Solving Partial Differential Equations (2019) (109)
- A comprehensive and fair comparison of two neural operators (with practical extensions) based on FAIR data (2021) (108)
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations (2015) (107)
- Rheology, microstructure and migration in brownian colloidal suspensions. (2009) (106)
- Regular Article: A Discontinuous Galerkin ALE Method for Compressible Viscous Flows in Moving Domains (1999) (106)
- Triple-decker: Interfacing atomistic-mesoscopic-continuum flow regimes (2009) (106)
- DNS-DERIVED FORCE DISTRIBUTION ON FLEXIBLE CYLINDERS SUBJECT TO VORTEX-INDUCED VIBRATION (2000) (105)
- DeepM&Mnet: Inferring the electroconvection multiphysics fields based on operator approximation by neural networks (2020) (105)
- Efficient sensor placement for ocean measurements using low-dimensional concepts (2009) (105)
- Physics-Informed Neural Network for Ultrasound Nondestructive Quantification of Surface Breaking Cracks (2020) (102)
- Fractional-Order Viscoelasticity in One-Dimensional Blood Flow Models (2013) (101)
- Shape Transformations of Membrane Vesicles from Amphiphilic Triblock Copolymers: A Dissipative Particle Dynamics Simulation Study (2009) (100)
- Error estimates for DeepOnets: A deep learning framework in infinite dimensions (2021) (100)
- Combined Simulation and Experimental Study of Large Deformation of Red Blood Cells in Microfluidic Systems (2010) (100)
- Velocity limit in DPD simulations of wall-bounded flows (2008) (99)
- Discontinuous Spectral Element Methods for Time- and Space-Fractional Advection Equations (2014) (99)
- Controlling density fluctuations in wall-bounded dissipative particle dynamics systems. (2006) (98)
- Dynamics of self-assembled chaining in magnetorheological fluids. (2004) (97)
- Direct and large-eddy simulations of axisymmetric wakes (1993) (96)
- A General Shear-Dependent Model for Thrombus Formation (2017) (94)
- Two- and Three-Dimensional Simulations of Vortex-Induced Vibration of a Circular Cylinder (1993) (93)
- Direct construction of mesoscopic models from microscopic simulations. (2010) (93)
- Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition (2014) (93)
- Reinforcement learning for bluff body active flow control in experiments and simulations (2020) (92)
- Flow instability and wall shear stress variation in intracranial aneurysms (2010) (92)
- Spectral/hp Methods for Viscous Compressible Flows on Unstructured 2D Meshes (1998) (92)
- Wall shear stress-based model for adhesive dynamics of red blood cells in malaria. (2011) (91)
- A discontinuous Galerkin method for the Navier-Stokes equations (1999) (91)
- Reweighted ℓ1ℓ1 minimization method for stochastic elliptic differential equations (2013) (90)
- Blood–plasma separation in Y-shaped bifurcating microfluidic channels: a dissipative particle dynamics simulation study (2012) (89)
- SympNets: Intrinsic structure-preserving symplectic networks for identifying Hamiltonian systems (2020) (87)
- Parallel Physics-Informed Neural Networks via Domain Decomposition (2021) (87)
- Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model (2014) (86)
- Numerical Methods for Stochastic Partial Differential Equations with White Noise (2018) (86)
- Construction of dissipative particle dynamics models for complex fluids via the Mori-Zwanzig formulation. (2014) (85)
- Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems (2021) (84)
- Nodes, modes and flow codes (1993) (84)
- LARGE‐SCALE SIMULATION OF THE HUMAN ARTERIAL TREE (2009) (82)
- SIMULATIONS OF FLOW OVER A FLEXIBLE CABLE: A COMPARISON OF FORCED AND FLOW-INDUCED VIBRATION (1996) (82)
- A fractional phase-field model for two-phase flows with tunable sharpness: Algorithms and simulations (2016) (81)
- Multi-fidelity Gaussian process regression for prediction of random fields (2017) (80)
- Smoothed profile method for particulate flows: Error analysis and simulations (2009) (80)
- Flow over an espresso cup: inferring 3-D velocity and pressure fields from tomographic background oriented Schlieren via physics-informed neural networks (2021) (80)
- Blood flow in small tubes: quantifying the transition to the non-continuum regime (2013) (79)
- Computational Biorheology of Human Blood Flow in Health and Disease (2013) (79)
- Computing the non-Markovian coarse-grained interactions derived from the Mori-Zwanzig formalism in molecular systems: Application to polymer melts. (2017) (79)
- Tempered Fractional Sturm-Liouville EigenProblems (2015) (78)
- A convergence study of a new partitioned fluid-structure interaction algorithm based on fictitious mass and damping (2012) (78)
- Coarse-graining limits in open and wall-bounded dissipative particle dynamics systems. (2006) (77)
- Stability and accuracy of periodic flow solutions obtained by a POD-penalty method (2005) (77)
- Spectral element—Fourier methods for incompressible turbulent flows (1990) (77)
- nPINNs: nonlocal Physics-Informed Neural Networks for a parametrized nonlocal universal Laplacian operator. Algorithms and Applications (2020) (77)
- Effects of Oblique Inflow in Vortex-Induced Vibrations (2003) (76)
- Petrov-Galerkin and Spectral Collocation Methods for Distributed Order Differential Equations (2016) (76)
- Spectral element simulations of laminar and turbulent flows in complex geometries (1989) (75)
- Biomechanics and biorheology of red blood cells in sickle cell anemia. (2017) (75)
- Model inversion via multi-fidelity Bayesian optimization: a new paradigm for parameter estimation in haemodynamics, and beyond (2016) (74)
- A comparative study between dissipative particle dynamics and molecular dynamics for simple- and complex-geometry flows. (2005) (74)
- A low-dimensional model for the red blood cell. (2010) (73)
- TetrahedralhpFinite Elements (1996) (73)
- Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms (2016) (73)
- Mechanics of diseased red blood cells in human spleen and consequences for hereditary blood disorders (2018) (73)
- A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative (2018) (71)
- Omics, big data and machine learning as tools to propel understanding of biological mechanisms and to discover novel diagnostics and therapeutics. (2018) (71)
- Analyzing Transient Turbulence in a Stenosed Carotid Artery by Proper Orthogonal Decomposition (2009) (71)
- International Assessment of Research and Development in Simulation-Based Engineering and Science. Panel Report (2011) (70)
- Self-Cleaning of Hydrophobic Rough Surfaces by Coalescence-Induced Wetting Transition. (2018) (69)
- Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets (2016) (69)
- Quantifying the rheological and hemodynamic characteristics of sickle cell anemia. (2012) (69)
- Predicting dynamics and rheology of blood flow: A comparative study of multiscale and low-dimensional models of red blood cells. (2011) (68)
- DeepM&Mnet for hypersonics: Predicting the coupled flow and finite-rate chemistry behind a normal shock using neural-network approximation of operators (2020) (68)
- Lock-in of the vortex-induced vibrations of a long tensioned beam in shear flow (2011) (67)
- Adaptive finite element method for fractional differential equations using hierarchical matrices (2016) (67)
- Stochastic low-dimensional modelling of a random laminar wake past a circular cylinder (2008) (67)
- Steady shear rheometry of dissipative particle dynamics models of polymer fluids in reverse Poiseuille flow. (2010) (67)
- Energy-conserving dissipative particle dynamics with temperature-dependent properties (2014) (67)
- Non-invasive Inference of Thrombus Material Properties with Physics-Informed Neural Networks. (2020) (66)
- Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators (2005) (66)
- Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions (1997) (65)
- DPIV-driven flow simulation: a new computational paradigm (2003) (65)
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions (2016) (65)
- Probing vasoocclusion phenomena in sickle cell anemia via mesoscopic simulations (2013) (64)
- Vortex dislocations and force distribution of long flexible cylinders subjected to sheared flows (2001) (64)
- Vortex mode selection of a rigid cylinder subject to VIV at low mass-damping (2005) (64)
- Supersensitivity due to uncertain boundary conditions (2004) (63)
- Operator learning for predicting multiscale bubble growth dynamics. (2020) (62)
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations (2014) (61)
- A computable evolution equation for the joint response-excitation probability density function of stochastic dynamical systems (2012) (61)
- On the Convergence and generalization of Physics Informed Neural Networks (2020) (60)
- Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations (2016) (60)
- A Generalized Spectral Collocation Method with Tunable Accuracy for Fractional Differential Equations with End-Point Singularities (2017) (60)
- Neural-net-induced Gaussian process regression for function approximation and PDE solution (2018) (59)
- Schmidt number effects in dissipative particle dynamics simulation of polymers. (2006) (59)
- Predicting shock dynamics in the presence of uncertainties (2006) (58)
- Exact PDF equations and closure approximations for advective-reactive transport (2013) (58)
- Stochastic bifurcation analysis of Rayleigh–Bénard convection (2010) (58)
- MD/DPD Multiscale Framework for Predicting Morphology and Stresses of Red Blood Cells in Health and Disease (2016) (57)
- Simulation and modelling of slip flow over surfaces grafted with polymer brushes and glycocalyx fibres (2012) (57)
- Multiscale Universal Interface: A concurrent framework for coupling heterogeneous solvers (2014) (57)
- Predictability and uncertainty in CFD (2003) (56)
- Single-particle hydrodynamics in DPD: A new formulation (2008) (56)
- A dissipative particle dynamics method for arbitrarily complex geometries (2016) (54)
- Physics-informed neural networks for solving forward and inverse flow problems via the Boltzmann-BGK formulation (2020) (54)
- Basis Functions for Triangular and Quadrilateral High-Order Elements (1999) (54)
- Time-dependent and outflow boundary conditions for Dissipative Particle Dynamics (2011) (54)
- Selecting the Numerical Flux in Discontinuous Galerkin Methods for Diffusion Problems (2005) (54)
- NEKTAR, SPICE and Vortonics: using federated grids for large scale scientific applications (2006) (53)
- Distributed lock-in drives broadband vortex-induced vibrations of a long flexible cylinder in shear flow (2013) (52)
- Sub-cellular modeling of platelet transport in blood flow through microchannels with constriction. (2016) (52)
- Combined effects of pulsatile flow and dynamic curvature on wall shear stress in a coronary artery bifurcation model. (2005) (52)
- Analyses of internal structures and defects in materials using physics-informed neural networks (2022) (51)
- Numerical methods for high-dimensional probability density function equations (2016) (51)
- Multi-fidelity Bayesian Neural Networks: Algorithms and Applications (2020) (51)
- Inflow/Outflow Boundary Conditions for Particle-Based Blood Flow Simulations: Application to Arterial Bifurcations and Trees (2015) (51)
- An Effective Fractal-Tree Closure Model for Simulating Blood Flow in Large Arterial Networks (2014) (51)
- Generalized fictitious methods for fluid-structure interactions: Analysis and simulations (2013) (51)
- Modeling of biomechanics and biorheology of red blood cells in type-2 diabetes mellitus (2017) (51)
- Fractional-order uniaxial visco-elasto-plastic models for structural analysis (2016) (50)
- Wake-body resonance of long flexible structures is dominated by counterclockwise orbits. (2011) (50)
- Galerkin and discontinuous Galerkin spectral/hp methods (1999) (50)
- Patient-specific blood rheology in sickle-cell anaemia (2016) (50)
- Computational Biomechanics of Human Red Blood Cells in Hematological Disorders. (2017) (49)
- Simulation of the human intracranial arterial tree (2009) (49)
- Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization (2017) (49)
- Transport dissipative particle dynamics model for mesoscopic advection-diffusion-reaction problems. (2015) (49)
- Effect of red blood cells on platelet aggregation (2009) (49)
- Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems (2014) (48)
- Dissipative particle dynamics simulation of depletion layer and polymer migration in micro- and nanochannels for dilute polymer solutions. (2008) (48)
- Karhunen-Loève expansion for multi-correlated stochastic processes (2013) (48)
- Solving elliptic problems with non-Gaussian spatially-dependent random coefficients (2009) (48)
- Potassium buffering in the neurovascular unit: models and sensitivity analysis. (2013) (47)
- A Petrov–Galerkin spectral element method for fractional elliptic problems (2016) (47)
- Wall Shear Stress and Pressure Distribution on Aneurysms and Infundibulae in the Posterior Communicating Artery Bifurcation (2009) (47)
- Deep Kronecker neural networks: A general framework for neural networks with adaptive activation functions (2021) (46)
- Accelerating dissipative particle dynamics simulations on GPUs: Algorithms, numerics and applications (2013) (46)
- Simulations of dynamic self-assembly of paramagnetic microspheres in confined microgeometries (2005) (46)
- A physics-informed variational DeepONet for predicting the crack path in brittle materials (2021) (46)
- Recent advances in parallel spectral element simulation of unsteady incompressible flows (1988) (46)
- Optimal Error Estimates of Spectral Petrov-Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations (2015) (46)
- Multi-frequency vortex-induced vibrations of a long tensioned beam in linear and exponential shear flows (2013) (46)
- Dynamic Self-Assembly of Spinning Particles (2007) (46)
- Multiscale modeling and simulation of brain blood flow. (2016) (46)
- A CONSERVATIVE ISOPARAMETRIC SPECTRAL ELEMENT METHOD FOR FORCED CONVECTION; APPLICATION TO FULLY DEVELOPED FLOW IN PERIODIC GEOMETRIES (1986) (46)
- A robotic Intelligent Towing Tank for learning complex fluid-structure dynamics (2019) (45)
- Error estimates of residual minimization using neural networks for linear PDEs (2020) (45)
- Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation (2005) (44)
- Parallel spectral-element—Fourier simulation of turbulent flow over riblet-mounted surfaces (1992) (44)
- Suppression of vortex-induced vibrations by fairings: A numerical study (2015) (44)
- A comparative study of coarse-graining methods for polymeric fluids: Mori-Zwanzig vs. iterative Boltzmann inversion vs. stochastic parametric optimization. (2016) (43)
- Simultaneous polymerization and adhesion under hypoxia in sickle cell disease (2018) (43)
- Solving Inverse Stochastic Problems from Discrete Particle Observations Using the Fokker-Planck Equation and Physics-informed Neural Networks (2020) (43)
- Efficient removal of boundary-divergence errors in time-splitting methods (1989) (42)
- Dual-level parallelism for high-order CFD methods (2004) (42)
- Uncertainty Quantification in Scientific Machine Learning: Methods, Metrics, and Comparisons (2022) (41)
- Spectral distributed Lagrange multiplier method: algorithm and benchmark tests (2004) (41)
- Effect of chain chirality on the self-assembly of sickle hemoglobin. (2012) (41)
- Machine Learning of Space-Fractional Differential Equations (2018) (41)
- A new computational paradigm in multiscale simulations: Application to brain blood flow (2011) (41)
- Stochastic Computational Fluid Mechanics (2007) (41)
- OpenRBC: A Fast Simulator of Red Blood Cells at Protein Resolution (2017) (41)
- Force-coupling method for flows with ellipsoidal particles (2009) (40)
- Quantifying the generalization error in deep learning in terms of data distribution and neural network smoothness (2019) (40)
- A spectral element-FCT method for the compressible Euler equations (1994) (40)
- Deep Multi-fidelity Gaussian Processes (2016) (40)
- GPU-accelerated red blood cells simulations with transport dissipative particle dynamics (2016) (40)
- Uncertainty quantification in simulations of power systems: Multi-element polynomial chaos methods (2010) (40)
- Modeling Soft Tissue Damage and Failure Using a Combined Particle/Continuum Approach (2017) (40)
- Dispersion in a curved tube during oscillatory flow (1991) (40)
- The stochastic piston problem. (2004) (39)
- Noisy inflows cause a shedding-mode switching in flow past an oscillating cylinder. (2004) (39)
- Physics-informed Neural Networks (PINNs) for Wave Propagation and Full Waveform Inversions (2021) (38)
- Computing Fractional Laplacians on Complex-Geometry Domains: Algorithms and Simulations (2017) (38)
- Cross-site computations on the TeraGrid (2005) (37)
- On the validity of the independence principle applied to the vortex-induced vibrations of a flexible cylinder inclined at 60° (2015) (37)
- Turbulent drag reduction by constant near-wall forcing (2007) (36)
- Quantifying Platelet Margination in Diabetic Blood Flow (2018) (36)
- Two-point stress–strain-rate correlation structure and non-local eddy viscosity in turbulent flows (2020) (36)
- Coarse Resolution Turbulence Simulations With Spectral Vanishing Viscosity—Large-Eddy Simulations (SVV-LES) (2002) (36)
- A stochastic modeling methodology based on weighted Wiener chaos and Malliavin calculus (2009) (36)
- Mapping the properties of the vortex-induced vibrations of flexible cylinders in uniform oncoming flow (2019) (36)
- Artificial intelligence velocimetry and microaneurysm-on-a-chip for three-dimensional analysis of blood flow in physiology and disease (2021) (36)
- Computational reducibility of unsteady viscous flows (1990) (36)
- Physics-Informed Neural Networks for Nonhomogeneous Material Identification in Elasticity Imaging (2020) (35)
- Immersive virtual reality for visualizing flow through an artery (2000) (35)
- A Spectral Element Method for Solution of the Two-and Three-Dimensional Time-Dependent Incompressible Navier-Stokes Equations (1986) (35)
- Cytoskeleton Remodeling Induces Membrane Stiffness and Stability Changes of Maturing Reticulocytes. (2018) (35)
- Numerical studies of the stochastic Korteweg-de Vries equation (2006) (34)
- A three-dimensional phase-field model for multiscale modeling of thrombus biomechanics in blood vessels (2020) (34)
- Meta-learning PINN loss functions (2021) (34)
- Multi-fidelity optimization of super-cavitating hydrofoils (2018) (34)
- A Reconstruction Method for Gappy and Noisy Arterial Flow Data (2007) (34)
- Stochastic simulation of riser-sections with uncertain measured pressure loads and/or uncertain material properties (2007) (34)
- Predicting the morphology of sickle red blood cells using coarse-grained models of intracellular aligned hemoglobin polymers. (2012) (34)
- A Penalty Method for the Vorticity-Velocity Formulation (1999) (34)
- Spectral Element Methods for Elliptic Problems in Nonsmooth Domains (1995) (33)
- Hydrodynamic interactions for single dissipative-particle-dynamics particles and their clusters and filaments. (2008) (33)
- Error Control in Multi-Element Generalized Polynomial Chaos Methodfor EllipticProblemswith Random Coefficients (2009) (33)
- Error Estimates for the ANOVA Method with Polynomial Chaos Interpolation: Tensor Product Functions (2012) (33)
- A partitioned coupling framework for peridynamics and classical theory: Analysis and simulations (2018) (33)
- Chaotic transport in two‐ and three‐dimensional flow past a cylinder (1991) (33)
- Stochastic modeling of random roughness in shock scattering problems: Theory and simulations (2008) (33)
- Uncertainty quantification in simulation science (2006) (33)
- Data-driven physics-informed constitutive metamodeling of complex fluids: A multifidelity neural network (MFNN) framework (2021) (32)
- Physics-informed semantic inpainting: Application to geostatistical modeling (2019) (32)
- Generalized Stokes eigenfunctions: a new trial basis for the solution of incompressible Navier-Stokes equations (1994) (32)
- Phasing mechanisms between the in-line and cross-flow vortex-induced vibrations of a long tensioned beam in shear flow (2013) (32)
- A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equations (2019) (32)
- Time-Splitting Schemes for Fractional Differential Equations I: Smooth Solutions (2015) (31)
- Interfacing Finite Elements with Deep Neural Operators for Fast Multiscale Modeling of Mechanics Problems (2022) (31)
- Performance Evaluation of Generalized Polynomial Chaos (2003) (31)
- Learning and meta-learning of stochastic advection–diffusion–reaction systems from sparse measurements (2019) (31)
- Numerical Methods for Stochastic Delay Differential Equations Via the Wong-Zakai Approximation (2015) (31)
- A Riesz Basis Galerkin Method for the Tempered Fractional Laplacian (2017) (30)
- A Unified Theory of Fractional Nonlocal and Weighted Nonlocal Vector Calculus. (2020) (30)
- Multi-fidelity modelling of mixed convection based on experimental correlations and numerical simulations (2016) (30)
- The in-silico lab-on-a-chip: petascale and high-throughput simulations of microfluidics at cell resolution (2015) (30)
- Multi-resolution flow simulations by smoothed particle hydrodynamics via domain decomposition (2015) (30)
- A tunable finite difference method for fractional differential equations with non-smooth solutions (2017) (30)
- Modeling of blood flow in arterial trees (2010) (30)
- A new mechanism of period doubling in free shear flows (1992) (30)
- A Petrov-Galerkin Spectral Method of Linear Complexity for Fractional Multiterm ODEs on the Half Line (2017) (30)
- On the equivalence of dynamically orthogonal and bi-orthogonal methods: Theory and numerical simulations (2014) (30)
- Potential Flow Generator With L2 Optimal Transport Regularity for Generative Models (2019) (29)
- Stochastic testing simulator for integrated circuits and MEMS: Hierarchical and sparse techniques (2014) (29)
- Particle flurries: synoptic 3D pulsatile flow visualization. (2004) (29)
- Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations (2018) (29)
- EOF‐based constrained sensor placement and field reconstruction from noisy ocean measurements: Application to Nantucket Sound (2010) (29)
- Simulation and Visualization of Air Flow Around Bat Wings During Flight (2005) (29)
- Mesoscale modeling of phase transition dynamics of thermoresponsive polymers (2015) (29)
- A phase-field method for 3D simulation of two-phase heat transfer (2015) (28)
- When Do Extended Physics-Informed Neural Networks (XPINNs) Improve Generalization? (2021) (28)
- Identifiability and predictability of integer- and fractional-order epidemiological models using physics-informed neural networks (2021) (28)
- Particle flurries (2004) (28)
- Physics-informed neural networks for inverse problems in supersonic flows (2022) (28)
- Nature of intrinsic uncertainties in equilibrium molecular dynamics estimation of shear viscosity for simple and complex fluids. (2018) (28)
- Simulating and visualizing the human arterial system on the TeraGrid (2006) (28)
- Optimization of a z-source DC circuit breaker (2013) (28)
- Active learning of constitutive relation from mesoscopic dynamics for macroscopic modeling of non-Newtonian flows (2017) (28)
- Non-oscillatory Spectral Element Chebyshev Method for Shock Wave Calculations (1993) (27)
- Parallel benchmarks of turbulence in complex geometries (1996) (27)
- A seamless multiscale operator neural network for inferring bubble dynamics (2021) (27)
- Fractional Gray–Scott model: Well-posedness, discretization, and simulations (2018) (27)
- Toward a Numerical Error Bar in CFD (1995) (27)
- Modeling electrokinetic flows by the smoothed profile method (2010) (27)
- Parallel Scientific Computing in C++ and MPI: C++ Basics (2003) (27)
- A bidirectional model for communication in the neurovascular unit. (2012) (27)
- A Physics-Informed Neural Network for Quantifying the Microstructural Properties of Polycrystalline Nickel Using Ultrasound Data: A promising approach for solving inverse problems (2021) (27)
- Anchor Points Matter in ANOVA Decomposition (2011) (27)
- Discovering a universal variable-order fractional model for turbulent Couette flow using a physics-informed neural network (2019) (26)
- DeepONet prediction of linear instability waves in high-speed boundary layers (2021) (26)
- Learning functionals via LSTM neural networks for predicting vessel dynamics in extreme sea states (2019) (26)
- Non-Equilibrium Dynamics of Vesicles and Micelles by Self-Assembly of Block Copolymers with Double Thermoresponsivity (2016) (26)
- Stochastic heat transfer enhancement in a grooved channel (2006) (26)
- Mori-Zwanzig Approach to Uncertainty Quantification (2015) (26)
- U-shaped fairings suppress vortex-induced vibrations for cylinders in cross-flow (2015) (26)
- Large-scale dissipative particle dynamics simulations of self-assembled amphiphilic systems. (2014) (25)
- Alternative LES and Hybrid RANS/LES for Turbulent Flows (2002) (25)
- Quantification of sampling uncertainty for molecular dynamics simulation: Time-dependent diffusion coefficient in simple fluids (2015) (25)
- Modeling and optimization of colloidal micro-pumps (2004) (25)
- Highly-Ccalable, Physics-Informed GANs for Learning Solutions of Stochastic PDEs (2019) (25)
- A family of time-staggered schemes for integrating hybrid DPD models for polymers: Algorithms and applications (2006) (25)
- Parallel multiscale simulations of a brain aneurysm (2013) (24)
- A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems (2017) (24)
- Spectral element‐FCT method for scalar hyperbolic conservation laws (1992) (24)
- Sub-iteration leads to accuracy and stability enhancements of semi-implicit schemes for the Navier-Stokes equations (2011) (24)
- Linking Gaussian process regression with data-driven manifold embeddings for nonlinear data fusion (2018) (24)
- Special Issue on "Fractional PDEs: Theory, Numerics, and Applications" (2015) (24)
- Wave–structure interaction: simulation driven by quantitative imaging (2004) (24)
- Deep transfer learning and data augmentation improve glucose levels prediction in type 2 diabetes patients (2021) (24)
- Parallel performance of the coarse space linear vertex solver and low energy basis preconditioner for spectral/hp elements (2009) (24)
- Collapse of Deep and Narrow Neural Nets (2018) (23)
- Multi-domain spectral collocation method for variable-order nonlinear fractional differential equations (2018) (23)
- A convergence study for SPDEs using combined Polynomial Chaos and Dynamically-Orthogonal schemes (2013) (23)
- Wick–Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations (2013) (23)
- Learning Poisson systems and trajectories of autonomous systems via Poisson neural networks (2020) (23)
- Probing the Twisted Structure of Sickle Hemoglobin Fibers via Particle Simulations. (2016) (23)
- Towards a Unified theory of Fractional and Nonlocal Vector Calculus (2020) (23)
- An Atomistic Fingerprint Algorithm for Learning Ab Initio Molecular Force Fields (2017) (23)
- WTEC Panel Report on International Assessment of Research and Development in Simulation-Based Engineering and Science (2013) (23)
- Improving SWATH Seakeeping Performance using Multi-Fidelity Gaussian Process and Bayesian Optimization (2018) (22)
- A New Class of Semi-Implicit Methods with Linear Complexity for Nonlinear Fractional Differential Equations (2018) (22)
- A computational mechanics special issue on: data-driven modeling and simulation—theory, methods, and applications (2019) (22)
- Adaptive Discontinuous Galerkin Method for Response-Excitation PDF Equations (2013) (22)
- Nonlocal Flocking Dynamics: Learning the Fractional Order of PDEs from Particle Simulations (2018) (22)
- A discontinuous Galerkin spectral/ hp grids (2000) (22)
- Data-driven Modeling of Hemodynamics and its Role on Thrombus Size and Shape in Aortic Dissections (2018) (21)
- Adaptive multi-element polynomial chaos with discrete measure (2015) (21)
- A large-eddy simulation study on the similarity between free vibrations of a flexible cylinder and forced vibrations of a rigid cylinder (2021) (21)
- Construction of non-Markovian coarse-grained models employing the Mori-Zwanzig formalism and iterative Boltzmann inversion. (2017) (21)
- Stochastic simulations of ocean waves: An uncertainty quantification study (2015) (21)
- Direct and Large-Eddy Simulation of the Flow Past a Sphere (1993) (21)
- Integrating blood cell mechanics, platelet adhesive dynamics and coagulation cascade for modelling thrombus formation in normal and diabetic blood (2021) (21)
- Sensitivity analysis and stochastic simulations of non‐equilibrium plasma flow (2009) (21)
- Statistical analysis and simulation of random shocks in stochastic Burgers equation (2014) (21)
- Strong and Auxiliary Forms of the Semi-Lagrangian Method for Incompressible Flows (2005) (21)
- Quantifying Shear-Induced Deformation and Detachment of Individual Adherent Sickle Red Blood Cells. (2019) (21)
- Simulating progressive intramural damage leading to aortic dissection using DeepONet: an operator–regression neural network (2021) (21)
- Random roughness enhances lift in supersonic flow. (2007) (21)
- Symplectic networks: Intrinsic structure-preserving networks for identifying Hamiltonian systems (2020) (21)
- Convergence rate of DeepONets for learning operators arising from advection-diffusion equations (2021) (20)
- Learning Functional Priors and Posteriors from Data and Physics (2021) (20)
- Towards stable coupling methods for high-order discretization of fluid-structure interaction: Algorithms and observations (2007) (20)
- Dynamic and rheological properties of soft biological cell suspensions (2016) (20)
- A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows (2010) (20)
- Nεκταr code: Dynamic simulations without remeshing (1999) (20)
- A sharp error estimate for the fast Gauss transform (2006) (20)
- Fractional SEIR Model and Data-Driven Predictions of COVID-19 Dynamics of Omicron Variant (2022) (20)
- Mixed spectral/hp element formulation for nonlinear elasticity (2012) (20)
- A spectral vanishing viscosity method for stabilizing viscoelastic flows (2003) (20)
- Systematic parameter inference in stochastic mesoscopic modeling (2016) (20)
- One-dimensional modeling of fractional flow reserve in coronary artery disease: Uncertainty quantification and Bayesian optimization (2019) (20)
- Direct numerical simulations of two-phase flow in an inclined pipe (2017) (20)
- Learning two-phase microstructure evolution using neural operators and autoencoder architectures (2022) (20)
- A discontinuous Galerkin method for two-temperature plasmas (2006) (20)
- A seamless approach to multiscale complex fluid simulation (2005) (19)
- An integrated simulator for coupled domain problems in MEMS (2001) (19)
- A Multistage Wiener Chaos Expansion Method for Stochastic Advection-Diffusion-Reaction Equations (2012) (19)
- Patient-specific modeling of individual sickle cell behavior under transient hypoxia (2017) (19)
- Fractional Burgers equation with nonlinear non-locality: Spectral vanishing viscosity and local discontinuous Galerkin methods (2017) (18)
- Multiscale modeling of blood flow in cerebral malaria (2009) (18)
- Fluctuating hydrodynamics in periodic domains and heterogeneous adjacent multidomains: Thermal equilibrium. (2015) (18)
- Deep learning of inverse water waves problems using multi-fidelity data: Application to Serre-Green-Naghdi equations (2022) (18)
- Stochastic smoothed profile method for modeling random roughness in flow problems (2013) (18)
- Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems (2022) (18)
- Karhunen-Loeve Representation of Periodic Second-Order Autoregressive Processes (2004) (18)
- DPIV/T-driven convective heat transfer simulation (2002) (18)
- cDPD: A new dissipative particle dynamics method for modeling electrokinetic phenomena at the mesoscale. (2016) (18)
- Dual-Level Parallelism for Deterministic and Stochastic CFD Problems (2002) (18)
- TRAINABILITY OF ReLU NETWORKS AND DATA-DEPENDENT INITIALIZATION (2020) (17)
- DNS of flow past a stationary and oscillating cylinder at Re 1⁄4 10 000 (2005) (17)
- Supercritical quasi-conduction states in stochastic Rayleigh–Bénard convection (2012) (17)
- Mesoscopic Adaptive Resolution Scheme toward Understanding of Interactions between Sickle Cell Fibers. (2017) (17)
- New evolution equations for the joint response-excitation probability density function of stochastic solutions to first-order nonlinear PDEs (2012) (17)
- GFINNs: GENERIC formalism informed neural networks for deterministic and stochastic dynamical systems (2021) (17)
- Predictive modelling of thrombus formation in diabetic retinal microaneurysms (2020) (16)
- Coarse-grained red blood cell model with accurate mechanical properties, rheology and dynamics (2009) (16)
- Spectral / hp Methods For Elliptic Problems on Hybrid Grids (1998) (16)
- An integrated framework for building trustworthy data-driven epidemiological models: Application to the COVID-19 outbreak in New York City (2021) (16)
- A Semi-Lagrangian Method for Turbulence Simulations Using Mixed Spectral Discretizations (2002) (16)
- Wiener Chaos Versus Stochastic Collocation Methods for Linear Advection-Diffusion-Reaction Equations with Multiplicative White Noise (2015) (16)
- Direct Numerical Simulation of Turbulence with a PC/Linux Cluster: Fact or Fiction? (1999) (16)
- A Scalable Domain Decomposition Method for Ultra-Parallel Arterial Flow Simulations † (2008) (15)
- Runtime Visualization of the Human Arterial Tree (2007) (15)
- A multi-fidelity framework for investigating the performance of super-cavitating hydrofoils under uncertain flow conditions (2017) (15)
- A phase-field/ALE method for simulating fluid–structure interactions in two-phase flow (2016) (15)
- Comprehensive 3-D notching simulator with nonplanar substrates (1990) (15)
- Grid solutions for biological and physical cross-site simulations on the TeraGrid (2006) (15)
- Dissipative Particle Dynamics: Foundation, Evolution, Implementation, and Applications (2017) (15)
- Simulations of viscous supersonic flows on unstructured h-p meshes (1997) (15)
- Analysis of hydrodynamic fluctuations in heterogeneous adjacent multidomains in shear flow. (2016) (14)
- Concurrent coupling of atomistic simulation and mesoscopic hydrodynamics for flows over soft multi-functional surfaces. (2018) (14)
- Evidence of holes in the Arnold tongues of flow past two oscillating cylinders. (2006) (14)
- Strong and weak convergence order of finite element methods for stochastic PDEs with spatial white noise (2016) (14)
- Flow past a stationary and moving cylinder: DNS at Re=10,000 (2004) (14)
- Control of external flows via electro-magnetic fields (1995) (14)
- Quantifying Fibrinogen-Dependent Aggregation of Red Blood Cells in Type 2 Diabetes Mellitus (2020) (14)
- A fast multi-fidelity method with uncertainty quantification for complex data correlations: Application to vortex-induced vibrations of marine risers (2020) (14)
- On the influence of over-parameterization in manifold based surrogates and deep neural operators (2022) (14)
- Quantifying Uncertainty in CFD (2002) (14)
- Predictability and uncertainty in flow–structure interactions (2004) (13)
- Forecasting solar-thermal systems performance under transient operation using a data-driven machine learning approach based on the deep operator network architecture (2022) (13)
- COMPUTATIONAL AND EXPERIMENTAL STUDIES OF AN ACTIVE SKIN FOR TURBULENT DRAG REDUCTION (2002) (13)
- Flow in complex domains simulated by Dissipative Particle Dynamics driven by geometry-specific body-forces (2016) (13)
- nn-PINNs: Non-Newtonian Physics-Informed Neural Network for complex fluids modeling (2021) (13)
- A Universal Fractional Model of Wall-Turbulence (2018) (13)
- P-refinement and P-threads (2003) (12)
- An end-to-end simulator for the all-electric ship MVDC integrated power system (2010) (12)
- A phase-field method for boiling heat transfer (2021) (12)
- Physics-Informed Learning Machines for Partial Differential Equations: Gaussian Processes Versus Neural Networks (2020) (12)
- Quantitative prediction of erythrocyte sickling for the development of advanced sickle cell therapies (2019) (12)
- A Recursive Sparse Grid Collocation Method for Differential Equations with White Noise (2013) (12)
- Numerical Methods for SPDEs with Tempered Stable Processes (2015) (12)
- Multifidelity Deep Operator Networks (2022) (12)
- HIGH-ORDER FINITE ELEMENTS FOR FLUID-STRUCTURE INTERACTION PROBLEMS (2003) (12)
- The flow dynamics of the garden-hose instability (2015) (11)
- A Computational Stochastic Methodology for the Design of Random Meta-materials under Geometric Constraints (2018) (11)
- Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations (2020) (11)
- A general CFD framework for fault-resilient simulations based on multi-resolution information fusion (2017) (11)
- A discrete mesoscopic particle model of the mechanics of a multi-constituent arterial wall (2016) (11)
- Generative Ensemble-Regression: Learning Stochastic Dynamics from Discrete Particle Ensemble Observations (2020) (11)
- Approximation rates of DeepONets for learning operators arising from advection-diffusion equations (2022) (11)
- Flow‐induced vibrations of non‐linear cables. Part 1: Models and algorithms (2002) (10)
- A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems (2018) (10)
- Extrapolation-Based Acceleration of Iterative Solvers: Application to Simulation of 3D Flows (2011) (10)
- Systems Biology: Identifiability analysis and parameter identification via systems-biology informed neural networks (2022) (10)
- Active- and transfer-learning applied to microscale-macroscale coupling to simulate viscoelastic flows (2020) (10)
- A Discontinuous Galerkin Method in Moving Domains (2000) (10)
- The crisis of transport measures in chaotic flow past a cylinder (1989) (10)
- Simulating turbulence in complex geometries (1999) (10)
- Communication Performance Models in Prism : A Spectral Element-Fourier Parallel Navier-Stokes Solver (1996) (10)
- DNS and experiments of flow past a wired cylinder at low Reynolds number (2004) (10)
- Hybrid spectral-element-low-order methods for incompressible flows (1991) (10)
- Deep transfer operator learning for partial differential equations under conditional shift (2022) (9)
- Correlation Length and Force Phasing of a Rigid Cylinder Subject to VIV (2003) (9)
- A stabilized phase-field method for two-phase flow at high Reynolds number and large density/viscosity ratio (2019) (9)
- Spectral Element and hp Methods (2004) (9)
- How important are activation functions in regression and classification? A survey, performance comparison, and future directions (2022) (9)
- Neural operator learning of heterogeneous mechanobiological insults contributing to aortic aneurysms (2022) (9)
- A Multifidelity Framework and Uncertainty Quantification for Sea Surface Temperature in the Massachusetts and Cape Cod Bays (2020) (9)
- Physics-Informed Deep Neural Operator Networks (2022) (9)
- MODELING SEPARATION IN RAREFIED GAS FLOWS (1997) (9)
- Multi-Disciplinary Risk-Adaptive Design of Super-Cavitating Hydrofoil (2018) (8)
- Trainability and Data-dependent Initialization of Over-parameterized ReLU Neural Networks (2019) (8)
- Fractional magneto-hydrodynamics: Algorithms and applications (2019) (8)
- Molecular hydrodynamics: Vortex formation and sound wave propagation. (2017) (8)
- A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion (2017) (8)
- Density-dependent finite system-size effects in equilibrium molecular dynamics estimation of shear viscosity: Hydrodynamic and configurational study. (2019) (8)
- An entropy-viscosity large eddy simulation study of turbulent flow in a flexible pipe (2018) (8)
- Numerical solution of the Stratonovich- and Ito-Euler equations: Application to the stochastic piston problem (2013) (8)
- VPINNs: VARIATIONAL PHYSICS-INFORMED NEURAL NETWORKS FOR SOLVING PARTIAL DIFFERENTIAL EQUATIONS ̊ (2019) (8)
- How the spleen reshapes and retains young and old red blood cells: A computational investigation (2021) (8)
- Scalable algorithms for physics-informed neural and graph networks (2022) (8)
- Generative Ensemble Regression: Learning Particle Dynamics from Observations of Ensembles with Physics-informed Deep Generative Models (2022) (8)
- Modeling Random Roughness in Supersonic Flow Past a Wedge (2006) (8)
- Deep transfer learning for partial differential equations under conditional shift with DeepONet (2022) (8)
- Algorithms for Propagating Uncertainty Across Heterogeneous Domains (2015) (8)
- A Spectral Penalty Method for Two-Sided Fractional Differential Equations with General Boundary Conditions (2018) (8)
- Controlled release of entrapped nanoparticles from thermoresponsive hydrogels with tunable network characteristics. (2020) (8)
- DIFFERENTIAL CONSTRAINTS FOR THE PROBABILITY DENSITY FUNCTION OF STOCHASTIC SOLUTIONS TO THE WAVE EQUATION (2012) (8)
- A probabilistic framework for multidisciplinary design: Application to the hydrostructural optimization of supercavitating hydrofoils (2018) (8)
- Tightly Coupled Atomistic-Continuum Simulations of Brain Blood Flow on Petaflop Supercomputers (2012) (8)
- Reliable extrapolation of deep neural operators informed by physics or sparse observations (2022) (7)
- Blood Flow at Arterial Branches: Complexities to Resolve for the Angioplasty Suite (2006) (7)
- Distribution of WSS on the Internal Carotid Artery With an Aneurysm: A CFD Sensitivity Study (2007) (7)
- Stochastic modeling of integrated power system coupled to hydrodynamics in the all-electric ship (2008) (7)
- Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms (2016) (7)
- Discovering and forecasting extreme events via active learning in neural operators (2022) (7)
- Computational investigation of blood cell transport in retinal microaneurysms (2022) (7)
- Fluid-structure interactions in a flexible pipe conveying two-phase flow (2021) (7)
- Anisotropic single-particle dissipative particle dynamics model (2017) (7)
- Design of the All-Electric Ship: Focus on Integrated Power System Coupled to Hydrodynamics (2008) (7)
- Computational modeling of the biomechanics and biorheology of heated red blood cells. (2021) (7)
- Topics in ultrascale scientific computing with application in biomedical modeling (2009) (7)
- Vorticity transport in modeling three‐dimensional unsteady shear flows (1995) (7)
- Spectral element-FCT method for the one- and two-dimensional compressible Euler equations (1994) (7)
- Supervised parallel-in-time algorithm for long-time Lagrangian simulations of stochastic dynamics: Application to hydrodynamics (2019) (7)
- NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators (2022) (7)
- Dissipative Particle Dynamics Modeling of Red Blood Cells (2010) (7)
- fPINNs: FRACTIONAL PHYSICS-INFORMED NEURAL NETWORKS\ast (2019) (7)
- Multilevel Parallelization Models in CFD (2004) (7)
- UNSTEADY HEAT TRANSFER FROM A CYLINDER IN CROSS FLOW; A DIRECT NUMERICAL SIMULATION (1986) (7)
- Microscopic theory of Brownian motion revisited: The Rayleigh model (2013) (6)
- Multiphysics and multiscale modeling of microthrombosis in COVID-19 (2022) (6)
- Multi-element probabilistic collocation for sensitivity analysis in cellular signalling networks. (2009) (6)
- Flow‐induced vibrations of non‐linear cables. Part 2: Simulations (2002) (6)
- Preface: theory, methods, and applications of mesoscopic modeling (2017) (6)
- Spectral element/smoothed profile method for turbulent flow simulations of waterjet propulsion systems (2010) (6)
- Numerical investigation of the spreading of self-excited stratified jets (1991) (6)
- Simulation of [delta]-phage DNA in microchannels using dissipative particle dynamics (2005) (6)
- Reynolds stress analysis of controlled wall-bounded turbulence (1996) (6)
- Reinforcement Learning for Active Flow Control in Experiments (2020) (6)
- Comparison of Turbulence Models for Simulating Flow in Waterjets (2011) (6)
- Incompressible Computational Fluid Dynamics: Spectral Element and Lattice Gas Methods for Incompressible Fluid Dynamics (1993) (6)
- Dissipative Particle Dynamics, Overview (2015) (6)
- Stochastic Domain Decomposition via Moment Minimization (2018) (6)
- Multiscale parareal algorithm for long-time mesoscopic simulations of microvascular blood flow in zebrafish (2021) (6)
- A fast solver for spectral elements applied to fractional differential equations using hierarchical matrix approximation (2020) (6)
- Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow (2017) (6)
- DNS of Turbulent Drag Reduction Using Micro-Bubbles (2003) (6)
- General coarse-grained red blood cell models: I. Mechanics (2009) (6)
- Heat Transfer Prediction With Unknown Thermal Boundary Conditions Using Physics-Informed Neural Networks (2020) (6)
- A hybrid spectral/DG method for solving the phase-averaged ocean wave equation: Algorithm and validation (2012) (6)
- A fast solver for spectral element approximation applied to fractional differential equations using hierarchical matrix approximation. (2018) (5)
- Effects of thermal noise on the transitional dynamics of an inextensible elastic filament in stagnation flow. (2015) (5)
- DC FAULT PROTECTION IN SHIPBOARD POWER SYSTEMS USING Z-SOURCE BREAKERS (2011) (5)
- Adaptive Numerical Solutions of Stochastic Differential Equations (2005) (5)
- Physics‐Informed Neural Networks (PINNs) for Wave Propagation and Full Waveform Inversions (2022) (5)
- Parallel DNS algorithms on unstructured grids (2000) (5)
- Particle Flurries: a Case Study of Synoptic 3D Pulsatile Flow Visualization (2004) (5)
- Efficient two-dimensional simulations of the fractional Szabo equation with different time-stepping schemes (2017) (5)
- Modeling Uncertainty In Three-dimensional HeatTransfer Problems (2004) (5)
- Brownian Motion of a Rayleigh Particle Confined in a Channel: A Generalized Langevin Equation Approach (2015) (5)
- Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows (2005) (5)
- Spectral Representations of Uncertainty: Algorithms and Applications (2005) (5)
- Simulation and visualization of flow around bat wings during flight (2004) (5)
- A hybrid spectral element-finite difference method for parallel computers (1992) (5)
- In silico biophysics and hemorheology of blood hyperviscosity syndrome. (2021) (5)
- Fractional-Order Viscoelasticity in One-Dimensional Blood Flow Models (2014) (5)
- Turbulence in a Localized Puff in a Pipe (2019) (4)
- Visualization of Vortices in Simulated Airflow around Bat Wings During Flight (2004) (4)
- Neural operator prediction of linear instability waves in high-speed boundary layers (2022) (4)
- Understanding the Twisted Structure of Amyloid Fibrils via Molecular Simulations. (2018) (4)
- Stochastic Solvers for the Euler Equations (2005) (4)
- A semi‐local spectral/hp element solver for linear elasticity problems (2014) (4)
- A Tunably-Accurate Laguerre Petrov-Galerkin Spectral Method for Multi-Term Fractional Differential Equations on the Half Line (2016) (4)
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- Project Description Understanding Unsteady Bioflows through Simulation , Modeling , Visualization , Art , and Psychology (2005) (0)
- Numerical methods for stochastic differential equations (2017) (0)
- A design for the interface between a battery storage and charging unit, and a medium voltage DC (MVDC) bus, as part of an integrated propulsion system (IPS) in the all electric ship (AES) (2011) (0)
- RNG MODELLING TECHNIQUES FOR COMPLEX TURBULENT FLOWS (1989) (0)
- ALGORITHMS FOR INCOMPRESSIBLE FLOWS (2005) (0)
- Platelets aggregation in pathological conditions: role of local shear rates and platelet activation delay time. (2015) (0)
- Application of collocation method to stochastic conservation laws (2017) (0)
- Unsteady 3D flow simulations in cranial arterial tree (2008) (0)
- Dissipative particle dynamics modeling of red blood cells 6 (2009) (0)
- Temporal variation of wall shear stress on the aneurysms in the supraclinoid internal carotid artery (2009) (0)
- Data-driven Modeling of Hemodynamics and its Role on Thrombus Size and Shape in Aortic Dissections (2018) (0)
- Three-dimensional simulations of flow around cylinders with fairing to suppress VIV (2014) (0)
- Parallel Multi-Scale Algorithms and Applications to Turbulence (1997) (0)
- Numerical Simulation Of Microflows And Nanoflows (2010) (0)
- Basic Concepts and Tools (2003) (0)
- Video: Transmigration of a red blood cell through an interendothelial slit in the human spleen (2014) (0)
- Simulation of blood flow in a microvascular bifurcation using the proposed open boundary conditions. (2015) (0)
- Poster: Multiscale simulation of red blood cell tethering in a capillary (2014) (0)
- A New Mathematical Framework for Design Under Uncertainty (2016) (0)
- Dissipative Particle Dynamics Simulations at Extreme Scale: GPU Algorithms, Implementation and Applications (2014) (0)
- Turbulence in a Localized Puff in a Pipe (2018) (0)
- Supercritical Quasi-conduction States and Multiple Stable Flows in Stochastic Rayleigh-Bénard Convection (2012) (0)
- Particle-based modeling effect of shape transform of single sickle red blood cells (2016) (0)
- Soft Matter (2015) (0)
- Vortex-induced vibrations of a long flexible cylinder in transitional and turbulent flows (2009) (0)
- Multiscale modeling of sickle anemia blood blow by Dissipative Partice Dynamics (2011) (0)
- Final Technial Report Stochastic Nonlinear Data-Reduction Methods with Detection and Prediction of Critical Rare Event DESC 0002542 ( ER 25923 ) PI : (2013) (0)
- Simultaneous measurement of flow over and transmigration through a cultured endothelial cell layer (2013) (0)
- Relaxation: Discretization and Solvers (2003) (0)
- Wall Shear Stress Fluctuations due to Flow Instability in Intracranial Aneurysms (2010) (0)
- Traveling Waves in Natural-convection Flow Around an Array of Heated Cylinders (2015) (0)
- A new computational paradigm in multiscale simulations with applications to brain blood flow (2011) (0)
- Multiscale modeling of thrombus formation and its application in simulating the development of thrombus in retinal microaneurysms (2019) (0)
- Final Technical Report - Stochastic Analysis of Advection-Diffusion-reaction Systems with Applications to Reactive Transport in Porous Media - DE-FG02-07ER24818 (2014) (0)
- A Multiscale Model for the Brain Vascular Network (2007) (0)
- Snaphot for simulation of the blood flow in part of arterial network with three inlets and multiple outlets. (2015) (0)
- Fractional Modeling of Viscoelasticity in Brain Aneurysms (2014) (0)
- Nonlinear models and 3D motion in VIV (1999) (0)
- Multiscale Modeling of Malaria (2011) (0)
- Microbubble-flow interactions in turbulent channel flow (2001) (0)
- A Hybrid Deep Neural Operator/Finite Element Method for Ice-Sheet Modeling (2023) (0)
- Mathematical and Computational Issues in Plasma Microthrusters (2000) (0)
- Abstract Submitted for the MAR12 Meeting of The American Physical Society Quantifying the abnormal hemodynamics of sickle cell anemia1 (2011) (0)
- Algorithms for Propagating Uncertainty Across Heterogeneous Domains | SIAM Journal on Scientific Computing | Vol. 37, No. 6 | Society for Industrial and Applied Mathematics (2015) (0)
- Modeling Mesoscale Processes of Scalable Synthesis Final Scientific/Technical Report (2018) (0)
- Mesoscopic modeling of non-isothermal fluid systems (2013) (0)
- Piezo-electric eels as power generators (1999) (0)
- DNS of two-phase flow in an inclined pipe (2016) (0)
- A High-Order Discontinuous Galerkin Method for Modeling Micro-Pulsed Plasma Thrusters*+ (2001) (0)
- Final Technical Report - Stochastic Nonlinear Data-Reduction Methods with Detection and Prediction of Critical Rare Event (2013) (0)
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