Jan S. Hesthaven | Academic Influence

Jan S. Hesthaven's AcademicInfluence.com Rankings

Jan S. Hesthaven

Mathematics

#3942

World Rank

#5691

Historical Rank

Applied Mathematics

#154

World Rank

#171

Historical Rank

Measure Theory

#879

World Rank

#1154

Historical Rank

mathematics Degrees

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Mathematics

Jan S. Hesthaven's Degrees

PhD Applied Mathematics Technical University of Denmark
Masters Applied Mathematics Technical University of Denmark

Why Is Jan S. Hesthaven Influential?

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According to Wikipedia, Jan S. Hesthaven is a Danish mathematician, currently Vice President for Academic Affairs at EPFL . He is Professor of Mathematics, holds the Chair of Computational Mathematics and Simulation Science , and was appointed Vice President for Academic Affairs at EPFL . He is particularly known for contributions to the development, analysis and application of high-order accurate computational methods for time-dependent partial differential equations. He has also contributed substantially to the development of reduced order models and the application of neural networks and machine learning techniques to problems in science and engineering.

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Jan S. Hesthaven's Published Works

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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

Nodal Discontinuous Galerkin Methods: Algorithms, Analysis, and Applications (2007) (1990)
High-Order Collocation Methods for Differential Equations with Random Inputs (2005) (1591)
Foreword (1999) (1361)
SPECTRAL METHODS FOR TIME-DEPENDENT PROBLEMS. (2007) (898)
Certified Reduced Basis Methods for Parametrized Partial Differential Equations (2015) (805)
Nodal high-order methods on unstructured grids (2002) (765)
Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations (2007) (420)
Nodal discontinuous Galerkin methods on graphics processors (2009) (410)
Spectral methods for hyperbolic problems (2001) (314)
Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations (2002) (268)
From Electrostatics to Almost Optimal Nodal Sets for Polynomial Interpolation in a Simplex (1998) (256)
On the constants in hp-finite element trace inverse inequalities (2003) (243)
Non-intrusive reduced order modeling of nonlinear problems using neural networks (2018) (199)
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes (2007) (166)
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem (2019) (161)
High-order nodal discontinuous Galerkin particle-in-cell method on unstructured grids (2006) (155)
Local discontinuous Galerkin methods for fractional diffusion equations (2013) (155)
Data-driven reduced order modeling for time-dependent problems (2019) (151)
Reduced order modeling for nonlinear structural analysis using Gaussian process regression (2018) (151)
High–order nodal discontinuous Galerkin methods for the Maxwell eigenvalue problem (2004) (150)
Regular Article: Well-posed Perfectly Matched Layers for Advective Acoustics (1999) (149)
Spectral Simulations of Electromagnetic Wave Scattering (1997) (149)
A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions (1996) (148)
Discontinuous Galerkin Method for Fractional Convection-Diffusion Equations (2013) (141)
On the Analysis and Construction of Perfectly Matched Layers for the Linearized Euler Equations (1998) (136)
Computational modeling of uncertainty in time-domain electromagnetics (2005) (129)
Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics (2002) (120)
EFFICIENT GREEDY ALGORITHMS FOR HIGH-DIMENSIONAL PARAMETER SPACES WITH APPLICATIONS TO EMPIRICAL INTERPOLATION AND REDUCED BASIS METHODS ∗ (2014) (120)
Convergent Cartesian Grid Methods for Maxwell's Equations in Complex Geometries (2001) (119)
Fast prediction and evaluation of gravitational waveforms using surrogate models (2013) (108)
A natural-norm Successive Constraint Method for inf-sup lower bounds (2010) (107)
A Stable Penalty Method for the Compressible Navier-Stokes Equations: II. One-Dimensional Domain Decomposition Schemes (1997) (106)
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method (2011) (105)
Stable Spectral Methods on Tetrahedral Elements (1999) (101)
High-order accurate methods in time-domain computational electromagnetics: A review (2003) (101)
A spectral multidomain penalty method model for the simulation of high Reynolds number localized incompressible stratified turbulence (2005) (93)
Polymorphic nodal elements and their application in discontinuous Galerkin methods (2009) (92)
An artificial neural network as a troubled-cell indicator (2018) (91)
Certified Reduced Basis Methods and Output Bounds for the Harmonic Maxwell's Equations (2010) (91)
Multidomain pseudospectral time-domain simulations of scattering by objects buried in lossy media (2002) (90)
Nodal DG-FEM solution of high-order Boussinesq-type equations (2007) (90)
Spectral penalty methods (2000) (88)
Uncertainty analysis for the steady-state flows in a dual throat nozzle (2005) (81)
Numerical Methods for Conservation Laws: From Analysis to Algorithms (2017) (81)
Regular Article: Spectral Collocation Time-Domain Modeling of Diffractive Optical Elements (1999) (78)
A Kernel Compression Scheme for Fractional Differential Equations (2017) (77)
Filtering in Legendre spectral methods (2008) (76)
Physics-informed machine learning for reduced-order modeling of nonlinear problems (2021) (74)
Structure Preserving Model Reduction of Parametric Hamiltonian Systems (2017) (73)
Sparse identification of a predator-prey system from simulation data of a convection model (2017) (72)
A pseudospectral method for time-domain computation of electromagnetic scattering by bodies of revolution (1999) (72)
Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism (2020) (72)
Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs (2005) (71)
A Stable Penalty Method for the Compressible Navier-Stokes Equations: III. Multidimensional Domain Decomposition Schemes (1998) (71)
Efficient Computation of RCS From Scatterers of Uncertain Shapes (2007) (70)
The reduced basis method for the electric field integral equation (2011) (67)
Staircase-free finite-difference time-domain formulation for general materials in complex geometries (2001) (67)
Numerical Approximation of the Fractional Laplacian via $$hp$$hp-finite Elements, with an Application to Image Denoising (2015) (67)
Reduced basis catalogs for gravitational wave templates. (2011) (66)
Dynamical properties of vortical structures on the beta-plane (1994) (64)
Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell"s problem (2009) (64)
Multidomain pseudospectral computation of Maxwell's equations in 3-D general curvilinear coordinates (2000) (61)
Research and Education in Computational Science and Engineering (2016) (60)
Flowfield Reconstruction Method Using Artificial Neural Network (2019) (59)
A multi-domain spectral method for time-fractional differential equations (2015) (58)
A level set discontinuous Galerkin method for free surface flows (2006) (57)
Stable multi-domain spectral penalty methods for fractional partial differential equations (2014) (56)
Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning (2009) (56)
High-Order Accurate Methods for Time-domain Electromagnetics (2004) (55)
Analysis and application of the nodal discontinuous Galerkin method for wave propagation in metamaterials (2014) (54)
Greedy Nonintrusive Reduced Order Model for Fluid Dynamics (2018) (53)
High‐porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite and lherzolite (2010) (52)
Local discontinuous Galerkin methods for fractional ordinary differential equations (2014) (51)
Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators (1998) (47)
Nodal discontinuous Galerkin methods for fractional diffusion equations on 2D domain with triangular meshes (2014) (46)
DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations (2008) (46)
Padé-Legendre Interpolants for Gibbs Reconstruction (2006) (45)
Spectral and high order methods for partial differential equations : selected papers from the ICOSAHOM '09 conference, June 22-26, Trondheim, Norway (2010) (44)
A pseudo-spectral scheme for the incompressible Navier-Stokes equations using unstructured nodal elements (2000) (44)
A parareal method for time-fractional differential equations (2015) (42)
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty (2011) (42)
Discontinuous Galerkin method for computing gravitational waveforms from extreme mass ratio binaries (2009) (40)
Spectral Methods for Time-Dependent Problems: Fourier spectral methods (2007) (39)
Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial viscosity tuned by neural networks (2020) (39)
A monotonic evaluation of lower bounds for inf-sup stability constants in the frame of reduced basis approximations (2008) (37)
Simulation-based Anomaly Detection and Damage Localization: An application to Structural Health Monitoring (2020) (37)
On the Use of Reduced Basis Methods to Accelerate and Stabilize the Parareal Method (2014) (37)
On ANOVA expansions and strategies for choosing the anchor point (2010) (36)
Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction (2018) (36)
Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography. (2017) (36)
Time domain room acoustic simulations using the spectral element method. (2019) (35)
A reduced basis method for electromagnetic scattering by multiple particles in three dimensions (2012) (34)
Detecting troubled-cells on two-dimensional unstructured grids using a neural network (2019) (32)
Constraint-aware neural networks for Riemann problems (2019) (31)
A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems (2020) (30)
Certified reduced basis method for electromagnetic scattering and radar cross section estimation (2012) (29)
Discontinuous Galerkin methods for the time-domain Maxwell's equations (2004) (29)
Dynamics of a nonlinear dipole vortex (1995) (29)
Time-domain finite element methods for Maxwell"s equations in metamaterials (2014) (29)
Numerical simulations with a first-order BSSN formulation of Einstein"s field equations (2012) (29)
Idempotent filtering in spectral and spectral element methods (2006) (29)
A seamless reduced basis element method for 2D Maxwell"s problem: An introduction (2011) (27)
Certified Reduced Basis Method for the Electric Field Integral Equation (2012) (27)
Predicting transport by Lagrangian coherent structures with a high-order method (2006) (26)
Estimation of groundwater storage from seismic data using deep learning (2018) (25)
Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems (2017) (25)
Communication-aware adaptive Parareal with application to a nonlinear hyperbolic system of partial differential equations (2018) (25)
Integration preconditioners for differential operators in spectral r-methods (2011) (24)
Special Issue on "Fractional PDEs: Theory, Numerics, and Applications" (2015) (24)
High-order accurate thin layer approximations for time-domain electromagnetics, Part II: Transmission layers (2010) (24)
Multi-domain Fourier-continuation/WENO hybrid solver for conservation laws (2011) (24)
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method (2017) (23)
Adaptive WENO Methods Based on Radial Basis Function Reconstruction (2017) (23)
High-Order Accurate Methods in Time-Domain Computational Electromagnetics (2002) (23)
High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations (2017) (22)
Efficient Solution of Ordinary Differential Equations with High-Dimensional Parametrized Uncertainty (2011) (22)
Systematic sensor placement for structural anomaly detection in the absence of damaged states (2020) (22)
High-Order Multiscale Finite Element Method for Elliptic Problems (2014) (22)
Dynamics of nonstationary dipole vortices (1993) (21)
High-Order Discontinuous Galerkin Methods by GPU Metaprogramming (2012) (21)
Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws (2013) (21)
Multi-fidelity regression using artificial neural networks: efficient approximation of parameter-dependent output quantities (2021) (21)
A Wavelet Optimized Adaptive Multi-Domain Method (1998) (20)
Persistent junk solutions in time-domain modeling of extreme mass ratio binaries (2010) (20)
Non-Linear PML Equations for Time Dependent Electromagnetics in Three Dimensions (2006) (19)
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations (2016) (19)
High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings (2009) (18)
Stable spectral methods for conservation laws on triangles with unstructured grids (1999) (18)
Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems (2001) (17)
Spectral Methods for Tempered Fractional Differential Equations (2016) (16)
An artificial neural network approach to bifurcating phenomena in computational fluid dynamics (2021) (16)
Reduced Basis Multiscale Finite Element Methods for Elliptic Problems (2015) (16)
On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations (2011) (16)
Generation of tripolar vortical structures on the beta plane (1993) (15)
A nodal discontinuous Galerkin finite element method for the poroelastic wave equation (2019) (15)
Parametrized Differential Equations (2016) (15)
Reduced basis methods for time-dependent problems (2022) (15)
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016 (2017) (15)
Pointwise error estimate in difference setting for the two-dimensional nonlinear fractional complex Ginzburg-Landau equation (2021) (15)
Entropy stable essentially nonoscillatory methods based on RBF reconstruction (2018) (14)
Discontinuous Galerkin method for the spherically reduced Baumgarte-Shapiro-Shibata-Nakamura system with second-order operators (2010) (14)
PSEUDOSPECTRAL METHOD FOR THE ANALYSIS OF DIFFRACTIVE OPTICAL ELEMENTS (1999) (14)
Fast and accurate modeling of waveguide grating couplers. II. Three-dimensional vectorial case. (2001) (13)
Fast screening of covariates in population models empowered by machine learning (2021) (13)
Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012: Selected papers from the ICOSAHOM conference, June 25-29, 2012 (2013) (13)
High-performance high-order simulation of wave and plasma phenomena (2010) (12)
Simulations of the Weibel instability with a High-Order Discontinuous Galerkin Particle-In-Cell Solver (2006) (12)
Vortex dynamics in plasmas and fluids (1994) (12)
Structure-preserving reduced basis methods for Poisson systems (2021) (11)
Model Reduction Opportunities in Detailed Simulations of Combustion Dynamics (2014) (11)
Conservative Model Order Reduction for Fluid Flow (2020) (11)
High-Order Accurate Local Schemes for Fractional Differential Equations (2017) (11)
Model order reduction for large-scale structures with local nonlinearities (2019) (11)
Solving Wave Equations on Unstructured Geometries (2013) (11)
Dipolar vortices in two-dimensional flows (1996) (11)
Spectral Methods for Time-Dependent Problems: Orthogonal polynomials (2007) (10)
Computation of connection coefficients and measure modifications for orthogonal polynomials (2012) (10)
A generalization of the Wiener rational basis functions on infinite intervals: Part I-derivation and properties (2009) (10)
Controlling oscillations in spectral methods by local artificial viscosity governed by neural networks (2020) (10)
Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method (2011) (10)
Time-domain room acoustic simulations with extended-reacting porous absorbers using the discontinuous Galerkin method. (2020) (10)
Numerical studies of localized wavefields governed by the Raman-extended derivative nonlinear Schrodinger equation (1997) (10)
Multilevel and local time-stepping discontinuous Galerkin methods for magma dynamics (2015) (9)
Analytical and numerical study on grating depth effects in grating coupled waveguide sensors (2005) (9)
An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme (2020) (9)
The next step in coastal numerical models: spectral/hp element methods? (2005) (9)
Spectral and high order methods for partial differential equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, june 23-27, 2014, salt lake city, Utah, USA (2015) (8)
A reduced basis method for multiple electromagnetic scattering in three dimensions (2011) (8)
Population pharmacokinetic model selection assisted by machine learning (2021) (8)
Structure-preserving model order reduction of Hamiltonian systems (2020) (8)
A multi-domain Chebyshev collocation method for predicting ultrasonic field parameters in complex material geometries. (2002) (8)
Rank-adaptive structure-preserving reduced basis methods for Hamiltonian systems (2020) (8)
On the Constants in hp-Finite Element Trace Inequalities (2002) (7)
A generalization of the Wiener rational basis functions on infinite intervals, Part II - Numerical investigation (2009) (7)
The key ideas (2008) (7)
Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations (2017) (7)
Numerical modeling of double-layered piezoelectric transducer systems using a high-order discontinuous Galerkin method (2008) (7)
Reduced Basis Methods (2016) (7)
Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces Wm,p (Ω) (2020) (7)
Fast and accurate boundary variation method for multilayered diffraction optics. (2004) (7)
Modeling Dielectric Interfaces in the FDTD-Method: A Comparative Study (2000) (7)
A phenomenological extended-reaction boundary model for time-domain wave-based acoustic simulations under sparse reflection conditions using a wave splitting method (2021) (7)
Accurate reconstruction of discontinuous functions using the singular pade-chebyshev method (2012) (6)
Symplectic Model-Reduction with a Weighted Inner Product (2018) (6)
Two-Dimensional RBF-ENO Method on Unstructured Grids (2020) (6)
A comparative study of shock capturing models for the discontinuous Galerkin method (2017) (6)
D ec 2 01 0 Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators (2010) (6)
Artificial neural network for bifurcating phenomena modelled by nonlinear parametrized PDEs (2021) (6)
A LAPLACE TRANSFORM BASED KERNEL REDUCTION SCHEME FOR FRACTIONAL DIFFERENTIAL EQUATIONS (2015) (6)
Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability (2021) (6)
High-Order Adaptive Methods for Fractional Differential Equations Using a Reduced Kernel Formulation (2016) (6)
A data-driven shock capturing approach for discontinuous Galekin methods (2018) (6)
Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method (2015) (6)
Fault Tolerance in the Parareal Method (2016) (6)
Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a State-dependent Poisson Structure (2020) (6)
Binary black-hole surrogate waveform catalog (2018) (6)
Accuracy of High Order and Spectral Methods for Hyperbolic Conservation Laws with Discontinuous Solutions (2015) (5)
Structure-Preserving Reduced Basis Methods for Hamiltonian Systems with a Nonlinear Poisson Structure (2018) (5)
High-order unstructured grid methods for time-domain electromagnetics (2002) (5)
An Adjoint Approach for Stabilizing the Parareal Method (2015) (5)
Multiscale modelling of sound propagation through the lung parenchyma (2014) (5)
The Eulerian-Lagrangian transformation in two-dimensional random flows (1995) (5)
Viscous stabilizations for high order approximations of Saint-Venant and Boussinesq flows (2018) (5)
High-order localized time integration for grid-induced stiffness (2003) (5)
Modeling of the Frozen Mode Phenomenon and its Sensitivity Using Discontinuous Galerkin Methods (2007) (5)
Discontinuous Galerkin discretizations of the Boltzmann-BGK equations for nearly incompressible flows: Semi-analytic time stepping and absorbing boundary layers (2018) (5)
FC-based shock-dynamics solver with neural-network localized artificial-viscosity assignment (2021) (5)
High-Order Discontinuous Galerkin Methods for Computational Electromagnetics and Uncertainty Quantification (2010) (4)
Hybrid high-resolution RBF-ENO method (2021) (4)
A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations (2020) (4)
A pseudospectral collocation time-domain method for diffractive optics (2000) (4)
Multi-fidelity surrogate modeling using long short-term memory networks (2022) (4)
A Local Discontinuous Galerkin Method for Two-Dimensional Time Fractional Diffusion Equations (2020) (4)
Pade-Jacobi Approximants (2004) (4)
Waves at a fluid-solid interface: Explicit versus implicit formulation of boundary conditions using a discontinuous Galerkin method. (2020) (4)
Modeling synchronization in globally coupled oscillatory systems using model order reduction. (2021) (3)
Spectral interpolation in non-orthogonal domains: algorithms and applications (2007) (3)
Developments in Overlapping Schwarz Preconditioning of High-Order Nodal Discontinuous Galerkin Discretizations (2007) (3)
An iterative approach to improve Non-intrusive Reduced-Order Models efficiency for parameterized problems (2017) (3)
Editorial: Waves 2005 Conference (2007) (3)
Coherent structures in plasmas and fluids (1995) (3)
BIT Numerical Mathematics: Editorial (2005) (3)
Rare event simulation for large-scale structures with local nonlinearities (2020) (2)
Control of Lagrangian Coherent Structures (2002) (2)
The penalty method for systems of hyperbolic and mixed type (1994) (2)
Characterization of Image Spaces of Riemann-Liouville Fractional Integral Operators on Sobolev Spaces $W^{m,p}(\Omega)$ (2016) (2)
Dynamics of nonlinear dipole vortices (1994) (2)
Rigorous analysis of focusing grating couplers using a time-domain spectral collocation method (2000) (2)
FDTD method for Maxwells equations in complex geometries (2000) (2)
RBF Based CWENO Method (2020) (2)
Modeling 3 D Magma Dynamics Using a Discontinuous Galerkin Method (2014) (2)
Efficient numerical room acoustic simulations with parametrized boundaries using the spectral element and reduced basis method (2021) (2)
Reduced basis methods for numerical room acoustic simulations with parametrized boundaries. (2021) (2)
The Application of the Fast Fourier Transform to Jacobi Polynomial expansions (2009) (2)
A Flow Field Reconstruction Method Using Artificial Neural Network (2018) (2)
Preface to the Focused Issue on Fractional Derivatives and General Nonlocal Models (2019) (2)
Rigorous 3-D analysis of focusing grating couplers using a spectral collocation method (2000) (2)
Multi-domain pseudospectral time-domain method for lossy media (2001) (2)
MATHICSE Technical Report: Controlling oscillations in high-order Discontinuous Galerkin schemes using artificial\ viscosity tuned by neural networks (2019) (2)
A Multidomain Pseudospectral Formulation for the Simulation of Elastic Wave Scattering (2001) (1)
Projective multiscale time-integration for electrostatic particle-in-cell methods (2016) (1)
Singularity-based Approach in a Padé-Chebyshev Resolution of the Gibbs Phenomenon (2012) (1)
Adaptive symplectic model order reduction of parametric particle-based Vlasov-Poisson equation (2022) (1)
High-order methods for the analysis of diffractive optics (2001) (1)
Analytical Theory of Grating Couplers for Waveguide Sensing: A Perturbational Approach and Its Limitations (2004) (1)
Making it work in one dimension (2008) (1)
DISCONTINUOUS GALERKIN METHODS FOR SOLVING ACOUSTIC PROBLEMS ŘEŠENÍ PROBLÉMŮ AKUSTIKY POMOCÍ NESPOJITÉ GALERKINOVY METODY (2015) (1)
Beyond one dimension (2008) (1)
Pseudospectral time-domain modeling of diffractive optical elements (1998) (1)
A comparative study of earthquake source models in high-order accurate tsunami simulations (2019) (1)
Certified Error Control (2016) (1)
Spectral methods: algorithms, analysis and applications [book review of MR2867779] (2013) (1)
Multiscale time-integration for particle-in-cell methods. (2014) (1)
METHODS FOR FRACTIONAL DIFFUSION EQUATIONS (2010) (1)
Rigorous three-dimensional analysis of surface-relief gratings using a spectral collocation method (2000) (1)
FOREWORD (2006) (1)
Insight through theory (2008) (1)
Predictive Monitoring of Large-Scale Engineering Assets Using Machine Learning Techniques and Reduced-Order Modeling (2021) (1)
Viscous Shock Capturing in a Time-Explicit DG Method 1 . 1 The Discontinuous Galerkin Method Discontinuous (2010) (1)
Model order reduction for compressible flows solved using the discontinuous Galerkin methods (2022) (1)
A new variable shape parameter strategy for RBF approximation using neural networks (2022) (1)
Biased liquid crystal photonic bandgap fiber (2008) (1)
Analysis of grating couplers using the Boundary Variation method (2000) (1)
Nodal Discontinuous Element Methods: Formulations, Analysis, and Applications (2009) (1)
Integrated multi-scale simulations of drift-wave turbulence: coupling of two kinetic codes XGC1 and XGCa (2015) (1)
A Preconditioner Based on Low-Rank Approximation of Schur Complements (2015) (1)
A Possible Link between Mantle Heterogeneity and Dunite Channel Distribution in an Upwelling Mantle: A Numerical Study (2008) (1)
A preconditioner based on a low-rank approximation with applications to topology optimization (2015) (1)
Spectral Methods for Hyperbolic Problems11This revised and updated chapter is based partly on work from the author's original article first published in the Journal of Computational and Applied Mathematics, Volume 128, Gottlieb and Hesthaven, Elsevier, 2001. (2016) (1)
A Load Balanced Domain Decomposition Method Using Wavelet Analysis (2001) (1)
Two-level Overlapping Schwarz Preconditioning of Nodal Discontinuous Galerkin Discretizations of the Indenite Helmholtz Equation 1 (2004) (1)
The Empirical Interpolation Method (2016) (0)
Preface to Focused Issue on Discontinuous Galerkin Methods (2021) (0)
Spectral Methods for Time-Dependent Problems: Stability of polynomial spectral methods (2007) (0)
Spectral Methods for Time-Dependent Problems: Bibliography (2007) (0)
Fault Tolerance in the Parareal Method (Regular Paper) (2016) (0)
Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems (2023) (0)
Spectral Methods for Time-Dependent Problems: Spectral methods for nonsmooth problems (2007) (0)
Modeling the extended reaction of porous absorbers in time-domain wave-based room acoustic simulations (2021) (0)
Sparse Gradient Image Reconstruction from Incomplete Fourier Measurements and Prior Edge Information (2012) (0)
AI and IoT for Flow Modeling (2020) (0)
An Asymptotically Stable Penalty Method for Multi-Domain Solution of the Unsteady , Compressible Navier-$ tokes Equations (0)
EPSI 2013-2014. Annual Progress Report (2015) (0)
''A Wavelet Optimized Adaptive, High-Order, Multi-Domain Method for Parallel Architectures'' (2001) (0)
Spectral Methods for Time-Dependent Problems: From local to global approximation (2007) (0)
Spectral methods on general grids (2007) (0)
Properties of Reduced Basis catalogs for gravitational wave templates (2011) (0)
Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for (0)
High Order Methods for the Numerical Simulations of Reactive High Speed Flows (2002) (0)
ICASE Report No . 2001-6 High-order / Spectral Methods on Unstructured Grids I . Time-domain Solution of Maxwell ’ s Equations (2000) (0)
A Homotopy Method with Adaptive Basis Selection for Computing Multiple Solutions of Differential Equations (2020) (0)
Space-dependent source determination in a time-fractional diffusion equation using a local discontinuous Galerkin method (2017) (0)
Hyperbolic Problems: Theory and Computation (2015) (0)
High-Order Accurate Adaptive Kernel Compression Time-Stepping Schemes for Fractional Differential Equations (2017) (0)
3D field solver in toroidal geometry for the long wavelength E\&M modes (2014) (0)
———————————————————————————-Rank adaptive structure-preserving reduced basis methods for plasma physics (2020) (0)
Surrogate models for EOB gravitational waveforms (2014) (0)
DG-FEM in computational hydrodynamics (2006) (0)
Model order reduction for efficient numerical room acoustic simulations with parametrized boundaries (2021) (0)
Solving Wave Equations on (2013) (0)
Deep learning-based groundwater storage estimation from seismic data (2022) (0)
Two-Dimensional RBF-ENO Method on Unstructured Grids (2020) (0)
On the Constants in hp-Finite Element Inverse Inequalities (2003) (0)
Monitoring of water content in a porous reservoir by seismic data: A 3D simulation study (2022) (0)
Preface to Focused Issue on Discontinuous Galerkin Methods (2021) (0)
Reduced Basis for Gravitational Waves (2011) (0)
Fast and Accurate Boundary Variation Method for Multi-layered Diffraction Optics (2006) (0)
A zoo of polynomials (2007) (0)
On the Use of ANOVA Expansions in Reduced Basis Methods for Parametric Partial Differential Equations (2016) (0)
MATHICSE Technical Report: A non-intrusive multifidelity method for the reduced order modeling of nonlinear problems (2019) (0)
HE Antennas and Propagation Society and the Editorial Board of the Transactions are grateful to the following individuals who served as Reviewers during the calendar year 1998 (1998) (0)
Efficient Absorbing Layers for Weakly Compressible Flows (2012) (0)
Numerical studies of the Eulerian-Lagrangian transformation in two-dimensional isotropic turbulence (1992) (0)
Local discontinuous Galerkin methods for fractional ordinary differential equations (2014) (0)
POD-Kriging Reduced Method's Application in Tandem Cylinders' Flow (2018) (0)
Vortex dynamics in 2-dimensional flows (1993) (0)
Reduced basis methods with parameterized boundary conditions for room acoustics (2023) (0)
ANU volume 31 Cover and Front matter (2022) (0)
Computation of connection coefficients and measure modifications for orthogonal polynomials (2011) (0)
Efficient preconditioning of hp-FEM matrices arising from time-varying problems : an application to topology optimization (2016) (0)
Preface to the Focused Issue on WENO Schemes (2022) (0)
Efficient RCS estimation of 2-dimensional cylinder with random holes (2009) (0)
Discontinuous Galerkin Methods for Kinetic Plasma and Hybrid Plasma/Fluid Modeling with Applications to Microwave Generation and Laser-Matter Interaction (2011) (0)
Discontinuous Galerkin Discretizations of the Boltzmann Equations in 2 D : semi-analytic time stepping and absorbing boundary layers (2018) (0)
Apparent diffusion coefficient measured by diffusion MRI of moving and deforming domains. (2020) (0)
U ICASE A STABLE PENALTY METHOD FOR THE COMPRESSIBLE NAVIER-STOKES EQUATIONS (0)
Comparison of 2 FFT Libraries on the Amdahl Fujitsu VP Computer - NAG and Siemens Libraries (1992) (0)
Waveguides and Diffractive Elements for Non-contact Sensors: Analysis (1998) (0)
Fourier Collocation and Reduced Basis Methods for Fast Modeling of Compressible Flows (2022) (0)
Foreword (2005) (0)
Modelling Boundary Conditions in High-Order, Nodal, Time-Domain Finite Element Methods (2019) (0)
High-Order Accurate Time-Domain Electromagnetics and RCS Prediction for Dynamic and Uncertain Scatters (2007) (0)
Spectral Methods for Time-Dependent Problems: Trigonometric polynomial approximation (2007) (0)
High-Order Accuracy Methods for the Modeling and Design of Microoptics and Photonic Devices (2004) (0)
Population pharmacokinetic model selection assisted by machine learning (2021) (0)
Effective diffusion tensor measured by diffusion MRI of moving and deforming domains (2020) (0)
A nodal discontinous Galerkin spetral/hp method for high order Boussinesq-type equations (2005) (0)
Melt-rock reaction in the asthenospheric mantle: Perspectives from high-order accurate numerical simulations in 2D and 3D (2013) (0)
Spectral Methods for Time-Dependent Problems: Discrete stability and time integration (2007) (0)
MATHICSE Technical Report: Time domain room acoustic simulations using a spectral element method (2019) (0)
Viscous Shock Capturing in a Time-Explicit DG Method 1 . 1 The Discontinuous Galerkin Method 1 Discontinuous Galerkin ( DG ) methods (2013) (0)
Adaptive WENO Methods Based on Radial Basis Function Reconstruction (2017) (0)
Spectral Methods for Time-Dependent Problems: Polynomial spectral methods (2007) (0)
Optical solitons in the femtosecond regime (2002) (0)
Proceedings of the fourth international conference on Spectral and high order methods (ICOSAHOM 1998) (2000) (0)
A hierarchical preconditioner for wave problems in quasilinear complexity (2020) (0)
Large-Scale Tsunami Simulations using the Discontinuous Galerkin Method (2017) (0)
An Edge Detector Based on Artificial Neural Network with Application to Hybrid Compact-WENO Finite Difference Scheme (2020) (0)
Discovery of Slow Variables in a Class Of Multiscale Stochastic Systems Via Neural Networks (2021) (0)
Acknowledgements of reviewers 2018 (2019) (0)
An unstructered DG-FEM method for nonlinear wave-structure interaction (2006) (0)
Novel Mathematical and Computational Techniques for Robust Uncertainty Quantification (2011) (0)
DURIP10: Hybrid Computing Facilities Enabling Novel Developments for Stochastic Simulations and Research-related Education (2011) (0)
MATHICSE Technical Report: Simulation-Based Anomaly Detection and Damage Localization: an Application to Structural Health Monitoring (2019) (0)
PDE constrained optimization and design of frozen mode crystals (2008) (0)
Into the third dimension (2008) (0)
Spectral properties of discontinuous Galerkin operators (2008) (0)
MATHICSE Technical Report: Constraint-Aware Neural Networks for Riemann Problems (2019) (0)
Facility for Local Postprocessing, Visualization, and Animation of Remotely Simulated Very Large Temporal Datasets (2001) (0)
Hyperbolic Problems: Theory and Computation (2015) (0)
Lecture Notes in Computational Science and Engineering: Foreword (2011) (0)
Spectral Methods for Time-Dependent Problems: Polynomial approximation theory for smooth functions (2007) (0)
High-order accurate methods for solving Maxwell's equations: Applications to photonic crystals and thin layer coatings (2013) (0)
Brown University Division of Applied Mathematics The Interpolation of Gravitational Waveforms (2012) (0)
Singular Padé-Chebyshev Reconstruction : The Case When Jump Locations are Unknown (2012) (0)
High Order Accuracy Computational Methods for Long Time Integration of Nonlinear PDEs in Complex Domains (1998) (0)
Novel Approaches to the Modeling and Computations of Wave Phenomena (2008) (0)
Spectral Methods for Time-Dependent Problems: Elements of convergence theory (2007) (0)
Control of Mixing in Aeroengines Using Modern Dynamical Systems Methods (2003) (0)
Preface - Special volume in honor of Professor David Gottlieb (2012) (0)
Curvilinear elements and nonconforming discretizations (2008) (0)
Parallel High Order Accuracy Methods Applied to Non-Linear Hyperbolic Equations and to Problems in Materials Sciences (2012) (0)
Validation study of static and dynamic tsunami source models using the discontinuous Galerkin method for the spherical shallow water equations (2018) (0)
A Stable Spectral Multi-domain Method for the Unsteady, Compressible Navier-stokes Equations (0)
Applications of Model Reduction Techniques in Aerospace Combustors (2014) (0)
Structure-Preserving Model-Reduction of Dissipative Hamiltonian Systems (2018) (0)
Higher-order equations (2008) (0)
1. g From finite differences to finite elements: A short history of numerical analysis of partial differential (2003) (0)
Efficient preconditioning of hp -FEM matrix sequences with slowly-varying coefficients: An application to topology optimization (2017) (0)
High-Order Accurate Local Schemes for Fractional Differential Equations (2015) (0)
Efficient Preconditioning of hp-FEM Matrices by Hierarchical Low-Rank Approximations (2017) (0)
Advances and Challenges in Time-Integration of PDE's (2003) (0)
High-Order Accurate Particle-In-Cell (PIC) Methods on Unstructured Grids with Applications to Microwave Generation and Accelerator Modeling (2006) (0)
Spectral Methods for Time-Dependent Problems: Polynomial expansions (2007) (0)
Modeling extended-reaction boundary conditions in time-domain wave-based simulations of room acoustics (2019) (0)
Modeling synchronization in coupled oscillatory systems using model order reduction (2020) (0)

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