Qiang Du
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Chinese-American mathematician
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Mathematics
Qiang Du's Degrees
- PhD Mathematics University of Chicago
- Masters Mathematics University of Chicago
- Bachelors Mathematics Peking University
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Why Is Qiang Du Influential?
(Suggest an Edit or Addition)According to Wikipedia, Qiang Du , the Fu Foundation Professor of Applied Mathematics at Columbia University, is a Chinese mathematician and computational scientist. Prior to moving to Columbia, he was the Verne M. Willaman Professor of Mathematics at Pennsylvania State University affiliated with the Pennsylvania State University Department of Mathematics and Materials Sciences.
Qiang Du'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
- Centroidal Voronoi Tessellations: Applications and Algorithms (1999) (2084)
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (2012) (539)
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS (2013) (393)
- Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity (1992) (392)
- Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow (2003) (381)
- A phase field approach in the numerical study of the elastic bending energy for vesicle membranes (2004) (371)
- Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations (2006) (293)
- Numerical analysis of a continuum model of phase transition (1991) (274)
- Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions (2006) (258)
- Constrained Centroidal Voronoi Tessellations for Surfaces (2002) (238)
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation (1989) (229)
- Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions (2010) (212)
- Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations (2002) (194)
- Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations (2003) (193)
- Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches (2006) (187)
- Grid generation and optimization based on centroidal Voronoi tessellations (2002) (176)
- ANALYSIS OF A LINEAR FLUID-STRUCTURE INTERACTION PROBLEM (2003) (172)
- Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients (2000) (165)
- A phase field formulation of the Willmore problem (2005) (160)
- Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models (2014) (153)
- Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime (2001) (147)
- MATHEMATICAL ANALYSIS FOR THE PERIDYNAMIC NONLOCAL CONTINUUM THEORY (2011) (136)
- Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity (1994) (134)
- Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises (2002) (129)
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation (2019) (119)
- Numerical Studies of Discrete Approximations to the Allen--Cahn Equation in the Sharp Interface Limit (2009) (116)
- Nonlocal Constrained Value Problems for a Linear Peridynamic Navier Equation (2014) (115)
- Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity (2013) (114)
- Ginzburg-Landau vortices: dynamics, pinning, and hysteresis (1997) (108)
- A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization (2018) (107)
- Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation (2006) (104)
- Numerical methods for nonlocal and fractional models (2020) (103)
- Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications (2005) (103)
- The bond-based peridynamic system with Dirichlet-type volume constraint (2014) (101)
- A multi-level correction scheme for eigenvalue problems (2011) (98)
- Recent progress in robust and quality Delaunay mesh generation (2006) (98)
- Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations (2013) (96)
- ANALYSIS OF A PHASE FIELD NAVIER-STOKES VESICLE-FLUID INTERACTION MODEL (2007) (92)
- Fractional Diffusion on Bounded Domains (2015) (92)
- Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations (2015) (91)
- Energetic variational approaches in modeling vesicle and fluid interactions (2009) (91)
- Anisotropic Centroidal Voronoi Tessellations and Their Applications (2005) (89)
- On the variational limit of a class of nonlocal functionals related to peridynamics (2015) (87)
- Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations (2008) (86)
- Analysis of a Ladyzhenskaya model for incompressible viscous flow (1991) (86)
- Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere ☆ (2003) (83)
- A type of multilevel method for the Steklov eigenvalue problem (2014) (83)
- FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations (2005) (83)
- A Ginzburg–Landau type model of superconducting/normal junctions including Josephson junctions (1995) (82)
- Spectral implementation of an adaptive moving mesh method for phase-field equations (2006) (82)
- Acceleration schemes for computing centroidal Voronoi tessellations (2006) (81)
- Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes (2020) (80)
- A multigrid method for eigenvalue problem (2014) (78)
- Numerical approximations of the Ginzburg–Landau models for superconductivity (2005) (77)
- A New Approach for a Nonlocal, Nonlinear Conservation Law (2012) (76)
- Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation (2018) (76)
- Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws (1993) (75)
- The phase field method for geometric moving interfaces and their numerical approximations (2019) (74)
- The optimal centroidal Voronoi tessellations and the gersho's conjecture in the three-dimensional space (2005) (73)
- Analysis of a scalar nonlocal peridynamic model with a sign changing kernel (2013) (72)
- Morphology of critical nuclei in solid-state phase transformations. (2007) (71)
- Meshfree, probabilistic determination of point sets and support regions for meshless computing (2002) (71)
- Retrieving Topological Information for Phase Field Models (2005) (69)
- Nonlocal convection-diffusionvolume-constrained problems and jump processes (2014) (69)
- A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models (2013) (69)
- A Multigrid Method for Helmholtz Transmission Eigenvalue Problems (2014) (68)
- A model for variable thickness superconducting thin films (1996) (67)
- Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models (2016) (67)
- Modeling the spontaneous curvature effects in static cell membrane deformations by a phase field formulation (2005) (66)
- Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods (2011) (64)
- Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration (2006) (64)
- Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes (2017) (64)
- Shrinking Dimer Dynamics and Its Applications to Saddle Point Search (2012) (64)
- Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods (2019) (62)
- Discontinuous Galerkin Methods for Delay Differential Equations of Pantograph Type (2010) (61)
- An iterative-perturbation scheme for treating inhomogeneous elasticity in phase-field models (2005) (60)
- Recent developments in computational modelling of nucleation in phase transformations (2016) (60)
- Weak Solutions for the Cahn–Hilliard Equation with Degenerate Mobility (2016) (60)
- Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media (2003) (59)
- Efficient Parallel Algorithms for Parabolic Problems (2001) (59)
- Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow (1990) (57)
- Nonlocal Modeling, Analysis, and Computation (2019) (57)
- Finite element approximation of the Cahn–Hilliard equation on surfaces (2011) (56)
- Fast and accurate algorithms for simulating coarsening dynamics of Cahn–Hilliard equations (2015) (55)
- Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations (2016) (53)
- A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models (2013) (53)
- A model for superconducting thin films having variable thickness (1993) (51)
- Adhesion of vesicles to curved substrates. (2008) (51)
- Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes (2005) (50)
- Extreme-Scale Phase Field Simulations of Coarsening Dynamics on the Sunway TaihuLight Supercomputer (2016) (49)
- Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility (2016) (49)
- Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations (2017) (49)
- Constrained boundary recovery for three dimensional Delaunay triangulations (2004) (48)
- On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces (2009) (48)
- High order approximation of the Frobenius-Perron operator (1993) (47)
- Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations (2013) (47)
- Lower bounds of the discretization error for piecewise polynomials (2013) (47)
- From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids (2005) (46)
- Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem (2004) (46)
- A cooperative game for automated learning of elasto-plasticity knowledge graphs and models with AI-guided experimentation (2019) (45)
- Characterization of function spaces of vector fields and an application in nonlinear peridynamics (2016) (45)
- High-Kappa Limits of the Time-Dependent Ginzburg-Landau Model (1996) (44)
- Robust modeling of constant mean curvature surfaces (2012) (44)
- Centroidal Voronoi tessellation based algorithms for vector fields visualization and segmentation (2004) (44)
- Discontinuous Galerkin time stepping with local projection stabilization for transient convection–diffusion-reaction problems (2011) (43)
- Impulsive Stretching of a Surface in a Viscous Fluid (1997) (43)
- A phase field model for vesicle-substrate adhesion (2009) (42)
- Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity (1994) (41)
- A full multigrid method for nonlinear eigenvalue problems (2015) (41)
- On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors (1995) (41)
- A Fourier Spectral Moving Mesh Method for the Cahn-Hilliard Equation with Elasticity (2009) (39)
- Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility (2014) (39)
- Optimization-based Shrinking Dimer Method for Finding Transition States (2016) (39)
- A constrained string method and its numerical analysis (2009) (38)
- Nonlocal convection–diffusion problems and finite element approximations (2015) (38)
- Nonlocal convection–diffusion problems and finite element approximations (2015) (38)
- Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity (1998) (38)
- Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility (2012) (38)
- Model Reduction by Proper Orthogonal Decomposition Coupled With Centroidal Voronoi Tessellations (Keynote) (2002) (37)
- A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms (2000) (36)
- Dissipative flow and vortex shedding in the Painlevé boundary layer of a Bose-Einstein condensate. (2003) (36)
- A conservative nonlocal convection–diffusion model and asymptotically compatible finite difference discretization (2017) (36)
- Error estimates of the Markov finite approximation of the Frobenius-Perron operator (1992) (35)
- Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations (2006) (35)
- Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations (2004) (35)
- A full multigrid method for eigenvalue problems (2016) (35)
- Analysis of a nonlocal-in-time parabolic equation (2016) (34)
- Numerical simulations of the quantized vortices on a thin superconducting hollow sphere (2004) (34)
- Centroidal Voronoi Tessellation Based Proper Orthogonal Decomposition Analysis (2003) (34)
- Approximation and eigenvalue extrapolation of Stokes eigenvalue problem by nonconforming finite element methods (2009) (33)
- Reduced order modeling of complex systems (2003) (33)
- A Peridynamic Model of Fracture Mechanics with Bond-Breaking (2018) (33)
- Postprocessing and higher order convergence for the mixed finite element approximations of the Stokes eigenvalue problems (2009) (33)
- Incorporating diffuse-interface nuclei in phase-field simulations (2010) (33)
- Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling (2018) (32)
- STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES 1) (2004) (32)
- Adaptive finite element methods for elliptic equations over hierarchical T-meshes (2011) (31)
- Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals (2001) (31)
- Boundary recovery for three dimensional conforming Delaunay triangulation (2004) (31)
- Numerical simulation of vortex dynamics in Ginzburg-Landau-Schrödinger equation (2007) (31)
- The quasi-Laguerre iteration (1997) (31)
- Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications (2017) (31)
- Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems (2015) (30)
- Diffuse-interface description of strain-dominated morphology of critical nuclei in phase transformations (2008) (30)
- Asymptotic error expansion and Richardson extrapolation of eigenvalue approximations for second order elliptic problems by the mixed finite element method (2009) (30)
- High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes (2013) (30)
- Asymptotic expansions and extrapolations of eigenvalues for the stokes problem by mixed finite element methods (2008) (29)
- Cascadic multigrid methods for parabolic problems (2008) (29)
- On the consistency between nearest-neighbor peridynamic discretizations and discretized classical elasticity models (2016) (28)
- Spectral methods for weakly singular Volterra integral equations with pantograph delays (2013) (28)
- Multiscale modeling and analysis for materials simulation (2011) (28)
- Mesh and solver co‐adaptation in finite element methods for anisotropic problems (2005) (28)
- Coarsening Kinetics of a Two Phase Mixture with Highly Disparate Diffusion Mobility (2010) (28)
- ANALYSIS OF A MIXED FINITE ELEMENT METHOD FOR A PHASE FIELD BENDING ELASTICITY MODEL OF VESICLE (2006) (28)
- Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors (1993) (28)
- Analysis and Convergence of a Covolume Approximation of the Ginzburg--Landau Model of Superconductivity (1998) (27)
- A finite volume method on general surfaces and its error estimates (2009) (27)
- Using a machine learning approach to determine the space group of a structure from the atomic pair distribution function. (2019) (27)
- Collocation Methods for General Volterra Functional Integral Equations with Vanishing Delays (2011) (27)
- A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation (2021) (27)
- Simultaneous prediction of morphologies of a critical nucleus and an equilibrium precipitate in solids (2009) (27)
- Studies of a Ginzburg-Landau Model for d-Wave Superconductors (1999) (27)
- Constrained shrinking dimer dynamics for saddle point search with constraints (2012) (26)
- Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains (2016) (26)
- A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models (2017) (26)
- Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization (2017) (26)
- STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES (25)
- Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling (2017) (25)
- Integral approximations to classical diffusion and smoothed particle hydrodynamics (2015) (25)
- Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence (2001) (25)
- Discovery of Dynamics Using Linear Multistep Methods (2019) (25)
- Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem (2008) (25)
- Modeling and computation of random thermal fluctuations and material defects in the Ginzburg-Landau model for superconductivity (2002) (25)
- A new algorithm for the automation of phase diagram calculation (2006) (25)
- Phase field calculus, curvature-dependent energies, and vesicle membranes (2011) (24)
- Peridynamics, Fracture, and Nonlocal Continuum Models (2014) (24)
- Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains (2018) (24)
- Analysis of collocation solutions for a class of functional equations with vanishing delays (2011) (24)
- Lower Bounds of the Discretization for Piecewise Polynomials (2011) (24)
- Numerical integration of the Gibbs–Thomson equation for multicomponent systems (2012) (24)
- ANALYSIS OF A SCALAR PERIDYNAMIC MODEL WITH A SIGN CHANGING KERNEL (2013) (24)
- Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme (2008) (23)
- A MAXIMUM ENTROPY PRINCIPLE BASED CLOSURE METHOD FOR MACRO-MICRO MODELS OF POLYMERIC MATERIALS (2008) (22)
- Stochastic Training of Residual Networks: a Differential Equation Viewpoint (2018) (22)
- A Multilevel Correction Type of Adaptive Finite Element Method for Eigenvalue Problems (2012) (22)
- Critical Magnetic Field and Asymptotic Behavior of Superconducting Thin Films (2002) (22)
- A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods (2015) (22)
- Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction (2018) (22)
- Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models (2020) (22)
- The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation (2007) (22)
- A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games (2019) (21)
- Vortices in superconductors: modelling and computer simulations (1997) (21)
- Local Limits and Asymptotically Compatible Discretizations (2016) (21)
- Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem (2011) (21)
- An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials (2008) (21)
- Numerical studies of MacQueen's k-means algorithm for computing the centroidal Voronoi tessellations (2002) (21)
- Convergent Adaptive Finite Element Method Based on Centroidal Voronoi Tessellations and Superconvergence (2011) (21)
- Parameter-Free Time Adaptivity Based on Energy Evolution for the Cahn-Hilliard Equation (2016) (21)
- Automated discovery of fundamental variables hidden in experimental data (2022) (20)
- A multilevel correction adaptive finite element method for Kohn-Sham equation (2018) (20)
- DIFFUSE INTERFACE ENERGIES CAPTURING THE EULER NUMBER: RELAXATION AND RENOMALIZATION ∗ (2007) (20)
- Stochastic dynamics of Ginzburg-Landau vortices in superconductors (2001) (20)
- Scalable traffic stability analysis in mixed-autonomy using continuum models (2020) (20)
- Superconvergence of Discontinuous Galerkin Solutions for Delay Differential Equations of Pantograph Type (2011) (19)
- A MULTILEVEL CORRECTION TYPE OF ADAPTIVE FINITE ELEMENT METHOD FOR STEKLOV EIGENVALUE PROBLEMS (2012) (19)
- The bifurcation diagrams for the Ginzburg–Landau system of superconductivity (2001) (19)
- Guaranteed Eigenvalue Bounds for the Steklov Eigenvalue Problem (2018) (19)
- Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids (2008) (19)
- Stochastic representation of solution to nonlocal-in-time diffusion (2018) (19)
- Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations (2010) (19)
- Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling (2019) (19)
- Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods (2008) (18)
- Error Analysis of a Mixed Finite Element Method for the Molecular Beam Epitaxy Model (2015) (18)
- A non-cooperative meta-modeling game for automated third-party calibrating, validating, and falsifying constitutive laws with parallelized adversarial attacks (2020) (18)
- The hp Discontinuous Galerkin Method for Delay Differential Equations with Nonlinear Vanishing Delay (2013) (18)
- Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications (2019) (18)
- A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems (2017) (18)
- A posteriori error estimator for eigenvalue problems by mixed finite element method (2013) (18)
- A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration (2014) (18)
- Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions (2019) (18)
- A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension (2016) (17)
- Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow. (2006) (17)
- Nonlocal Wave Propagation in Unbounded Multi-Scale Media (2018) (17)
- A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels (2019) (17)
- Existence of Weak Solutions to Some Vortex Density Models (2003) (17)
- Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models (2016) (17)
- A Multilevel Correction Method for Interior Transmission Eigenvalue Problem (2015) (17)
- The Spectral Analysis of Frobenius Perron Operators (1994) (17)
- Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements (2018) (17)
- Visualizing ion diffusion in battery systems by fluorescence microscopy: A case study on the dissolution of LiMn2O4 (2018) (17)
- Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction (2018) (17)
- Robust a posteriori stress analysis for quadrature collocation approximations of nonlocal models via nonlocal gradients (2016) (17)
- Linear finite element superconvergence on simplicial meshes (2014) (17)
- A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods (2015) (16)
- Multiscale analysis of linear evolution equations with applications to nonlocal models for heterogeneous media (2016) (16)
- Recent results on lower bounds of eigenvalue problems by nonconforming finite element methods (2013) (16)
- Mesh Optimization Based on Centroidal Voronoi Tessellation (2004) (16)
- Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem (2011) (16)
- Analysis and finite element approximation of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows (1995) (16)
- Asymptotically compatible schemes for space-time nonlocal diffusion equations (2017) (16)
- Multilevel correction adaptive finite element method for semilinear elliptic equation (2015) (15)
- Numerical Solution of the Nonlocal Diffusion Equation on the Real Line (2017) (15)
- Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems (1996) (15)
- Finite range jump processes and volume–constrained diffusion problems (2014) (15)
- Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces (2008) (15)
- Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations (2018) (14)
- A preliminary investigation of the pseudo-spectral method numerical solution of the Perkins instability equations in the homogeneous TEC case (2005) (14)
- Evaluating microstructural parameters of three-dimensional grains generated by phase-field simulation or other voxel-based techniques (2012) (14)
- Recent Progress in Mathematical and Computational Aspects of Peridynamics (2018) (14)
- An efficient explicit/implicit domain decomposition method for convection‐diffusion equations (2009) (14)
- Nonconforming Finite Element Method for the Transmission Eigenvalue Problem (2017) (14)
- The critical temperature and gap solution in the Bardeen-Cooper-Schrieffer theory of superconductivity (1993) (13)
- Asymptotically Compatible Schemes for Peridynamics Based on Numerical Quadratures (2014) (13)
- Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach (2019) (13)
- Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues (2019) (13)
- Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors (1993) (13)
- Simplified models of superconducting-normal-superconducting junctions and their numerical approximations (1999) (12)
- Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current (2010) (12)
- A multigrid method for eigenvalue problems based on shifted-inverse power technique (2015) (12)
- Robust Discretization of Nonlocal Models Related to Peridynamics (2015) (12)
- AN INVITATION TO NONLOCAL MODELING, ANALYSIS AND COMPUTATION (2019) (12)
- Adhesion of multicomponent vesicle membranes. (2009) (12)
- Computable Error Estimates for Ground State Solution of Bose–Einstein Condensates (2016) (12)
- Stability of a Nonlocal Traffic Flow Model for Connected Vehicles (2020) (12)
- Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems (2018) (11)
- A Multilevel Correction Scheme for Nonsymmetric Eigenvalue Problems by Finite Element Methods (2015) (11)
- A posterior error estimator and lower bound of a nonconforming finite element method (2014) (11)
- A Cascadic Multigrid Method for Eigenvalue Problem (2014) (11)
- Local and Parallel Finite Element Algorithm Based On Multilevel Discretization for Eigenvalue Problem (2014) (11)
- ADAPTIVE CVT-BASED REDUCED-ORDER MODELING OF BURGERS EQUATION (2009) (11)
- A multilevel finite element method for Fredholm integral eigenvalue problems (2015) (11)
- Nonlocal Calculus of Variations and Well-Posedness of Peridynamics (2016) (11)
- On Ginzburg–Landau Vortices of Superconducting Thin Films (2006) (11)
- Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain (2017) (11)
- A spectral method for nonlocal diffusion operators on the sphere (2018) (11)
- The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation (2021) (10)
- Limiting Models for Josephson Junctions and Superconducting Weak Links (2002) (10)
- Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach (2020) (10)
- A Domain Decomposition Method for Parabolic Equations Based on Finite Elements (1990) (10)
- Mathematics of Smoothed Particle Hydrodynamics, Part I: a Nonlocal Stokes Equation (2018) (10)
- Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems (2013) (10)
- THE GLOBAL MINIMIZERS AND VORTEX SOLUTIONS TO A GINZBURG-LANDAU MODEL OF SUPERCONDUCTING FILMS (2002) (9)
- A Type of Multigrid Method for Eigenvalue Problem (2011) (9)
- APPLICATION OF A NONLOCAL VECTOR CALCULUS TO THE ANALYSIS OF LINEAR PERIDYNAMIC MATERIALS. (2011) (9)
- Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping (2011) (9)
- A generalization of the three-dimensional MacPherson-Srolovitz formula (2009) (9)
- Application of Population Dynamics to Study Heterotypic Cell Aggregations in the Near-Wall Region of a Shear Flow (2010) (9)
- Numerical Solution of the Three-Dimensional Ginzburg--Landau Models Using Artificial Boundary (1999) (9)
- A Finite Element Domain Decomposition Method for Parabolic (1990) (9)
- Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem (2017) (9)
- Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem (2015) (9)
- A Class of High Order Nonlocal Operators (2016) (9)
- A Multilevel Correction Method for Optimal Controls of Elliptic Equations (2014) (9)
- On uniform second order nonlocal approximations to linear two-point boundary value problems (2019) (9)
- Analysis and computation of a mean-field model for superconductivity (1999) (9)
- Tesselation and Clustering by Mixture Models and Their Parallel Implementations (2004) (9)
- An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates (2017) (8)
- A VARIATIONAL CONSTRUCTION OF ANISOTROPIC MOBILITY IN PHASE-FIELD SIMULATION (2005) (8)
- A multilevel correction method for Stokes eigenvalue problems and its applications (2015) (8)
- A Superconvergence result for mixed finite element approximations of the eigenvalue problem (2012) (8)
- A Parallel Augmented Subspace Method for Eigenvalue Problems (2019) (8)
- Diffuse interface model of multicomponent vesicle adhesion and fusion. (2011) (8)
- Diverse Vortex Dynamics in Superfluids (8)
- Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models (2019) (8)
- A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem (2014) (7)
- Analysis of a Stochastic Implicit Interface Model for an Immersed Elastic Surface in a Fluctuating Fluid (2011) (7)
- Fully Computable Error Bounds for Eigenvalue Problem (2016) (7)
- A parallel generalized conjugate gradient method for large scale eigenvalue problems (2020) (7)
- Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line (2020) (7)
- A Multigrid Method for Nonlinear Eigenvalue Problems (2014) (7)
- Finding Critical Nuclei in Phase Transformations by Shrinking Dimer Dynamics and its Variants (2014) (7)
- Nonlocal criteria for compactness in the space of $L^{p}$ vector fields (2018) (7)
- Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices (2000) (7)
- On Some Probability Density Function Based Moment Closure Approximations of Micro–Macro Models for Viscoelastic Polymeric Fluids (2010) (7)
- Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness (2020) (7)
- Computable Error Estimates for a Nonsymmetric Eigenvalue Problem (2017) (7)
- On balanced moving mesh methods (2014) (7)
- Time-dependent Ginzburg-Landau models for superconductivity (1995) (7)
- Multiscale analysis of linearized peridynamics (2015) (6)
- Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems (2017) (6)
- A New Phase-Field Approach to Variational Implicit Solvation of Charged Molecules with the Coulomb-Field Approximation (2017) (6)
- Discovering State Variables Hidden in Experimental Data (2021) (6)
- Nonlocal Trace Spaces and Extension Results for Nonlocal Calculus (2021) (6)
- Band-gap characteristics of elastic metamaterial plate with axial rod core by the finite element and spectral element hybrid method (2021) (6)
- Ideal Point Distributions , Best Mode Selections and Optimal Spatial Partitions via Centroidal Voronoi Tessellations ∗ (2005) (6)
- Uniform Convergence of a Multilevel Energy-based Quantization Scheme (2005) (6)
- Metric tensors for the interpolation error and its gradient in Lp norm (2012) (6)
- On the stochastic immersed boundary method with an implicit interface formulation (2010) (6)
- AN UPWINDING MIXED FINITE ELEMENT METHOD FOR A MEAN FIELD MODEL OF SUPERCONDUCTING VORTICES (2000) (5)
- Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization (2021) (5)
- Nonlocal diffusion models with consistent local and fractional limits (2022) (5)
- Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes (2014) (5)
- Algorithm for distance list extraction from pair distribution functions. (2019) (5)
- Generalized local and nonlocal master equations for some stochastic processes (2016) (5)
- Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem (2014) (5)
- The weak Galerkin method for eigenvalue problems (2015) (5)
- A non-local vector calculus,non-local volume-constrained problems,and non-local balance laws (2011) (5)
- General neck condition for the limit shape of budding vesicles. (2015) (4)
- Applications of Moving Mesh Methods to the Fourier Spectral Approximations of Phase-Field Equations (2008) (4)
- Calculating corner singularities by boundary integral equations. (2017) (4)
- Quantized vortices in BEC and superconductors (2007) (4)
- A low dispersion, high accuracy finite element method for first order hyperbolic systems in several space variables (1988) (4)
- Centroidal Voronoi Tessellation Algorithms for Image Processing (2005) (4)
- A Multigrid Method Based On Shifted-Inverse Power Technique for Eigenvalue Problems (2014) (4)
- Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method (2008) (4)
- The graph limit of the minimizer of the Onsager-Machlup functional and its computation (2020) (4)
- Tracking multi-phase boundaries using an integration-based approach (2011) (4)
- SUPERCONVERGENCE OF GALERKIN SOLUTIONS FOR HAMMERSTEIN EQUATIONS (2009) (4)
- Numerical Algorithms of the Lawrence-Doniach Model for Layered Superconductors and their Parallel Implementation (1999) (4)
- A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations (2012) (4)
- FINITE ELEMENT METHODS WITH MATCHING AND NONMATCHING MESHES FOR MAXWELL EQUATIONS WITH (2000) (3)
- From peridynamics to stochastic jump process: Illustrations of nonlocal balance laws and nonlocal calculus framework (2015) (3)
- Data-driven compressive sensing and applications in uncertainty quantification (2018) (3)
- ASYMPTOTIC ANALYSIS OF A DIFFUSE INTERFACE RELAXATION TO A NONLOCAL OPTIMAL PARTITION PROBLEM (2010) (3)
- Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films (2019) (3)
- A cascadic multigrid method for nonsymmetric eigenvalue problem (2019) (3)
- A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems (2019) (3)
- On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers (2021) (3)
- Weak Solutions for the Cahn–Hilliard Equation with Degenerate Mobility (2015) (3)
- Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems (2021) (3)
- Optimization of Subdivision Invariant Tetrahedra (2015) (2)
- Analyzing bowtie structures with sharp tips by a vertical mode expansion method. (2018) (2)
- NUMERICAL COMPUTATION OF QUANTIZED VORTICES IN THE BOSE-EINSTEIN CONDENSATE (2002) (2)
- On some PDF based moment closure approximations of micro-macro models for viscoelastic polymeric fluids (2009) (2)
- On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods (2021) (2)
- Physics of Many-body Nonreciprocal Model: From Non-Hermitian Skin effect to Quantum Maxwell’s Pressure-Demon Effect (2021) (2)
- A Multilevel Newton’s Method for Eigenvalue Problems (2018) (2)
- Numerical modelling of effects of ultrasound-induced acoustic streaming on hydrodynamics in a confined impinging jet reactor using a non-linear model based on local velocity fluctuation (2022) (2)
- A nonlocal Stokes system with volume constraints (2022) (2)
- A fast two-stage algorithm for non-negative matrix factorization in streaming data (2021) (2)
- Computational Investigation of Flow Control Methods in the Impeller Rear Cavity (2020) (2)
- Quantized Vortices in Superfluids — A Mathematical and Computational Study (2007) (2)
- Error estimates for approximations of a gradient dynamics for phase field elastic bending energy of vesicle membrane deformation (2014) (2)
- L p error estimates and superconvergence for finite element approximations for nonlinear parabolic problems (2000) (2)
- Preface to the Focused Issue on Fractional Derivatives and General Nonlocal Models (2019) (2)
- Superconvergence Analysis of Gradient Recovery Method for TM Model of Electromagnetic Scattering in the Cavity (2017) (2)
- An Algebraic Multigrid Method for Eigenvalue Problems in Some Different Cases (2015) (2)
- Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process (2022) (2)
- RICHARDSON EXTRAPOLATION FOR EIGENVALUE OF DISCRETE SPECTRAL PROBLEM ON GENERAL MESH (2007) (2)
- Tensor Neural Network and Its Numerical Integration (2022) (2)
- Unsteady Numerical Investigation on Film Cooling Characteristics of the Trailing Edge Cutback With Upstream Cylinder Hole (2020) (2)
- On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods (2021) (2)
- Solving Schr\"{o}dinger Equation Using Tensor Neural Network (2022) (2)
- An Eigenwise Parallel Augmented Subspace Method for Eigenvalue Problems (2019) (2)
- A modified limited memory steepest descent method motivated by an inexact super-linear convergence rate analysis (2021) (2)
- Placement for Wafer-Scale Deep Learning Accelerator (2021) (1)
- Phase‐field modeling and simulations of multicomponent cell membranes (2007) (1)
- Optimization-based methods for multidisciplinary simulation and optimization (2005) (1)
- Asymptotic analysis ofa diffuse interface relaxation to a nonlocal optimal partitionproblem (2010) (1)
- On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation (2021) (1)
- A variance-estimation-based stopping rule for symbolic dynamic filtering (2013) (1)
- A Nonnested Augmented Subspace Method for Eigenvalue Problems with Curved Interfaces (2020) (1)
- Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection–Diffusion Equations (2018) (1)
- Asymptotically Compatible Schemes for Stochastic Homogenization (2018) (1)
- Some perspective on the Large Scale Scientific Computation Research (2004) (1)
- Multilevel and adaptive methods for some nonlinear optimization problems (2005) (1)
- Computing the lower and upper bounds of Laplace eigenvalue problem: by combining conforming and nonconforming finite element methods (2012) (1)
- An Algebraic Multigrid Method for Eigenvalue Problems (2015) (1)
- A full multigrid method for semilinear elliptic equation (2016) (1)
- EXTRAPOLATION OF THE FINITE ELEMENT METHOD ON GENERAL MESHES (2012) (1)
- GCGE: A Package for Solving Large Scale Eigenvalue Problems by Parallel Block Damping Inverse Power Method (2021) (1)
- Physics of PT-Symmetric Quantum Systems at Finite Temperature (2021) (1)
- A Physics-Informed Deep Learning Paradigm for Traffic State Estimation and Fundamental Diagram Discovery (2021) (1)
- Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model (2023) (1)
- Nonlocal-in-time dynamics and crossover of diffusive regimes (2020) (1)
- On the variational limit of some nonlocal functionals (2007) (1)
- Minimizing optimal transport for functions with fixed-size nodal sets (2021) (1)
- A posteriori error estimators suitable for moving finite element methods under anisotropic meshes (2011) (1)
- Nonlocal boundary-value problems with local boundary conditions (2023) (1)
- A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property (2011) (1)
- Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions (2020) (1)
- Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem (2014) (1)
- On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation (2021) (1)
- Analysis of the Volume-Constrained Peridynamic Navier Equation of Linear Elasticity (2012) (1)
- Retrieving topological information from the phase‐field description of geometric evolution (2007) (0)
- ANU volume 29 Cover and Front matter (2020) (0)
- A full multigrid method for semilinear elliptic equation (2017) (0)
- New metric tensors for moving mesh method (2011) (0)
- A type of multi-level correction scheme for eigenvalue problems by nonconforming finite element methods (2015) (0)
- From SIAM News , Volume 47 , Number 3 , April 2014 Peridynamics , Fracture , and Nonlocal Continuum Models (2014) (0)
- A Class of High Order Nonlocal Operators (2016) (0)
- Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems (2017) (0)
- Explore the symmetry encoding in atomic pair distribution function (PDF) with convolutional neural network (CNN) (2019) (0)
- Modulated Fourier expansion : origin , theory , and applications (2010) (0)
- A Multilevel Newton Iteration Method for Eigenvalue Problems (2015) (0)
- Censored Fractional Derivative (2019) (0)
- Adaptive algorithms for phase field models of some interface problems (2007) (0)
- Multilevel correction adaptive finite element method for semilinear elliptic equation (2015) (0)
- An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose–Einstein Condensates (2023) (0)
- A Space-time Nonlocal Traffic Flow Model: Relaxation Representation and Local Limit (2022) (0)
- Erratum: Asymptotically Compatible Schemes for Stochastic Homogenization (2018) (0)
- Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations (2019) (0)
- On the Structure of Hard Elastic Polypropylene Fibre (1989) (0)
- Design and Implementation of Compensated Gram-Schmidt Algorithm (2022) (0)
- Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains (2016) (0)
- A Global, Multi-Resolution Approach to Regional Ocean Modeling (2013) (0)
- A Multigrid Method for Semilinear Eigenvalue Problems (2014) (0)
- Nonlocal Constrained Value Problems for a Linear Peridynamic Navier Equation (2013) (0)
- A Multilevel Energy-based Quantization 1Scheme (2007) (0)
- Catalytic base-controlled regiodivergent heteronucleophilic hydrofunctionalization of β,γ-unsaturated amides. (2021) (0)
- An Efficient Adaptive Finite Element Method for Eigenvalue Problems (2022) (0)
- A Multilevel Newton’s Method for Eigenvalue Problems (2018) (0)
- Degenerate ground state and quantum tunneling in rotating condensates (2012) (0)
- A variance-estimation-based stopping rule for symbolic dynamic filtering (2011) (0)
- A Small Note About Lower Bound of Eigenvalues (2016) (0)
- Peridynamic Balance Laws. (2013) (0)
- Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection–Diffusion Equations (2017) (0)
- Spectral methods for weakly singular Volterra integral equations with pantograph delays (2013) (0)
- Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations (2014) (0)
- A Multigrid Method for Helmholtz Transmission Eigenvalue Problems (2013) (0)
- Sharp Error Bounds for Piecewise Polynomial Approximation: Revisit and Application to Elliptic PDE Eigenvalue Computation (2015) (0)
- A New Subspace Iteration Algorithm for Solving Generalized Eigenvalue Problems (2022) (0)
- Positive semidefinite penalty method for quadratically constrained quadratic programming (2020) (0)
- Analysis of continuous collocation solutions for nonlinear functional equations with vanishing delays (2019) (0)
- Phase-field Prediction of Critical Nucleus Morphology in Solids (2008) (0)
- A full multigrid method for nonlinear eigenvalue problems (2016) (0)
- Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements (2018) (0)
- Postprocessing and Higher Order Convergence of Stabilized Finite Element Discretizations of the Stokes Eigenvalue Problem (2011) (0)
- Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem (2018) (0)
- A Cascadic Multigrid Scheme for Eigenvalue Problem (2014) (0)
- Benchmark Study of RBHT Experiment for the Effect of Spacer Grids on Reflood Heat Transfer With LOCUST Code (2021) (0)
- The Katchalski–Lewis transversal problem for regular polygons (2018) (0)
- Enhanced Error Estimates for Augmented Subspace Method (2021) (0)
- Non-Boltzmann/Gibbs Distribution for Non-Hermitian Steady States at Finite Temperature (2021) (0)
- Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing (2023) (0)
- Solutions of singular semilinear elliptic equations with critical weighted Hardy–Sobolev exponents (2014) (0)
- The graph limit of the minimizer of the Onsager-Machlup functional and its computation (2020) (0)
- Comparison of transport scattering and single‐particle relaxation times in modulation‐doped heterostructures (1994) (0)
- The average-distance problem with an Euler elastica penalization (2022) (0)
- Special Session 22 : Modeling and Analysis of Multi-Phase Lipid Bilayer Membranes (2008) (0)
- A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems (2019) (0)
- Mathematical and Numerical Analyses of Peridynamics for Multiscale Materials Modeling (2014) (0)
- A cooperative game for automated learning of elasto-plasticity knowledge graphs and models with AI-guided experimentation (2019) (0)
- Nonconforming finite element approximations of the Steklov eigenvalue problem and its lower bound approximations (2013) (0)
- A New AMS Journal Launching in 2021 (2021) (0)
- Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization (2013) (0)
- β‐catenin Inhibits NF‐κB activity in Regulation hiNOS Expression in Colon Cancer Cells (2006) (0)
- Numerical investigation of blowing ratio, density ratio and axial position of film holes on the vane endwall film cooling effectiveness with upstream step (2021) (0)
- REVIEW ARTICLE Advances in Studies and Applications of Centroidal (2010) (0)
- The Average Distance Problem with Perimeter-to-Area Ratio Penalization (2022) (0)
- Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films (2020) (0)
- Novel homozygous variant in the PDZD7 gene in a family with nonsyndromic sensorineural hearing loss (2022) (0)
- Local a Priori Estimate on the General Scale Subdomains (2014) (0)
- A Peridynamic Model of Fracture Mechanics with Bond-Breaking (2017) (0)
- Censored stable subordinators and fractional derivatives (2019) (0)
- $L^{p}$ compactness criteria with an application to variational convergence of some nonlocal energy functionals (2018) (0)
- Moment closure for FENE models of complex fluids (2007) (0)
- Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes (2013) (0)
- A multigrid method for eigenvalue problems based on shifted-inverse power technique (2015) (0)
- A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration (2021) (0)
- II Solving the Ginzburg-Landau equations by finite-element methods (2011) (0)
- A PARALLEL METHOD FOR POPULATION BALANCE EQUATIONS BASED ON THE METHOD OF CHARACTERISTICS (2012) (0)
- Acceleration of two-grid stabilized mixed finite element method for the Stokes eigenvalue problem (2014) (0)
- Applications of Mathematics (2015) (0)
- Bifurcation and fission in the liquid drop model: a phase-field approach (2023) (0)
- N A ] 1 8 A pr 2 01 6 Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates ∗ (2018) (0)
- A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations (2011) (0)
- An energy-stable scheme for a 2D simple fluid-particle interaction problem (2021) (0)
- Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems (2018) (0)
- New metric tensors for anisotropic mesh generation (2011) (0)
- Global Existence and Uniqueness of Solutions of The Time-Dependent Ginzburg-Landau Model for Superconductivity Communicated (2011) (0)
- A posterior error analysis for the nonconforming discretization of Stokes eigenvalue problem (2014) (0)
- A Multilevel Correction Method for Interior Transmission Eigenvalue Problem (2017) (0)
- ANU volume 29 Cover and Back matter (2020) (0)
- SOME PROGRESS ON SUPERCONVERGENCE FOR MIXED FINITE ELEMENT METHODS (2008) (0)
- Convergence Analysis of Shift-Inverse Method with Richardson Iteration For Eigenvalue Problem (2018) (0)
- Driving and Routing Game for Autonomous Vehicles on a Network (2020) (0)
- EXTRAPOLATION FOR THE SECOND ORDER ELLIPTIC PROBLEMS BY MIXED FINITE ELEMENT METHODS IN THREE DIMENSIONS (2008) (0)
- A Nonnested Augmented Subspace Method for Elliptic Eigenvalue Problems with Curved Interfaces (2023) (0)
- Efficient variational phase field method for phase transitions in ferroelectric thin films (2020) (0)
- Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions (2022) (0)
- Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow (2020) (0)
- A posteriori error estimator for eigenvalue problems by mixed finite element method (2013) (0)
- High-Order Convergence of Spectral Deferred Correction Methods on General Quadrature Nodes (2012) (0)
- An Empirical Study of Scalable Domain Decomposition Methods for a 2-D Parabolic Equation Solver (1993) (0)
- Anisotropic meshes and stabilized parameters for the stabilized finite element methods (2016) (0)
- Revealing Excited States of Rotational Bose-Einstein Condensates (2023) (0)
- Ginzburg-Landau type models for superconductivity (1995) (0)
- A Cascadic Multigrid Method for GPE Problem (2015) (0)
- Asymptotic Expansions and Extrapolation of Approximate Eigenvalues for Second Order Elliptic Problems by Mixed Finite Element Methods (2006) (0)
- Energy Error Estimates of Subspace Method and Multigrid Algorithm for Eigenvalue Problems (2017) (0)
- SUPERCONVERGENCE OF THE LEAST-SQUARES MIXED FINITE ELEMENT APPROXIMATIONS FOR THE SECOND ORDER ELLIPTIC PROBLEMS (2007) (0)
- Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array (2023) (0)
- Analyses, algorithms, and computations for models of high-temperature superconductivity. Final report (1997) (0)
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