Search Results

• A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations

  Eskil Hansen & Erik Henningsson

  2020-07-31

  40290 3272 Pages:1302-1316

• Using an ILU/Deflation Preconditioner for Simulation of a PEM Fuel Cell Cathode Catalyst Layer

  Kyle J. Lange, Pang-Chieh Sui & Ned Djilali

  2013-09-05

  40183 3910 Pages:537-573

• New Energy-Conserved Identities and Super-Convergence of the Symmetric EC-S-FDTD Scheme for Maxwell's Equations in 2D

  Liping Gao & Dong Liang

  2012-11-01

  39171 4188 Pages:1673-1696

• Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

  Tao Tang & Tao Zhou

  2010-08-01

  40128 4560 Pages:226-248

• Derivative-Based Finite-Volume MR-HWENO Scheme for Steady-State Problems

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2024-10-29

  138 59 Pages:877-907

• An Adaptive Polygonal Finite Volume Element Method Based on the Mean Value Coordinates for Anisotropic Diffusion Problems

  Yanlong Zhang, Jiming Wu

  2025-09-02

  358 55 Pages:783-809

• Second-Order Linear Stabilized Semi-Implicit Crank-Nicolson Scheme for the Cahn-Hilliard Model with Dynamic Boundary Conditions

  Xiangjun Meng, Xuelian Bao, Zhengru Zhang

  2025-01-22

  194 143 Pages:137-170

• Newton’s Method and Its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods

  Jianguo Huang, Hui Peng, Haohao Wu

  2025-01-22

  187 97 Pages:30-60

• $L_2$ Convergence of the Lattice Boltzmann Method for One Dimensional Convection-Diffusion-Reaction Equations

  Michael Junk & Zhaoxia Yang

  2018-04-02

  41122 3322 Pages:1225-1245

• An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

  Laiping Zhang, Ming Li, Wei Liu & Xin He

  2018-04-02

  42575 4381 Pages:287-316

• Numerical Approximation of a Compressible Multiphase System

  Remi Abgrall & Harish Kumar

  2014-05-05

  42858 3999 Pages:1237-1265

• Galerkin Spectral Method Applied to the Chemical Master Equation

  Stefan Engblom

  2009-05-01

  38667 4053 Pages:871-896

• A Penalty-Free or Penalty-Factor-Free DG Method with a Locally Reconstructed Curl Operator for the Maxwell Eigenproblem

  Zhijie Du, Huoyuan Duan, Duowei Zhu

  2025-08-23

  5938 392 Pages:887-922

• Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5012 494 Pages:74-108

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28157 1838 Pages:1309-1326

• A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

  Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

  2024-06-14

  36587 1889 Pages:1155-1193

• Towards the Efficient Calculation of Quantity of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

  Jingfeng Wang, Guanghui Hu

  2024-04-10

  24474 2147 Pages:579-608 Open-access

• Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

  Wenju Liu, Yanjiao Zhou, Zhiyue Zhang

  2024-03-13

  26355 2190 Pages:313-368

• Domain Decomposition Methods for Diffusion Problems with Discontinuous Coefficients Revisited

  Xuyang Na, Xuejun Xu

  2024-01-31

  28459 2549 Pages:212-238

• Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

  Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun

  2023-10-07

  34108 2749 Pages:837-868

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33585 3269 Pages:173-207

• Adaptive Ensemble Kalman Inversion with Statistical Linearization

  Yanyan Wang, Qian Li, Liang Yan

  2023-06-06

  41165 3004 Pages:1357-1380

• The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

  Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura

  2023-04-28

  32547 3098 Pages:733-763 Open-access

• A Weak Galerkin Mixed Finite Element Method for Second Order Elliptic Equations on 2D Curved Domains

  Yi Liu, Wenbin Chen, Yanqiu Wang

  2022-10-28

  46295 3261 Pages:1094-1128

• A New Artificial Neural Network Method for Solving Schrödinger Equations on Unbounded Domains

  Joshua P. Wilson, Weizhong Dai, Aniruddha Bora, Jacob C. Boyt

  2022-10-28

  47343 3461 Pages:1039-1060

• A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

  Yong Yang, Wenrui Hao, Yong-Tao Zhang

  2022-05-06

  45461 3223 Pages:1402-1433

• A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

  Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang

  2022-03-30

  51825 3084 Pages:1272-1295