Search Results

• Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

  Tianjun Wang, Benyu Guo, Wei Li

  2021-07-01

  DOI:10.4208/jcm.1206-m3891

  36267 3904 pp. 579-600

• A Numerical Study for the Performance of the WENO Schemes Based on Different Numerical Fluxes for the Shallow Water Equations

  Changna Lu, Jianxian Qiu, Ruyun Wang

  2021-07-01

  DOI:10.4208/jcm.1001-m3122

  35982 3800 pp. 807-825

• The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems

  Liping He, Shunkai Sun

  2004-10-02

  34055 3761 pp. 753-768

• A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

  Xiao-Nan Wu, You-Lan Zhu

  2002-02-02

  33420 3972 pp. 1-14

• High Accuracy for Mixes Finite Element Methods in Raviart-Thomas Element

  Q. Lin & J. H. Pan

  1996-04-02

  33210 3328 pp. 175-182

• Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method

  Quan-Sheng Xu & You-Lan Zhu

  1985-03-01

  34713 4050 pp. 8-18

• Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

  Juan Li, Xuping Wang

  2026-02-15

  DOI:10.4208/jcm.2410-m2024-0001

  2559 251 pp. 165-190

• A Multiple-Invariants Preserving Scheme for Modified Two-Component Euler-Poincaré Equations

  Boya Zhou, Ruimin Gao, Qifeng Zhang

  2026-03-02

  DOI:10.4208/jcm.2509-m2024-0222

  96 67

• Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  DOI:10.4208/jcm.2509-m2024-0296

  215 155

• A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

  Jingrun Chen, Shi Jin, Liyao Lyu

  2023-11-08

  DOI:10.4208/jcm.2205-m2021-0277

  29727 2640 pp. 1281-1304

• Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

  Fabian Hornung, Arnulf Jentzen, Diyora Salimova

  2025-07-12

  DOI:10.4208/cm.2308-m2021-0266

  6344 555 pp. 918-975

• A Parallel Algorithm for the Solution of Large-Scale Nonconforming Fluid-Structure Interaction Problems in Hemodynamics

  Davide Forti, A. Quarteroni, Simone Deparis

  2018-08-22

  DOI:10.4208/jcm.1702-m2016-0630

  37846 4182 pp. 363-380 Open Access

• Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

  Xiaobing Feng, Thomas Lewis

  2018-08-22

  DOI:10.4208/jcm.1401-m4357

  36980 4938 pp. 107-135 Open Access

• Highly Oscillatory Diffusion-Type Equations

  Sevda Ueskueplue Altinbasak, Marissa Condon, Alfredo Deano, Arieh Iserles

  2021-07-01

  DOI:10.4208/jcm.1307-m3955

  36893 3989 pp. 549-572

• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

  Xiufang Feng, Zhilin Li, Zhonghua Qiao

  2018-08-22

  DOI:10.4208/jcm.1010-m3204

  36508 4431 pp. 324-340 Open Access

• Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

  Xia Ji, Wei Cai, Pingwen Zhang

  2018-08-07

  32393 3688 pp. 347-364

• Splitting Extrapolations for Solving Boundary Integral Equations of Linear Elasticity Dirichlet Problems on Polygons by Mechanical Quadrature Methods

  J Huang, T Lu

  2018-08-15

  33264 4023 pp. 9-18

• The Relaxing Schemes for Hamilton-Jacobi Equations

  Hua-Zhong Tang, Hua-Mu Wu

  2001-06-02

  33162 3567 pp. 231-240

• MUSCL Type Schemes and Discrete Entropy Conditions

  N. Zhao & H. M. Wu

  1997-02-02

  33307 3848 pp. 72-80

• A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2026-04-15

  DOI:10.4208/jcm.2412-m2024-0141

  3205 199 pp. 394-426

• A DRS-Based Path-Following Algorithm for Linear Programming

  Yiyang Liu, Haoyang Liu, Hantao Nie, Zaiwen Wen

  2025-09-28

  DOI:10.4208/jcm.2508-m2023-0134

  4982 455 pp. 1141-1168

• High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

  Yupeng Ren, Yulong Xing, Jianxian Qiu

  2023-11-08

  DOI:10.4208/jcm.2112-m2020-0283

  27705 2876 pp. 1064-1092

• Monotone Approximation to a System Without Monotone Nonlinearity

  Yuan-Ming Wang, Ben-Yu Guo

  2000-04-02

  31213 3387 pp. 207-224

• Two Novel Classes of Arbitrary High-Order Structure-Preserving Algorithms for Canonical Hamiltonian Systems

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2023-04-25

  DOI:10.4208/jcm.2108-m2021-0076

  30960 2942 pp. 395-414

• High Accuracy Analysis of the Wilson Element

  P Luo, Q Lin

  1999-04-02

  32756 3426 pp. 113-124

• Crank-Nicolson Galerkin Approximations for Logarithmic Klein-Gordon Equation

  Fang Chen, Meng Li, Yanmin Zhao

  2024-11-21

  DOI:10.4208/jcm.2312-m2023-0185

  16295 1463 pp. 641-672

• A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks

  Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright

  2024-01-16

  DOI:10.4208/jcm.2204-m2021-0311

  25935 2186 pp. 570-596