Search Results

• High-Order BDFk Parametric Finite Element Methods for Anisotropic Surface Diffusion Flows and Applications in Solid-State Dewetting

  Lechuan Gu, Yihang Guo, Meng Li

  2025-11-20

  177 15 Pages:477-504

• High-Order Operator-Compensation Schemes with Mass and Energy Conservation for the Multi-Dimensional Zakharov System

  Yanjing Li, Xianggui Li, Dongying Hua, Yongyong Cai

  2025-10-14

  4462 96 Pages:105-128

• High-Order Multi-Resolution WENO Schemes with Lax-Wendroff Method for Fractional Differential Equations

  Yan Zhang, Liang Li, Jun Zhu

  2023-04-25

  30143 2773 Pages:320-339

• A High Order Well-Balanced Finite Volume WENO Scheme for a Blood Flow Model in Arteries

  Zhonghua Yao, Gang Li & Jinmei Gao

  2021-07-02

  37961 5059 Pages:852-866 Open-access

• A Fifth-Order Combined Compact Difference Scheme for Stokes Flow on Polar Geometries

  Dongdong He & Kejia Pan

  2021-07-02

  37695 3469 Pages:714-727

• A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics

  Kailiang Wu, Zhicheng Yang & Huazhong Tang

  2018-02-09

  39116 4529 Pages:95-131

• High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamic Equations under Gravitational Fields

  Zhen Gao & Guanghui Hu

  2021-07-02

  40927 3579 Pages:697-713

• A Fully Decoupled Linear Second-Order Energy Stable Numerical Scheme for the Moving Contact Line Problem

  Min Gao, Yi Shi

  2025-11-14

  7480 135 Pages:365-387

• A Hybrid Neural-Network and MAC Scheme for Stokes Interface Problems

  Che-Chia Chang, Chen-Yang Dai, Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai

  2024-06-13

  25435 2170 Pages:490-506

• An Adaptive Non-Intrusive Multi-Fidelity Reduced Basis Method for Parameterized Partial Differential Equations

  Yuanhong Chen, Xiang Sun, Yifan Lin, Zhen Gao

  2023-04-25

  29764 2755 Pages:398-419

• A Relaxed Decoupled Second-Order Energy-Stable Scheme for the Binary Phase-Field Crystal Model

  Xin Zhang, Junxiang Yang, Zhijun Tan

  2025-01-07

  12588 1203 Pages:344-372

• A New Second-Order One-Step Scheme for Solving Decoupled FBSDES and Optimal Error Estimates

  Yang Li, Jie Yang, Weidong Zhao

  2020-04-01

  42264 3170 Pages:354-380

• A Fourth-Order Compact Finite Difference Scheme for Higher-Order PDE-Based Image Registration

  Sopida Jewprasert, Noppadol Chumchob & Chantana Chantrapornchai

  2018-02-09

  36205 3296 Pages:361-386

• Energy Stable Splitting Schemes for Maxwell’s Equations in Lorentz Media

  Puttha Sakkaplangkul

  2025-05-19

  8049 117 Pages:45-71

• A Local Discontinuous Galerkin Method for Time-Fractional Burgers Equations

  Wenping Yuan, Yanping Chen, Yunqing Huang

  2020-08-15

  50482 3178 Pages:818-837

• An Efficient Newton Multiscale Multigrid Method for 2D Semilinear Poisson Equations

  Ming Li, Zhoushun Zheng, Kejia Pan, Xiaoqiang Yue

  2020-06-12

  42808 3105 Pages:620-634

• An Energy Stable TFPM-Based Petrov-Galerkin Scheme for Solving the Allen-Cahn Equation

  Yueran Wang, Wenli Yang, Zhongyi Huang

  2025-11-14

  7457 129 Pages:427-456

• A High-Order Arbitrary Lagrangian-Eulerian Oscillation-Free Discontinuous Galerkin Scheme for One-Dimensional Compressible Multi-Material Flows

  Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing

  2025-06-06

  5421 514 Pages:520-539

• Postprocessing-Based a Posteriori Error Estimation for Spectral Galerkin Approximations of Fourth-Order Boundary Value Problems

  Zhe Li, Tao Sun, Lijun Yi

  2025-01-07

  12664 1289 Pages:314-343

• An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations

  Pinxia Wu, Kejia Pan, Weiwei Ling, Dongdong He

  2023-01-04

  40735 3715 Pages:119-139

• High-Order Non-Conservative Simulation of Hyperbolic Moment Models in Partially-Conservative Form

  J. Koellermeier, M.J. Castro

  2021-05-26

  55882 3390 Pages:435-467

• An Explicit Second Order Scheme for Decoupled Anticipated Forward Backward Stochastic Differential Equations

  Yabing Sun, Weidong Zhao

  2020-06-12

  42628 3209 Pages:566-593

• New Second-Order Schemes for Forward Backward Stochastic Differential Equations

  Yabing Sun & Weidong Zhao

  2018-09-17

  40643 3359 Pages:399-421

• A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations

  Chunhua Zhang, Haiwei Sun

  2021-05-26

  45829 3286 Pages:604-617

• A New Compact Scheme in Exponential Form for Two-Dimensional Time-Dependent Burgers' and Navier-Stokes Equations

  R.K. Mohanty, Li Yuan, Divya Sharma

  2020-06-12

  44169 3365 Pages:437-454

• Extension of the ENO-ET Reconstruction Scheme to Two Space Dimensions on Cartesian Meshes in Conjunction with the ADER Approach

  Gino I. Montecinos, Eleuterio F. Toro

  2023-06-12

  35388 2685 Pages:759-790

• An HOC Finite Difference Scheme for the Steady Natural Convection Problem Based on the Velocity-Vorticity Method

  Tao Wang, Tiegang Liu, Kun Wang

  2025-06-06

  5396 485 Pages:591-614