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 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

• 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

• Exact Solutions for a Higher-Order Boussinesq Equation and a New Higher-Order Boussinesq-Like Equation

  Wenxia Chen, Weixu Ni, Yi Wang, Lixin Tian

  2025-05-28

  4502 161 Pages:72-89

• 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

• Jacobi Spectral Collocation Method for the Time Variable-Order Fractional Mobile-Immobile Advection-Dispersion Solute Transport Model

  Heping Ma & Yubo Yang

  2018-02-09

  35794 3275 Pages:337-352

• Lubich Second-Order Methods for Distributed-Order Time-Fractional Differential Equations with Smooth Solutions

  Rui Du, Zhao-Peng Hao, Zhi-Zhong Sun

  2018-02-09

  37461 3239 Pages:131-151

• Distributed Feedback Control of the Benjamin-Bona-Mahony-Burgers Equation by a Reduced-Order Model

  Guang-Ri Piao & Hyung-Chun Lee

  2018-02-09

  37554 4552 Pages:61-74

• 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

• Higher-Order Rogue Waves of the Nonlocal Nonlinear Schrödinger Equation in the Defocusing Regime

  Xiu-Bin Wang, Shou-Fu Tian

  2025-05-19

  7996 97 Pages:90-104

• 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

• An $hp$-Version of $C^0$ -Continuous Petrov-Galerkin Time-Stepping Method for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

  Shuangshuang Li, Lina Wang, Lijun Yi

  2020-11-24

  45657 4345 Pages:20-42

• 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 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 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

• 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

• Identifying the Order and a Space Source Term in a Time Fractional Diffusion-Wave Equation

  Ting Wei, Jianming Xu, Xi Yue

  2025-10-23

  4526 134 Pages:168-203

• 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

• Multi-Breather, Rogue Wave and Multi-Bright-Dark Soliton Interaction of the (2+1)-Dimensional Nonlocal Fokas System

  Xue-Wei Yan, Yong Chen, Shou-Fu Tian, Xiu-Bin Wang

  2024-01-02

  28461 3106 Pages:1-23

• 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

• Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method

  Xiu Ye, Shangyou Zhang

  2022-08-17

  302833 3703 Pages:781-790

• Analysis and Numerical Approximation for a Nonlinear Hidden-Memory Variable-Order Fractional Stochastic Differential Equation

  Jinhong Jia, Zhiwei Yang, Xiangcheng Zheng & Hong Wang

  2022-04-06

  49905 3324 Pages:673-695

• 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