Search Results

• Analysis on a Numerical Scheme with Second-Order Time Accuracy for Nonlinear Diffusion Equations

  Xia Cui, Guangwei Yuan, Fei Zhao

  2021-10-15

  40472 3029 Pages:777-800

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31302 2846 Pages:111-133

• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41033 4261 Pages:58-83

• Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

  Lingling Zhou, Wenhua Chen, Ruihan Guo

  2025-11-20

  1336 63 Pages:286-306

• Two-Stage Fourth-Order Accurate Time Discretizations for 1D and 2D Special Relativistic Hydrodynamics

  Huazhong Tang, Yuhuan Yuan

  2020-11-09

  43666 2965 Pages:768-796

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41007 2977 Pages:135-158

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  39338 3005 Pages:580-605

• Two-Grid Finite Element Method for Time-Fractional Nonlinear Schrödinger Equation

  Hanzhang Hu, Yanping Chen, Jianwei Zhou

  2024-04-09

  26445 2010 Pages:1124-1144

• On the Explicit Two-Stage Fourth-Order Accurate Time Discretizations

  Yuhuan Yuan, Huazhong Tang

  2022-11-15

  300579 2943 Pages:305-324

• Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang

  2023-12-01

  29167 2642 Pages:217-247

• A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

  Jie Yang, Guannan Zhang, Weidong Zhao

  2019-02-12

  39385 2883 Pages:237-258

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

  Long Yuan, Xiaoyu Wang, Xiaoqiang Yue

  2025-01-16

  111 27

• High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

  Hua-Zhong Tang & Gerald Warnecke

  2006-04-02

  31867 3355 Pages:121-140

• A Second-Order Convex Splitting Scheme for a Cahn-Hilliard Equation with Variable Interfacial Parameters

  Xiao Li, Zhonghua Qiao, Hui Zhang

  2021-07-01

  37574 3930 Pages:693-710

• Finite Element Analysis of a Local Exponentially Fitted Scheme for Time-Dependent Convection-Diffusion Problems

  Xing-Ye Yue, Li-Shang Jiang, Tsi-Min Shih

  1999-06-02

  32592 3429 Pages:225-232

• A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms

  Fuqiang Lu, Zhiyao Song, Zhuo Zhang

  2018-08-22

  35386 2765 Pages:462-478

• High-Order I-Stable Centered Difference Schemes for Viscous Compressible Flows

  Weizhu Bao & Shi Jin

  2003-02-02

  34318 4202 Pages:101-112

• One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

  Tao Sun, Chengjian Zhang, Haiwei Sun

  2024-04-08

  18870 1851 Pages:705-734

• Efficient Linear Schemes with Unconditional Energy Stability for the Phase Field Model of Solid-State Dewetting Problems

  Jie Chen, Zhengkang He, Shuyu Sun, Shimin Guo, Zhangxin Chen

  2020-03-24

  39379 2879 Pages:452-468

• A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

  Maohua Ran, Chengjian Zhang

  2020-02-20

  43421 2914 Pages:239-253

• Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

  Xiaoli Li, Hongxing Rui

  2018-09-17

  40627 2894 Pages:492-516

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

  Juan Li, Xuping Wang

  2025-11-20

  1341 73 Pages:165-190

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

  Lavanya V Salian, Rathan Samala, Rakesh Kumar

  2025-11-19

  48 16

• 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

  35745 3734 Pages:807-825

• A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

  Yuanming Wang & Benyu Guo

  2018-08-07

  33608 3611 Pages:123-148

• Approximation, Stability and Fast Evaluation of Exact Artificial Boundary Condition for the One-Dimensional Heat Equation

  Chunxiong Zheng

  2021-07-01

  32132 3433 Pages:730-745

• AD Galerkin Analysis for Nonlinear Pseudo-Hyperbolic Equations

  Xia Cui

  2003-04-02

  32964 3505 Pages:125-134