Search Results

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

  Yueran Wang, Wenli Yang, Zhongyi Huang

  2025-11-14

  1784 45 Pages:427-456

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

  Puttha Sakkaplangkul

  2025-05-19

  7259 76 Pages:45-71

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

  Xin Zhang, Junxiang Yang, Zhijun Tan

  2025-01-07

  12443 1168 Pages:344-372

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

  Sopida Jewprasert, Noppadol Chumchob & Chantana Chantrapornchai

  2018-02-09

  36115 3273 Pages:361-386

• 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

  5240 480 Pages:520-539

• Numerical Simulation of Two-Layer Shallow Water Flows. Exchange Flow in the Lombok Strait

  Putu Veri Swastika, Sri Redjeki Pudjaprasetya, Nugrahinggil Subasita

  2025-01-07

  12434 1101 Pages:373-391

• A Linearized Structure-Preserving Numerical Scheme for a Gradient Flow Model of the Kohn-Sham Density Functional Theory

  Guanghui Hu, Ting Wang, Jie Zhou

  2023-04-25

  31426 3532 Pages:299-319 Open-access

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

  Yabing Sun, Weidong Zhao

  2020-06-12

  42531 3147 Pages:566-593

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

  Yang Li, Jie Yang, Weidong Zhao

  2020-04-01

  42179 3137 Pages:354-380

• Prediction-Correction Scheme for Decoupled Forward Backward Stochastic Differential Equations with Jumps

  Yu Fu, Jie Yang & Weidong Zhao

  2018-02-09

  36006 3153 Pages:253-277

• An Explicit Second-Order Numerical Scheme to Solve Decoupled Forward Backward Stochastic Equations

  Yu Fu & Weidong Zhao

  2018-02-09

  38269 4399 Pages:368-385

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

  Kailiang Wu, Zhicheng Yang & Huazhong Tang

  2018-02-09

  39060 4492 Pages:95-131

• 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

  5182 439 Pages:591-614

• Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains

  Yunchu Wang, Li Yuan

  2021-08-03

  44375 3046 Pages:708-731

• A Compact Difference Scheme for Time-Fractional Dirichlet Biharmonic Equation on Temporal Graded Meshes

  Mingrong Cui

  2020-11-24

  45260 4277 Pages:164-180

• Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition

  Mingrong Cui

  2019-01-07

  41478 5286 Pages:45-66

• A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

  Junjie Wang, Aiguo Xiao & Chenxi Wang

  2021-09-02

  40167 3449 Pages:715-745

• Three-Layer Non-Hydrostatic Staggered Scheme for Free Surface Flow

  Ade C. Bayu, S. R. Pudjaprasetya & I. Magdalena

  2021-07-02

  38526 3546 Pages:643-657

• Uniformly Stable Explicitly Solvable Finite Difference Method for Fractional Diffusion Equations

  Hongxing Rui & Jian Huang

  2018-02-09

  37572 4773 Pages:29-47

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

  Min Gao, Yi Shi

  2025-11-14

  1787 48 Pages:365-387

• Error Analysis of BDF-Galerkin FEMs for Thermally Coupled Incompressible MHD with Temperature Dependent Parameters

  Shuaijun Liu, Pengzhan Huang, Yinnian He

  2024-09-27

  15248 1282 Pages:731-768

• 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

  25345 2140 Pages:490-506

• Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

  Yongtao Zhou & Martin Stynes

  2022-04-06

  51996 3444 Pages:503-520

• A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

  Huijun Fan, Yanmin Zhao, Fenling Wang, Yanhua Shi, Yifa Tang

  2020-11-24

  45565 4573 Pages:63-92

• 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

  44078 3335 Pages:437-454

• A Compact Difference Scheme for Fourth-Order Temporal Multi-Term Fractional Wave Equations and Maximum Error Estimates

  Guang-Hua Gao, Rui Liu

  2019-10-09

  40294 3155 Pages:703-722

• 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

  37899 5005 Pages:852-866 Open-access