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• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  41313 4204 Pages:699-710

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  1016 81 Pages:1155-1188

• A Spectral Time-Domain Method for Computational Electrodynamics

  James V. Lambers

  2021-07-01

  40873 4192 Pages:781-798

• Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

  Jeffrey M. Connors, Robert D. Dolan

  2021-07-01

  64346 4652 Pages:1287-1338

• A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

  Minghui Yu, Rui Chen

  2026-02-06

  1018 95 Pages:1616-1648

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  1094 221 Pages:1355-1388

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  44536 4763 Pages:104-116

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  119089 6097 Pages:1318-1354

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  38277 3205 Pages:1233-1255

• Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations

  Xinshu Li, Kai Fu

  2022-06-13

  42486 3626 Pages:1087-1110

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  44308 4957 Pages:242-260

• Cell-Average Based Neural Network Method for Hunter-Saxton Equations

  Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, Xiaoming He

  2024-05-14

  26594 2496 Pages:833-859

• Numerical Method for the Time Fractional Fokker-Planck Equation

  Xue-Nian Cao, Jiang-Li Fu, Hu Huang

  2021-07-01

  43005 4342 Pages:848-863

• Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

  Changhui Yao, Yanfei Li

  2020-12-18

  43561 3210 Pages:481-502

• A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

  Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu

  2023-12-21

  26132 2363 Pages:164-180

• Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

  Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li

  2023-10-11

  72020 3123 Pages:1379-1406

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  26566 2472 Pages:1197-1222

• Lattice Boltzmann Model for a Class of Viscous Wave Equation

  Qianhuan Li, Zhenhua Chai, Baochang Shi

  2024-12-31

  13314 1291 Pages:440-453

• Effect of Nonuniform Grids on High-Order Finite Difference Method

  Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong

  2018-05-05

  41031 2925 Pages:1012-1034

• A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu

  2021-07-01

  48283 4101 Pages:1416-1437

• Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  288862 4059 Pages:1333-1356

• Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

  Congying Li, Liang Tang, Jie Zhou

  2024-02-29

  27797 2817 Pages:667-691

• Numerical Assessment of Criteria for Mesh Adaptation in the Finite Volume Solution of Shallow Water Equations

  Imad Kissami, Mohammed Seaid, Fayssal Benkhaldoun

  2020-01-17

  77938 3640 Pages:503-526

• A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

  Dianming Hou, Lili Ju, Zhonghua Qiao

  2024-07-22

  33745 2543 Pages:1009-1038

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  8760 619 Pages:1088-1110

• Local Collocation Approach for Solving Turbulent Combined Forced and Natural Convection Problems

  Robert Vertnik, Božidar Šarler

  2021-01-21

  40957 4487 Pages:259-279

• Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

  Ali Ruhşen Çete, Oğuz Kaan Onay

  2022-02-25

  48213 3287 Pages:539-576