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• Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

  Yuping Li, Hui Liang, Huifang Yuan

  2025-05-12

  8366 513 Pages:1111-1132

• 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

  37945 3118 Pages:1233-1255

• A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

  Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao

  2014-06-01

  42103 4188 Pages:281-298

• Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

  Spike T. Lee, Hai-Wei Sun

  2021-07-01

  40806 4028 Pages:845-861

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

  Xinshu Li, Kai Fu

  2022-06-13

  42234 3547 Pages:1087-1110

• A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

  Fei Teng, Zhendong Luo

  2020-12-18

  43334 3231 Pages:355-377

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  45507 3160 Pages:806-826

• On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

  Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong

  2018-05-05

  43918 4527 Pages:43-72

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

  Changhui Yao, Yanfei Li

  2020-12-18

  43303 3150 Pages:481-502

• A Simple Implementation of the Semi-Lagrangian Level-Set Method

  Weidong Shi, Jian-Jun Xu, Shi Shu

  2018-05-05

  43452 4558 Pages:104-124

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  49484 3268 Pages:1196-1223

• The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

  Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo

  2020-07-24

  44555 3282 Pages:1113-1136

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  17562 1105 Pages:31-68

• High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

  Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang

  2020-01-17

  46799 3152 Pages:599-642

• A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

  Jinxin Wu, Han Liu, Zuoli Xiao

  2019-04-16

  49472 3181 Pages:583-597

• A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  47079 6152 Pages:114-137

• A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

  Yufang Gao, Shengxiang Chang, Changna Lu

  2024-11-01

  15116 1370 Pages:1451-1473

• 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

  26270 2390 Pages:1197-1222

• Lattice Boltzmann Model for a Class of Viscous Wave Equation

  Qianhuan Li, Zhenhua Chai, Baochang Shi

  2024-12-31

  12947 1183 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

  40777 2846 Pages:1012-1034

• A Boundary Condition-Implemented Immersed Boundary-Lattice Boltzmann Method and Its Application for Simulation of Flows Around a Circular Cylinder

  X. Wang, C. Shu, J. Wu, L. M. Yang

  2021-07-01

  43440 4595 Pages:811-829

• 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

  48037 4043 Pages:1416-1437

• A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

  Yixiao Ge, Ting Tan, Jing An

  2020-04-10

  46140 3294 Pages:815-834

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

  Zhenrong Chen, Yanping Chen, Yunqing Huang

  2022-08-08

  288583 3985 Pages:1333-1356

• 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

  118609 5935 Pages:1318-1354

• Second-Order Schemes for Fokker-Planck Equations with Discontinuous Drift

  Boya Zhang, Yaming Chen, Songhe Song

  2018-09-17

  44849 3101 Pages:343-361

• 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

  27479 2722 Pages:667-691