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• Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

  Maoping Wang, Weihua Deng

  2026-04-01

  5086 240 Pages:724-755

• Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

  Yu Wang, Jinsheng Cai, Kun Qu

  2021-07-01

  43925 3993 Pages:953-970

• Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  41273 3145 Pages:472-495

• 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

  119093 6098 Pages:1318-1354

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  16174 1520 Pages:1358-1380

• A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48819 5108 Pages:251-277

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  40940 3320 Pages:322-358

• Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

  Yanli Chen, Yonghai Li

  2018-05-05

  41961 3151 Pages:454-471

• Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System

  Mine Akbas

  2020-07-24

  48671 3197 Pages:1166-1195

• Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

  Na Zhang, Weihua Deng, Yujiang Wu

  2012-04-01

  42648 4729 Pages:496-518

• Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

  Eric Ngondiep, Ali H. Tedjani

  2024-11-01

  15705 1451 Pages:1381-1409

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  11392 867 Pages:956-988

• Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  42366 3151 Pages:574-595

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  42501 2982 Pages:990-1011

• Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

  Yang Yang, Yanfang Lei, Zhiyong Si

  2020-12-18

  44220 3458 Pages:311-332

• Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

  Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia

  2024-05-14

  25398 2492 Pages:952-979

• A Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

  Conghai Wu, Sujuan Yang, Ning Zhao

  2021-07-01

  43084 4408 Pages:830-848

• Efficient Reconstruction Methods for Nonlinear Elliptic Cauchy Problems with Piecewise Constant Solutions

  Herbert Egger, Antonio Leitao

  2021-07-01

  41666 4767 Pages:729-749

• High Order Efficient Algorithm for Computation of MHD Flow Ensembles

  Muhammad Mohebujjaman

  2022-06-13

  43373 3533 Pages:1111-1137

• A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

  Zhiyong Xing, Liping Wen

  2020-12-18

  44388 3274 Pages:285-295

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

  Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng

  2018-09-17

  45017 3171 Pages:1191-1226

• Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

  Lina Ma, Cheng Wang, Zeyu Xia

  2024-12-31

  13388 1253 Pages:633-662

• Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

  Huipo Liu, Shuanghu Wang, Hongbin Han

  2018-05-05

  42801 3003 Pages:871-886

• A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation

  Can Li, Weihua Deng

  2018-05-05

  42367 3065 Pages:282-306

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

  Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang

  2022-08-08

  270394 3806 Pages:1477-1508

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  2026-02-01

  5284 443 Pages:93-108

• Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

  Yunbo Yang, Yaolin Jiang, Qiongxiang Kong

  2020-01-17

  48803 3432 Pages:407-435