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• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  7267 384 Pages:1715-1741

• Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  8152 601 Pages:1370-1394

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

  Yu Wang, Jinsheng Cai, Kun Qu

  2021-07-01

  43926 3993 Pages:953-970

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

  Maoping Wang, Weihua Deng

  2026-04-01

  5087 241 Pages:724-755

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

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48819 5111 Pages:251-277

• 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

  119096 6101 Pages:1318-1354

• Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

  Kolade M. Owolabi, Abdon Atangana

  2021-07-01

  42953 3932 Pages:1438-1460

• Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

  Yanli Chen, Yonghai Li

  2018-05-05

  41961 3152 Pages:454-471

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  14645 1265 Pages:315-349

• Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

  Wensheng Zhang, Atish Kumar Joardar, Fei Wu

  2024-07-22

  26570 2435 Pages:1121-1151

• 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

• Finite-Time Stability and Instability of Nonlinear Impulsive Systems

  Guihua Zhao, Hui Liang

  2022-10-24

  48591 4551 Pages:49-68

• 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

  40941 3320 Pages:322-358

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

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

  2018-05-05

  41041 2928 Pages:1012-1034

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  43824 4622 Pages:128-144

• 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

  16175 1523 Pages:1358-1380

• Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

  Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan

  2024-12-31

  13707 1344 Pages:489-516

• 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

  11394 868 Pages:956-988

• A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

  Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan

  2018-05-05

  44981 5508 Pages:1-22

• 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

  42503 2986 Pages:990-1011

• A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

  Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso

  2014-06-01

  44136 4398 Pages:693-698

• Numerical Method for the Time Fractional Fokker-Planck Equation

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

  2021-07-01

  43008 4347 Pages:848-863

• Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method

  Lei Zhao, Wenqiang Zhou, Xinliang Li, Shaolong Zhang, Yongming Zhang

  2024-05-14

  26368 2722 Pages:805-832

• 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

  48673 3197 Pages:1166-1195

• A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

  Zhiyong Si, Piaopiao Dong, Yunxia Wang

  2022-01-24

  41333 3386 Pages:386-414

• 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

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2026-02-01

  5376 464 Pages:109-133