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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

  5015 251 Pages:1715-1741

• 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

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

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  7486 479 Pages:1370-1394

• An Energy Stable SPH Method for Incompressible Fluid Flow

  Xingyu Zhu, Shuyu Sun, Jisheng Kou

  2022-06-13

  43885 3482 Pages:1201-1224

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

  Wensheng Zhang, Atish Kumar Joardar, Fei Wu

  2024-07-22

  26221 2349 Pages:1121-1151

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2025-10-04

  4619 135 Pages:601-641

• Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos

  Hongjoong Kim, Kyoung-Sook Moon

  2021-07-01

  42966 4362 Pages:833-847

• Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

  Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu

  2018-05-05

  44026 4679 Pages:37-51

• 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

  33439 2463 Pages:1009-1038

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

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  42161 3083 Pages:574-595

• 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

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  17311 1077 Pages:69-103

• Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

  Mani Sankar

  2021-07-01

  40641 4093 Pages:763-783

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

  Zhiyong Si, Piaopiao Dong, Yunxia Wang

  2022-01-24

  41055 3299 Pages:386-414

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

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  48557 4939 Pages:251-277

• Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

  Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang

  2021-07-01

  43619 4506 Pages:718-731

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  8299 493 Pages:1204-1238

• A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

  Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang

  2021-11-18

  49505 4107 Pages:101-124

• The Eulerian-Lagrangian Method with Accurate Numerical Integration

  Kun Li

  2018-08-10

  42175 4202 Pages:156-174

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  50221 4246 Pages:56-78

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

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  41051 3082 Pages:472-495

• Influence of Gravity and Taper on the Vibration of a Standing Column

  C. Y. Wang

  2012-04-01

  41710 4475 Pages:483-495

• Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

  Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li

  2022-08-08

  297911 4316 Pages:1276-1301

• 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

  14173 1058 Pages:315-349

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  43341 4664 Pages:157-172

• 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

  42263 2900 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

  43914 4242 Pages:693-698