Search Results

• 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

  33588 2503 Pages:1009-1038

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  47686 4132 Pages:1481-1519

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

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  5024 197 Pages:601-641

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  49998 4494 Pages:275-298

• Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

  Yongxing Hong, Jun Lu, Ji Lin, Wen Chen

  2019-01-04

  46239 5060 Pages:108-131

• 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

  47 0

• 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

  118890 6054 Pages:1318-1354

• A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids

  Qian Chen, Li Li, Jin Qi, Zhiqiang Zeng, Baolin Tian, Tiegang Liu

  2022-02-25

  47048 3354 Pages:703-724

• A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

  Guanghui Hu, Ruo Li, Xucheng Meng

  2024-01-04

  28173 2691 Pages:279-304

• WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  49573 4100 Pages:1441-1484

• Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows

  Wenjia Xie, Ye Zhang, Qing Chang, Hua Li

  2019-01-04

  46546 5432 Pages:132-167

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

  Lina Ma, Cheng Wang, Zeyu Xia

  2024-12-31

  13209 1191 Pages:633-662

• 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

  270254 3756 Pages:1477-1508

• New Conservative Finite Volume Element Schemes for the Modified Regularized Long Wave Equation

  Jinliang Yan, Ming-Chih Lai, Zhilin Li, Zhiyue Zhang

  2018-05-05

  41707 3036 Pages:250-271

• A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

  Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng

  2023-04-11

  38142 3185 Pages:1076-1108

• 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

  15569 1414 Pages:1381-1409

• 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

  49660 4181 Pages:101-124

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45197 3101 Pages:1261-1292

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  17821 1236 Pages:31-68

• Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

  Jae-Hun Jung, Wai Sun Don

  2021-07-01

  41658 4171 Pages:769-780

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

  Liyong Zhu

  2018-05-05

  43442 4707 Pages:157-172

• A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients

  Chuanmiao Chen, Xiangqi Wang, Hongling Hu

  2018-05-05

  40518 2910 Pages:501-514

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  56458 4588 Pages:1418-1439

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

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  41191 4148 Pages:699-710

• Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

  Yaoyao Chen, Ying Liu, Hao Wang

  2024-12-02

  14229 1118 Pages:207-223

• A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

  M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler

  2013-05-01

  41958 4727 Pages:269-308

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

  Maoping Wang, Weihua Deng

  2026-04-01

  4861 179 Pages:724-755