Search Results

• Stability Analysis of Runge-Kutta Methods for Nonlinear Neutral Volterra Delay-Integro-Differential Equations

  Wansheng Wang, Dongfang Li

  2011-04-01

  DOI:10.4208/nmtma.2011.m1041

  40933 3475 pp. 537-561

• Maximum Principle-Preserving Explicit Scheme for the Ternary Allen-Cahn Equation

  Youngjin Hwang, Junseok Kim

  2026-01-28

  DOI:10.4208/nmtma.OA-2025-0074

  330 301

• Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0003s

  37127 3038 pp. 938-989

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0121

  46082 2999 pp. 788-813

• A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

  Juan Zhang, Lixiu Dong, Zhengru Zhang

  2024-08-30

  DOI:10.4208/nmtma.OA-2024-0016

  17593 1437 pp. 777-804

• Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

  Jingjun Zhao, Yu Li, Yang Xu

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0032

  40602 2851 pp. 354-382

• The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

  Hongmei Zhang, Shujun Shen

  2013-06-01

  DOI:10.4208/nmtma.2013.y12107

  40254 3668 pp. 571-585

• The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

  Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0076

  7227 764 pp. 175-198

• The Stabilized Finite Element Method for the Cahn-Hilliard Phase-Field Model of Diblock Copolymers on Evolving Surfaces

  Lulu Liu, Xufeng Xiao, Xinlong Feng

  2025-04-06

  DOI:10.4208/nmtma.2024-0033

  7006 820 pp. 103-126

• Stability and Convergence of the Integral-Averaged Interpolation Operator Based on $Q_1$-Element in $\mathbb{R}^n$

  Yaru Liu, Yinnian He, Xinlong Feng

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0122

  21012 1770 pp. 494-513

• ODE-Based Multistep Schemes for Backward Stochastic Differential Equations

  Shuixin Fang, Weidong Zhao

  2023-11-07

  DOI:10.4208/nmtma.OA-2023-0060

  28458 2443 pp. 1053-1086

• A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2023-01-13

  DOI:10.4208/nmtma.OA-2021-0169

  35090 3273 pp. 111-139

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0165

  55831 3409 pp. 279-303

• Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

  Reza Mokhtari, Mohadese Ramezani, Gundolf Haase

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0020

  48654 2786 pp. 945-971

• Discrete Approximation Scheme in Distributionally Robust Optimization

  Yongchao Liu, Xiaoming Yuan, Jin Zhang

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0125

  58214 2979 pp. 285-320

• Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments

  Yidan Geng, Minghui Song, Yulan Lu, Mingzhu Liu

  2020-10-09

  DOI:10.4208/nmtma.OA-2019-0108

  48260 3822 pp. 194-218

• Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

  Mingrong Cui

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0046

  44214 2851 pp. 845-866

• Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

  Wensheng Zhang, Li Tong, Eric T. Chung

  2018-08-14

  DOI:10.4208/nmtma.2011.m1026

  39670 3797 pp. 205-228

• A Perturbation Result for Dynamical Contact Problems

  Corinna Klapproth, Peter Deuflhard, Anton Schiela

  2009-02-01

  DOI:10.4208/nmtma.2009.m9003

  41009 3533 pp. 237-257

• Fourth-Order Splitting Methods for Time-Dependant Differential Equations

  Jürgen Geiser

  2008-01-01

  39264 3573 pp. 321-339

• Stability and Optimal Error Estimates Analysis of an LDG Method for the Stochastic Nonlinear KdV Equation

  Xuewei Liu, Zhenyu Wang, Xiaohua Ding, Shao-Liang Zhang

  2025-12-23

  DOI:10.4208/nmtma.OA-2025-0080

  520 198 pp. 192-218

• Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

  Hongling Li, Manting Xie, Meiling Yue

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0007

  5584 361 pp. 947-971

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0086

  7029 748 pp. 226-258

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0081

  7082 769 pp. 127-156

• Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

  Haijun Gao, Xi Li, Minfu Feng

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0050

  7199 733 pp. 66-102

• Fourier Convergence Analysis for a Fokker-Planck Equation of Tempered Fractional Langevin-Brownian Motion

  Maoping Wang, Weihua Deng

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0137

  17388 1413 pp. 751-776

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0108

  21593 1691 pp. 429-462