Search Results

• 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

• Convergence Analysis of the Inexact Uzawa Algorithm for Nonlinear Saddle Point Problems

  Baohua Huang, Changfeng Ma

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0083

  47169 2811 pp. 1093-1118

• 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

• A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

  Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0093

  47880 2896 pp. 738-772

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0039

  48462 4318 pp. 71-112

• Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

  Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0073

  59029 4637 pp. 63-80

• Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

  Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0062

  59948 3101 pp. 839-861

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  DOI:10.4208/nmtma.OA-2025-0002

  5182 458 pp. 703-732

• 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

• Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

  Daniel Lee

  2017-10-01

  DOI:10.4208/nmtma.2017.m1527

  39694 2924 pp. 562-596

• Analysis of the Closure Approximation for a Class of Stochastic Differential Equations

  Yunfeng Cai, Tiejun Li, Jiushu Shao, Zhiming Wang

  2020-11-03

  DOI:10.4208/nmtma.2017.s06

  39178 2638 pp. 299-330

• Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes

  Yu Xiong, Yanping Chen, Jianwei Zhou, Qin Liang

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0071

  23901 2390 pp. 210-242

• An $hp$-Version Chebyshev Spectral Collocation Method for Nonlinear Volterra Integro-Differential Equations with Weakly Singular Kernels

  Hongli Jia, Yang Yang, Zhongqing Wang

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0104

  44547 2731 pp. 969-994

• Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

  Lijun Yi, Zhongqing Wang

  2014-07-01

  DOI:10.4208/nmtma.2014.1309nm

  39984 4009 pp. 149-178

• 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

• Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

  Zhe Jiao, Yaxu Li, Lijing Zhao

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0131

  5176 434 pp. 650-679

• Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves

  Gasper Jaklic, Jernej Kozak, Marjeta Krajnc, Vito Vitrih, Emil Zagar

  2014-07-01

  DOI:10.4208/nmtma.2014.1314nm

  39524 3907 pp. 374-398

• Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

  Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0049

  35009 3309 pp. 140-164

• A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

  R.K. Mohanty, Li Yuan, Divya Sharma

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0053

  45402 2669 pp. 488-507

• A Space-Time Petrov-Galerkin Spectral Method for Time Fractional Diffusion Equation

  Changtao Sheng, Jie Shen

  2021-01-13

  DOI:10.4208/nmtma.2018.s10

  43482 2931 pp. 854-876

• The Legendre Galerkin-Chebyshev Collocation Method for Space Fractional Burgers-Like Equations

  Yubo Yang, Heping Ma

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0087

  41360 2821 pp. 338-353

• On the Convergence of Two-Step Modulus-Based Matrix Splitting Iteration Methods for a Restricted Class of Nonlinear Complementarity Problems with $H_+$-Matrices

  Rui Li, Yan Wang, Junfeng Yin

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0004

  42407 4370 pp. 128-139

• Model Adaptation Enriched with an Anisotropic Mesh Spacing for Nonlinear Equations: Application to Environmental and CFD Problems

  Stefano Micheletti, Simona Perotto, Filippo David

  2013-06-01

  DOI:10.4208/nmtma.2013.1022nm

  39494 3938 pp. 447-478

• Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

  Xu Yang, Weidong Zhao

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0143

  45817 2783 pp. 1085-1109

• 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

• A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

  Buyun Chen, Dongdong He, Kejia Pan

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0090

  42345 2923 pp. 299-320

• Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

  Ioannis K. Argyros, Santhosh George

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0017

  41909 4260 pp. 160-168