Search Results

• 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

• 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

• A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

  Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0072

  47671 3788 pp. 219-241

• Evaluation Finite Moment Log-Stable Option Pricing by a Spectral Method

  Xu Guo, Leevan Ling

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0131

  51270 2886 pp. 437-452

• Numerical Method for Singularly Perturbed Third Order Ordinary Differential Equations of Convection-Diffusion Type

  J. Christy Roja, A. Tamilselvan

  2014-07-01

  DOI:10.4208/nmtma.2014.y12030

  40396 3854 pp. 265-287

• Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

  Changna Lu, Gang Li

  2011-04-01

  DOI:10.4208/nmtma.2011.m1027

  41802 3564 pp. 505-524

• 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

• 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

• 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

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0159

  36408 2655 pp. 541-564

• Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

  Yang Zhang, Xuhong Yu, Zhongqing Wang

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0082

  44910 2606 pp. 461-487

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0038

  46119 4466 pp. 253-280

• A High Order Operator Splitting Method for the Degasperis–Procesi Equation

  Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang, Songhe Song

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0048

  43416 2737 pp. 884-905

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li, Tongjun Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.y15013

  39285 2711 pp. 541-561

• Computing Viscous Flow in an Elastic Tube

  Yi Li, Ioannis Sgouralis, Anita T. Layton

  2014-07-01

  DOI:10.4208/nmtma.2014.1303si

  39868 3627 pp. 555-574

• 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

• Laguerre Spectral Method for High Order Problems

  Chao Zhang, Ben-Yu Guo, Tao Sun

  2013-06-01

  DOI:10.4208/nmtma.2013.y11039

  38951 3793 pp. 520-537

• The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

  Lian Chen, Zhongqiang Zhang, Heping Ma

  2012-05-01

  DOI:10.4208/nmtma.2012.m1110

  39880 3541 pp. 493-508

• A Gradient Recovery Technique for Enhancing the Convergence of Demagnetizing Field Based on PDE Approach

  Jing Wu, Zixuan Cui, Lei Yang, Guanghui Hu

  2025-11-10

  DOI:10.4208/nmtma.OA-2025-0043

  560 218 pp. 80-105

• Splitting ADI Scheme for Fractional Laplacian Wave Equations

  Tao Sun, Hai-Wei Sun

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0149

  17834 1466 pp. 697-726

• 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

• Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

  Jitenjaya Pradhan, Yogesh G. Bhumkar

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0095

  42787 2730 pp. 942-968

• A Weak Galerkin Finite Element Method for Elliptic Interface Problems with Polynomial Reduction

  Bhupen Deka

  2018-09-17

  DOI:10.4208/nmtma.2017-OA-0078

  40405 2775 pp. 655-672

• Superconvergence and Asymptotic Expansions for Bilinear Finite Volume Element Approximations

  Cunyun Nie, Shi Shu, Haiyuan Yu, Juan Wu

  2013-06-01

  DOI:10.4208/nmtma.2013.1127nm

  38694 3545 pp. 408-423

• The Method of Fundamental Solutions for Optical Fluorescence Tomography

  Andreas Karageorghis, Daniel Lesnic

  2026-01-14

  DOI:10.4208/nmtma.OA-2025-0101

  450 177 pp. 219-239

• 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