Search Results

• A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

  Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao

  2025-10-22

  DOI:10.4208/nmtma.OA-2024-0140

  5700 386 pp. 881-902

• L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

  Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0085

  7759 716 pp. 544-574

• Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

  Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0123

  29034 2652 pp. 634-667

• An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

  Cheng Dong, Tong Kang

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0006

  44841 2682 pp. 405-437

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0154

  43014 2696 pp. 539-568

• Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

  Liupeng Wang, Yunqing Huang, Kai Jiang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0110

  45919 2924 pp. 372-399

• Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

  Yu Fu, Weidong Zhao, Tao Zhou

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0137

  48706 3087 pp. 296-319

• A Fourth Order Compact Scheme for Transport Equation with Discontinuous Coefficients

  Suruchi Singh, Kazufumi Ito, Swarn Singh, Zhilin Li

  2021-01-13

  DOI:10.4208/nmtma.2018.s06

  42300 2863 pp. 782-794

• A Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

  Dongyang Kuang, Long Lee

  2015-08-01

  DOI:10.4208/nmtma.2015.m1408

  38881 2736 pp. 634-650

• High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

  Hao Wu

  2011-04-01

  DOI:10.4208/nmtma.2011.m1036

  41490 3517 pp. 576-597

• Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations

  Tongke Wang

  2010-03-01

  DOI:10.4208/nmtma.2010.m99027

  41886 4217 pp. 499-522

• Machine Learning-Based Bias Correction for the GEIM Model

  Taidong Niu, Mingzhe Lyu, Helin Gong, Han Zhang, Zhang Chen, Zhiyong Wang

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0025

  5674 357 pp. 1066-1099

• A Novel Semi-Analytical Multiple Invariants-Preserving Integrator for Conservative PDEs

  Wei Shi, Bin Wang, Kai Liu

  2026-01-21

  DOI:10.4208/nmtma.OA-2025-0097

  131 208

• A Lagrangian Discontinuous Galerkin Scheme for the Compressible Euler Equations on Unstructured Triangular Meshes

  Xiaolong Zhao, Xijun Yu, Shicang Song, Shijun Zou, Fang Qing

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0042

  11734 1218 pp. 1074-1099

• A Novel Iterative Method to Find the Moore-Penrose Inverse of a Tensor with Einstein Product

  Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0023

  27544 2643 pp. 37-68

• Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0088

  28646 2936 pp. 1-36

• A Physics-Informed Structure-Preserving Numerical Scheme for the Phase-Field Hydrodynamic Model of Ternary Fluid Flows

  Qi Hong, Yuezheng Gong, Jia Zhao

  2023-08-29

  DOI:10.4208/nmtma.OA-2023-0007

  35655 3018 pp. 565-596

• The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

  Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang

  2023-01-13

  DOI:10.4208/nmtma.OA-2021-0184

  33914 3179 pp. 242-276

• Application of Adapted-Bubbles to the Helmholtz Equation with Large Wavenumbers in 2D

  Adem Kaya

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0083

  34010 3300 pp. 26-57

• A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation

  Yue Chen, Yuezheng Gong, Qi Hong, Chunwu Wang

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0172

  39782 3042 pp. 768-792

• An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

  Ruo Li, Wei Zhong

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0074

  45062 3801 pp. 1-41

• An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

  Changjuan Zhang, Zhilin Li, Xingye Yue

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0112

  47260 2834 pp. 773-796

• A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

  Kang Li, Zhijun Tan

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0200

  51335 2956 pp. 1050-1067

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part I: Concepts and Fundamentals

  M. Esmaeilzadeh, R.M. Barron, R. Balachandar

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0143

  53489 3136 pp. 881-907

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0015

  44081 2932 pp. 665-688

• Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

  Guanghua Gao, Qian Yang

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0013

  46044 3003 pp. 433-451

• A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

  Shuai Su, Jiming Wu

  2020-03-06

  DOI:10.4208/nmtma.OA-2018-0121

  42881 4276 pp. 220-252