Search Results

• Locally Optimal Preconditioned Conjugate Gradient Method for Computing Ground State of Space-Fractional Nonlinear Schrödinger Equation

  Biyun Zhu, Aiguo Xiao, Xueyang Li

  2026-01-26

  DOI:10.4208/nmtma.OA-2025-0107

  189 213

• 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 Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

  Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0003

  12393 1400 pp. 882-903

• 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

• 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

• HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network

  Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen, Jinyong Ying

  2023-11-07

  DOI:10.4208/nmtma.OA-2023-0097

  29995 2587 pp. 883-913

• 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

• An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Zekai Zhang, Xiaowen Xu, Shuying Zhai, Shi Shu

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0054

  37008 2783 pp. 410-432

• Linearized Transformed $L1$ Galerkin FEMs with Unconditional Convergence for Nonlinear Time Fractional Schrödinger Equations

  Wanqiu Yuan, Dongfang Li, Chengjian Zhang

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0087

  39611 3016 pp. 348-369

• Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

  Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0013s

  36315 2959 pp. 1063-1098

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0007s

  37256 3001 pp. 1009-1040

• 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

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  2022-07-19

  DOI:10.4208/nmtma.OA-2022-0023

  42469 3228 pp. 679-714

• Dual Control Methods for a Mixed Control Problem with Optimal Stopping Arising in Optimal Consumption and Investment

  Jingtang Ma, Jie Xing, Shan Yang

  2022-07-19

  DOI:10.4208/nmtma.OA-2022-0001

  39928 3032 pp. 641-661

• Numerical Solution of a One-Dimensional Nonlocal Helmholtz Equation by Perfectly Matched Layers

  Yu Du, Jiwei Zhang

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0076

  45649 2990 pp. 387-414

• The Immersed Interface Hybridized Difference Method for Parabolic Interface Problems

  Youngmok Jeon, Son-Young Yi

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0154

  44757 2855 pp. 336-359

• Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

  Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0148

  44567 3625 pp. 200-226

• On a Parabolic Sine-Gordon Model

  Xinyu Cheng, Dong Li, Chaoyu Quan, Wen Yang

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0040

  48182 2741 pp. 1068-1084

• A Hybrid WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yibing Chen, Jianxian Qiu

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0190

  47469 2748 pp. 972-997

• A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

  Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao, Bruno Carpentieri, Yu-Yun Huang

  2021-09-10

  DOI:10.4208/nmtma.OA-2020-0020

  49331 2796 pp. 893-919

• Explicit Hybrid Numerical Method for the Allen-Cahn Type Equations on Curved Surfaces

  Yongho Choi, Yibao Li, Chaeyoung Lee, Hyundong Kim, Junseok Kim

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0155

  47440 2811 pp. 797-810

• 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

• Generating Layer-Adapted Meshes Using Mesh Partial Differential Equations

  Róisín Hill, Niall Madden

  2021-06-02

  DOI:10.4208/nmtma.OA-2020-0187

  61270 3275 pp. 559-588

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  DOI:10.4208/nmtma.OA-2020-0062

  46504 2785 pp. 377-404

• 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

• On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source

  Chaeyoung Lee, Hyundong Kim, Sungha Yoon, Jintae Park, Sangkwon Kim, Junxiang Yang, Junseok Kim

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0051

  47349 3707 pp. 242-260

• Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

  P.-W. Martelli, S.M. Mefire

  2020-10-09

  DOI:10.4208/nmtma.OA-2019-0135

  46432 4178 pp. 113-143