Search Results

• A Class of Efficient Multistep Methods for Forward Backward Stochastic Differential Equations

  Xiao Tang, Jie Xiong

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0010

  11991 1150 pp. 904-932

• 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

• 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 Generalized Selectively Relaxed Matrix Splitting Preconditioning Strategy for Three-Dimensional Flux-Limited Multi-Group Radiation Diffusion Equations

  Xiaoqiang Yue, Sheng Xia, Chunyan Chen, Xiaowen Xu, Shi Shu

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0098

  22389 1424 pp. 630-657

• 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

• Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations

  Yafei Xu, Weidong Zhao

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0134

  21384 1810 pp. 463-493

• 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

• Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

  Jiacheng Li, Min Yang, Chuanjun Chen

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0133

  27437 2309 pp. 310-330

• On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

  Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0065

  27041 2681 pp. 69-92

• 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

• Projection Improved SPAI Preconditioner for FGMRES

  Mingguang Geng, Shuli Sun

  2023-11-07

  DOI:10.4208/nmtma.OA-2022-0202

  28375 2369 pp. 1035-1052

• Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

  Xu Qian, Hong Zhang, Jingye Yan, Songhe Song

  2023-11-07

  DOI:10.4208/nmtma.OA-2022-0185

  28186 2399 pp. 993-1012

• A Riemannian Inertial Mann Algorithm for Nonexpansive Mappings on Hadamard Manifolds

  Teng-Teng Yao, Xiao-Qing Jin, Zhi Zhao

  2023-11-07

  DOI:10.4208/nmtma.OA-2023-0039

  27729 2470 pp. 954-967

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0166

  28533 2542 pp. 668-700

• 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

• A Convergence Analysis of a Structure-Preserving Gradient Flow Method for the All-Electron Kohn-Sham Model

  Yedan Shen, Ting Wang, Jie Zhou, Guanghui Hu

  2023-08-29

  DOI:10.4208/nmtma.OA-2022-0195

  31032 2667 pp. 597-621

• 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

• Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes

  Changshi Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang, Cheng Yuan

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0105

  37460 2732 pp. 433-452

• 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

• 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 Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

  Chao Zhang, Guoqing Yao, Sheng Chen

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0006s

  36234 2969 pp. 1041-1062

• 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

• 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

• 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

• Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

  Maryam Bashirizadeh, Masoud Hajarian

  2022-07-19

  DOI:10.4208/nmtma.OA-2021-0131

  40332 3171 pp. 592-619

• A Variant Modified Skew-Normal Splitting Iterative Method for Non-Hermitian Positive Definite Linear Systems

  Rui Li, Jun-Feng Yin, Zhi-Lin Li

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0038

  45082 2930 pp. 510-529

• Artificial Boundary Conditions for Time-Fractional Telegraph Equation

  Wang Kong, Zhongyi Huang

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0067

  46346 3002 pp. 360-386