Search Results

• An Implicit Solver for the Time-Dependent Kohn-Sham Equation

  Lei Yang, Yedan Shen, Zhicheng Hu, Guanghui Hu

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0040

  47847 3920 pp. 261-284 Open Access

• An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

  Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0016

  42819 2916 pp. 594-606

• Mesh Spacing Estimates and Efficiency Considerations for Moving Mesh Systems

  Joan Remski

  2016-09-01

  DOI:10.4208/nmtma.2016.m1508

  39681 2842 pp. 432-450

• A Moving Mesh Isogeometric Method Based on Harmonic Maps

  Tao Wang, Xucheng Meng, Ran Zhang, Guanghui Hu

  2025-10-22

  DOI:10.4208/nmtma.OA-2025-0005

  5803 429 pp. 903-926

• 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 Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

  Yan Gui, Rui Du, Cheng Wang

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0036

  11982 1304 pp. 1041-1073

• Convergence Analysis of Split-Douglas-Rachford Algorithm and a Novel Preconditioned ADMM with an Improved Condition

  Maoran Wang, Xingju Cai, Yongxin Chen

  2024-08-30

  DOI:10.4208/nmtma.OA-2023-0113

  17930 1456 pp. 658-696

• Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

  Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0095

  26345 2162 pp. 331-350

• Adaptive Parallel Primal-Dual Method for Saddle Point Problems

  Xiayang Zhang

  2018-09-17

  DOI:10.4208/nmtma.2018.m1621

  42550 4767 pp. 187-210

• Numerical Effects of the Gaussian Recursive Filters in Solving Linear Systems in the 3Dvar Case Study

  Salvatore Cuomo, Ardelio Galletti, Giulio Giunta, Livia Marcellino

  2017-10-01

  DOI:10.4208/nmtma.2017.m1528

  38912 2708 pp. 520-540

• Towards Textbook Efficiency for Parallel Multigrid

  Bjoern Gmeiner, Ulrich Ruede, Holger Stengel, Christian Waluga, Barbara Wohlmuth

  2015-08-01

  DOI:10.4208/nmtma.2015.w10si

  43422 4771 pp. 22-46

• A Projection Preconditioner for Solving the Implicit Immersed Boundary Equations

  Qinghai Zhang, Robert D. Guy, Bobby Philip

  2014-07-01

  DOI:10.4208/nmtma.2014.1304si

  40152 3691 pp. 473-498

• An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

  Zhiming Chen, Xinming Wu

  2008-01-01

  39018 3687 pp. 113-137

• Density Estimation via Mixture Discrepancy and Moments

  Zhengyang Lei, Lirong Qu, Sihong Shao, Yunfeng Xiong

  2026-01-20

  DOI:10.4208/nmtma.OA-2025-0038

  426 173 pp. 240-274

• 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

• A Space-Time Extrapolation Cascadic Multigrid Method for 2D Linear Parabolic Problems

  Huaqing Wang, Kejia Pan, Jin Li, Hongling Hu

  2025-11-05

  DOI:10.4208/nmtma.OA-2025-0010

  675 277 pp. 20-38

• 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

• A Modified Version of the PRESB Preconditioner for a Class of Non-Hermitian Complex Systems of Linear Equations

  Owe Axelsson, Davod Khojasteh Salkuyeh

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0116

  5137 413 pp. 756-770

• 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

• Variable $s$-Step Technique for New Conjugate Residual Algorithms for Solving Non-Square Linear Systems Arising in Control Problems

  Hojjatollah Shokri Kaveh, Masoud Hajarian, Anthony T. Chronopoulos

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0109

  5183 446 pp. 598-618

• An Efficient Particle-Field Algorithm with Neural Interpolation Based on a Parabolic-Hyperbolic Chemotaxis System in 3D

  Jongwon David Kim, Jack Xin

  2026-04-16

  DOI:10.4208/nmtma.OA-2025-0127

  19 12

• A Proximal-Perturbed Bregman ADMM for Solving Nonsmooth and Nonconvex Composite Optimization

  Jianchao Bai, Xu Cui, Zhie Wu

  2026-02-23

  DOI:10.4208/nmtma.OA-2025-0066

  182 124

• 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

• A Resampling-Free Stochastic Projection Contraction Algorithm for Solving Stochastic Variational Inequalities

  Ting Li, Xingju Cai, Deren Han

  2026-01-20

  DOI:10.4208/nmtma.OA-2025-0068

  165 282

• 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

• 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 Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  DOI:10.4208/nmtma.OA-2024-0044

  11931 1439 pp. 1100-1127