Search Results

• 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

• Quadrature Based Optimal Iterative Methods with Applications in High-Precision Computing

  Sanjay Kumar Khattri

  2012-05-01

  DOI:10.4208/nmtma.2012.m1114

  41794 3571 pp. 592-601

• One-Step Multi-Derivative Methods for Backward Stochastic Differential Equations

  Chengjian Zhang, Jingwen Wu, Weidong Zhao

  2019-10-12

  DOI:10.4208/nmtma.OA-2018-0122

  47175 2598 pp. 1213-1230

• 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

• High-Order Methods for Exotic Options and Greeks Under Regime-Switching Jump-Diffusion Models

  Jingtang Ma, Han Wang, Zhiqiang Zhou, Zhijun Tan

  2020-03-09

  DOI:10.4208/nmtma.OA-2019-0119

  44521 2803 pp. 497-515

• 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

• 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

• Solving Generalized Tensor Eigenvalue Problem via Spectral Shifted Inverse Power Methods

  Mehri Pakmanesh, Hamidreza Afshin, Masoud Hajarian

  2025-09-01

  DOI:10.4208/nmtma.OA-2024-0139

  5200 471 pp. 680-702

• 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

• 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

• 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

• 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

• An Unconditionally Stable Laguerre Based Finite Difference Method for Transient Diffusion and Convection-Diffusion Problems

  Wescley T. B. de Sousa, Carlos F. T. Matt

  2019-04-22

  DOI:10.4208/nmtma.OA-2018-0026

  44555 2796 pp. 681-708

• Deferred Correction Methods for Forward Backward Stochastic Differential Equations

  Tao Tang, Weidong Zhao, Tao Zhou

  2020-11-03

  DOI:10.4208/nmtma.2017.s02

  40856 4285 pp. 222-242 Open Access

• Multi-Label Markov Random Fields as an Efficient and Effective Tool for Image Segmentation, Total Variations and Regularization

  Dorit S. Hochbaum

  2013-06-01

  DOI:10.4208/nmtma.2013.mssvm09

  40631 3978 pp. 169-198

• Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

  Yubo Zhang, Tao Tang

  2011-04-01

  DOI:10.4208/nmtma.2011.m9017

  39604 4150 pp. 92-112

• Multi-Product Expansion with Suzuki's Method: Generalization

  Jürgen Geiser

  2011-04-01

  DOI:10.4208/nmtma.2011.m9010

  39258 3962 pp. 68-91

• Adaptive Hybridized Interior Penalty Discontinuous Galerkin Methods for H(curl)-Elliptic Problems

  C. Carstensen, R. H. W. Hoppe, N. Sharma, T. Warburton

  2011-04-01

  DOI:10.4208/nmtma.2011.m1007

  41984 4126 pp. 13-37

• 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

• R-Adaptive DeepONet: Learning Solution Operators for PDEs with Discontinuous Solutions Using an R-Adaptive Strategy

  Yameng Zhu, Jingrun Chen, Weibing Deng

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0124

  7155 774 pp. 31-65

• Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

  Xuejuan Chen, Zhiping Mao, George Em Karniadakis

  2023-01-21

  DOI:10.4208/nmtma.OA-2022-0012s

  37670 3014 pp. 876-902

• Fast Solvers of Fredholm Optimal Control Problems

  Mario Annunziato, Alfio Borzi

  2010-03-01

  DOI:10.4208/nmtma.2010.m9011

  41194 3850 pp. 431-448

• 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

• Novel Partitioned Time-Stepping Algorithms for Fast Computation of Random Interface-Coupled Problems with Uncertain Parameters

  Yizhong Sun, Jiangshan Wang, Haibiao Zheng

  2024-02-26

  DOI:10.4208/nmtma.OA-2023-0109

  23522 2208 pp. 145-180

• New Splitting Algorithms for Multiplicative Noise Removal Based on Aubert-Aujol Model

  Yu Gan, Jie Zhang, Huibin Chang

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0134

  45390 3012 pp. 415-441

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  DOI:10.4208/nmtma.OA-2021-0035

  47238 4622 pp. 42-67

• Solution Remapping Technique to Accelerate Flow Convergence for Finite Volume Methods Applied to Shape Optimization Design

  Jufang Wang, Zheng Wang, Tiegang Liu

  2020-12-02

  DOI:10.4208/nmtma.OA-2019-0164

  49458 3123 pp. 863-880