Search Results

• Local Convergence for a Fifth Order Traub-Steffensen-Chebyshev-Like Composition Free of Derivatives in Banach Space

  Ioannis K. Argyros, Santhosh George

  2018-09-17

  DOI:10.4208/nmtma.OA-2017-0017

  41909 4260 pp. 160-168

• The Numerical Simulation of Space-Time Variable Fractional Order Diffusion Equation

  Hongmei Zhang, Shujun Shen

  2013-06-01

  DOI:10.4208/nmtma.2013.y12107

  40254 3668 pp. 571-585

• 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

• Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

  Jie Ding, Xiang Ji, Ziheng Xu

  2025-09-01

  DOI:10.4208/nmtma.OA-2025-0002

  5182 458 pp. 703-732

• A Third Order Accurate in Time, BDF-Type Energy Stable Scheme for the Cahn-Hilliard Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise, Yanmei Wu

  2022-03-23

  DOI:10.4208/nmtma.OA-2021-0165

  55831 3409 pp. 279-303

• 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

• A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation

  Hong Sun, Zhi-zhong Sun, Rui Du

  2019-10-12

  DOI:10.4208/nmtma.OA-2017-0144

  48829 2747 pp. 1168-1190

• 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

• 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

• Stability and Convergence Analyses of the FDM Based on Some L-Type Formulae for Solving the Subdiffusion Equation

  Reza Mokhtari, Mohadese Ramezani, Gundolf Haase

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0020

  48654 2786 pp. 945-971

• Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

  Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0073

  59029 4637 pp. 63-80

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji, Zhizhong Sun

  2017-10-01

  DOI:10.4208/nmtma.2017.m1605

  38897 2708 pp. 597-613

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  2020-03-16

  DOI:10.4208/nmtma.OA-2019-0175

  44329 2993 pp. 595-619

• Convergence of a Generalized Primal-Dual Algorithm with an Improved Condition for Saddle Point Problems

  Fan Jiang, Yueying Luo, Xingju Cai, Tanxing Wang

  2025-05-16

  DOI:10.4208/nmtma.OA-2024-0105

  7589 587 pp. 463-486

• Numerical Methods for System Parabolic Variational Inequalities from Regime-Switching American Option Pricing

  Jie Xing, Jingtang Ma

  2018-12-17

  DOI:10.4208/nmtma.OA-2018-0025

  41699 2825 pp. 566-593

• Uniform Convergence of Adaptive Multigrid Methods for Elliptic Problems and Maxwell's Equations

  Ralf Hiptmair, Haijun Wu, Weiying Zheng

  2012-05-01

  DOI:10.4208/nmtma.2012.m1128

  40868 3694 pp. 297-332

• An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

  Jiexin Wang, Hong-Lin Liao, Ying Zhao

  2023-01-13

  DOI:10.4208/nmtma.OA-2022-0072

  34588 3278 pp. 165-181

• Exact Singularity Subtraction from Boundary Integral Equations in Modeling Vesicles and Red Blood Cells

  Alexander Farutin, Chaouqi Misbah

  2014-07-01

  DOI:10.4208/nmtma.2014.1308si

  40250 3782 pp. 413-434

• High-Order Leap-Frog Based Discontinuous Galerkin Method for the Time-Domain Maxwell Equations on Non-Conforming Simplicial Meshes

  Hassan Fahs

  2009-02-01

  DOI:10.4208/nmtma.2009.m8018

  40907 3633 pp. 275-300

• 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

• Numerical Algorithm with Fourth-Order Spatial Accuracy for Solving the Time-Fractional Dual-Phase-Lagging Nanoscale Heat Conduction Equation

  Cui-Cui Ji, Weizhong Dai

  2023-04-10

  DOI:10.4208/nmtma.OA-2022-0050

  40775 9016503 pp. 511-540

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  2020-10-09

  DOI:10.4208/nmtma.OA-2020-0039

  48462 4318 pp. 71-112

• The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

  Jinye Shen, Xuping Wang, Zhi-zhong Sun

  2020-03-06

  DOI:10.4208/nmtma.OA-2019-0038

  46119 4466 pp. 253-280

• Convergence Analysis of the Legendre Spectral Collocation Methods for Second Order Volterra Integro-Differential Equations

  Yunxia Wei, Yanping Chen

  2011-04-01

  DOI:10.4208/nmtma.2011.m1028

  39674 4179 pp. 419-438

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  DOI:10.4208/nmtma.OA-2024-0081

  7082 769 pp. 127-156

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  DOI:10.4208/nmtma.OA-2023-0163

  21245 1781 pp. 514-533

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  DOI:10.4208/nmtma.OA-2021-0100

  48030 2785 pp. 862-892