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  • A Fast Fully Discrete Mixed Finite Element Scheme for Fractional Viscoelastic Models of Wave Propagation

    Hao Yuan, Xiaoping Xie
    2025-12-17
    DOI:10.4208/nmtma.OA-2025-0030
    491 220 pp. 129-154
  • Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes

    M. Esmaeilzadeh, R.M. Barron
    2022-07-19
    DOI:10.4208/nmtma.OA-2021-0129
    38627 2839 pp. 819-850
  • An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

    Qing Yang, Yirang Yuan
    2015-08-01
    DOI:10.4208/nmtma.2015.my12031
    39041 2742 pp. 356-382
  • 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
  • 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
  • The Method of Fundamental Solutions for Optical Fluorescence Tomography

    Andreas Karageorghis, Daniel Lesnic
    2026-01-14
    DOI:10.4208/nmtma.OA-2025-0101
    450 177 pp. 219-239
  • Numerical Integration Formulas for Hypersingular Integrals

    Kholmat M. Shadimetov, Dilshod M. Akhmedov
    2024-08-30
    DOI:10.4208/nmtma.OA-2024-0028
    17742 1524 pp. 805-826
  • FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

    Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan
    2019-10-12
    DOI:10.4208/nmtma.OA-2018-0126
    44376 2634 pp. 1246-1265
  • Proximal ADMM for Euler's Elastica Based Image Decomposition Model

    Zhifang Liu, Samad Wali, Yuping Duan, Huibin Chang, Chunlin Wu, Xue-Cheng Tai
    2018-12-17
    DOI:10.4208/nmtma.OA-2017-0149
    44479 3010 pp. 370-402
  • Error Splitting Preservation for High Order Finite Difference Schemes in the Combination Technique

    Christian Hendricks, Matthias Ehrhardt, Michael Guenther
    2017-10-01
    DOI:10.4208/nmtma.2017.m1511
    38301 2624 pp. 689-710
  • Mixed Finite Element Methods for Fourth Order Elliptic Optimal Control Problems

    K. Manickam, P. Prakash
    2016-09-01
    DOI:10.4208/nmtma.2016.m1405
    39984 2883 pp. 528-548
  • 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 Staggered Discontinuous Galerkin Method with Local TV Regularization for the Burgers Equation

    Hiu Ning Chan, Eric T. Chung
    2015-08-01
    DOI:10.4208/nmtma.2015.m1238
    39215 2775 pp. 451-474
  • Review of Methods Inspired by Algebraic-Multigrid for Data and Image Analysis Applications

    Meirav Galun, Ronen Basri, Irad Yavneh
    2020-11-10
    DOI:10.4208/nmtma.2015.w14si
    39468 2656 pp. 283-312
  • 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
  • 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
  • A Projected Algebraic Multigrid Method for Linear Complementarity Problems

    Jari Toivanen, Cornelis W. Oosterlee
    2012-05-01
    DOI:10.4208/nmtma.2011.m12si05
    40633 4609 pp. 85-98 Open Access
  • Multigrid Solution of a Lavrentiev-Regularized State-Constrained Parabolic Control Problem

    Alfio Borzi, Sergio Gonzalez Andrade
    2012-05-01
    DOI:10.4208/nmtma.2011.m12si01
    41075 4551 pp. 1-18 Open Access
  • Higher Order Triangular Mixed Finite Element Methods for Semilinear Quadratic Optimal Control Problems

    Kang Deng, Yanping Chen, Zuliang Lu
    2011-04-01
    DOI:10.4208/nmtma.2011.42s.4
    40417 3691 pp. 180-196
  • Advances in Studies and Applications of Centroidal Voronoi Tessellations

    Qiang Du, Max Gunzburger, Lili Ju
    2010-03-01
    DOI:10.4208/nmtma.2010.32s.1
    44362 4696 pp. 119-142 Open Access
  • 3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization

    Tiril P. Gurholt, Xuecheng Tai
    2009-02-01
    DOI:10.4208/nmtma.2009.m9003s
    41227 4031 pp. 403-420
  • A Compound Algorithm of Denoising Using Second-Order and Fourth-Order Partial Differential Equations

    Qianshun Chang, Xuecheng Tai, Lily Xing
    2009-02-01
    DOI:10.4208/nmtma.2009.m9001s
    41576 3881 pp. 353-376
  • The Partition of Unity Method for High-Order Finite Volume Schemes Using Radial Basis Functions Reconstruction

    Serena Morigi, Fiorella Sgallari
    2009-02-01
    39395 3865 pp. 153-179
  • A Parallel Algorithm for Adaptive Local Refinement of Tetrahedral Meshes Using Bisection

    Lin-Bo Zhang
    2018-08-14
    39878 4661 pp. 65-89
  • Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach

    J. Brannick, C. Liu, T. Qian, H. Sun
    2020-11-10
    DOI:10.4208/nmtma.2015.w12si
    39544 2709 pp. 220-236
  • 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
  • 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
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