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  • Adaptive Mixed GMsFEM for Flows in Heterogeneous Media

    Ho Yuen Chan, Eric Chung, Yalchin Efendiev
    2016-09-01
    DOI:10.4208/nmtma.2016.m1603
    40372 4020 pp. 497-527 Open Access
  • An $h$-Adaptive Runge-Kutta Discontinuous Galerkin Method for Hamilton-Jacobi Equations

    Hongqiang Zhu, Jianxian Qiu
    2013-06-01
    DOI:10.4208/nmtma.2013.1235nm
    40145 3989 pp. 617-636
  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis, A. S. Fokas
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0017
    43254 2973 pp. 348-369
  • 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
  • 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
  • A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

    Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu
    2020-10-09
    DOI:10.4208/nmtma.OA-2020-0072
    47671 3788 pp. 219-241
  • 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
  • An Adaptive Uniaxial Perfectly Matched Layer Method for Time-Harmonic Scattering Problems

    Zhiming Chen, Xinming Wu
    2008-01-01
    39018 3687 pp. 113-137
  • An Adaptive Nonmonotone Projected Barzilai-Borwein Gradient Method with Active Set Prediction for Nonnegative Matrix Factorization

    Jicheng Li, Wenbo Li, Xuenian Liu
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0028
    43540 2723 pp. 516-538
  • Convergence and Quasi-Optimality of an Adaptive Multi-Penalty Discontinuous Galerkin Method

    Zhenhua Zhou, Haijun Wu
    2016-09-01
    DOI:10.4208/nmtma.2015.m1412
    39080 4335 pp. 51-86
  • Two Globally Convergent Hybrid CG Methods with Adaptive Restart Strategy for Riemannian Optimization

    Yun Wang, Meixuan Jiang, Hu Shao, Xiaoquan Wang, Ting Wu
    2025-10-22
    DOI:10.4208/nmtma.OA-2024-0030
    5590 349 pp. 1100-1124
  • A Numerical Study of Blowup in the Harmonic Map Heat Flow Using the MMPDE Moving Mesh Method

    Ronald D. Haynes, Weizhang Huang, Paul A. Zegeling
    2013-06-01
    DOI:10.4208/nmtma.2013.1130nm
    39386 3651 pp. 364-383
  • 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
  • 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
  • Positivity-Preserving Runge-Kutta Discontinuous Galerkin Method on Adaptive Cartesian Grid for Strong Moving Shock

    Jianming Liu, Jianxian Qiu, Mikhail Goman, Xinkai Li, Meilin Liu
    2016-09-01
    DOI:10.4208/nmtma.2015.m1416
    39051 4214 pp. 87-110
  • Error Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0110
    45919 2924 pp. 372-399
  • 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
  • An Adaptive Hybrid Spectral Method for Stochastic Helmholtz Problems

    Guanjie Wang, Qifeng Liao
    2020-12-02
    DOI:10.4208/nmtma.OA-2019-0101
    50831 3047 pp. 1007-1026
  • Computing Residual Diffusivity by Adaptive Basis Learning via Spectral Method

    Jiancheng Lyu, Jack Xin, Yifeng Yu
    2020-11-03
    DOI:10.4208/nmtma.2017.s08
    47718 2851 pp. 351-372
  • A Splitting Scheme for the Numerical Solution of the KWC System

    R. H. W. Hoppe, J. J. Winkle
    2019-04-22
    DOI:10.4208/nmtma.OA-2018-0050
    54523 3039 pp. 661-680
  • Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

    Xing Fu, J. Nathan Kutz
    2017-11-02
    DOI:10.4208/nmtma.2017.m1624
    39414 2690 pp. 872-894
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    DOI:10.4208/nmtma.OA-2022-0012
    39080 3030 pp. 662-678
  • A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

    Ruo Li, Fanyi Yang
    2021-09-10
    DOI:10.4208/nmtma.OA-2021-0042
    46407 2607 pp. 1042-1067
  • A Modified Polynomial Preserving Recovery and Its Applications to a Posteriori Error Estimates

    Haijun Wu
    2018-08-14
    DOI:10.4208/nmtma.2009.m9006
    39485 4236 pp. 53-78
  • Superconvergent Cluster Recovery Method for the Crouzeix-Raviart Element

    Yidan Zhang, Yaoyao Chen, Yunqing Huang, Nianyu Yi
    2021-01-26
    DOI:10.4208/nmtma.OA-2020-0117
    45418 2655 pp. 508-526
  • Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics

    Huazhong Tang, Kun Xu, Chunpei Cai
    2010-03-01
    DOI:10.4208/nmtma.2010.m9007
    42237 4109 pp. 387-404
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