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  • Relaxation Schemes for the $M_1$ Model with Space-Dependent Flux: Application to Radiotherapy Dose Calculation

    Teddy Pichard, Denise Aregba-Driollet, Stéphane Brull, Bruno Dubroca, Martin Frank
    2018-04-03
    40156 4399 Pages:168-191
  • Piecewise Polynomial Mapping Method and Corresponding WENO Scheme with Improved Resolution

    Qin Li, Pengxin Liu & Hanxin Zhang
    2020-07-30
    39798 3257 Pages:1417-1444
  • Laplacian Preconditioning for the Inverse Arnoldi Method

    Laurette S. Tuckerman
    2020-07-30
    40635 3422 Pages:1336-1351
  • Fast Solver for the Local Discontinuous Galerkin Discretization of the KdV Type Equations

    Ruihan Guo, Yan Xu
    2020-07-30
    40379 3124 Pages:424-457
  • Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

    Alan R. Schiemenz, Marc A. Hesse, Jan S. Hesthaven
    2011-10-01
    38420 4623 Pages:433-452
  • A Spectral Element Implementation for the M3D Extended MHD Code

    H. R. Strauss, B. Hientzsch, J. Chen
    2008-09-05
    39395 3908 Pages:506-518
  • A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

    Lizuo Liu, Kamaljyoti Nath, Wei Cai
    2024-06-14
    36420 1892 Pages:1194-1228
  • The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller-Segel-Navier-Stokes Model

    Ping Zeng, Guanyu Zhou
    2024-05-06
    28105 2088 Pages:1073-1119
  • A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

    Philipp Krah, Xi-Yuan Yin, Julius Bergmann, Jean-Christophe Nave, Kai Schneider
    2024-05-06
    35119 2693 Pages:905-937
  • Multilevel Constrained Pressure-Temperature Residual Preconditioners for Large-Scale Non-Isothermal Reservoir Simulation via Restricted Additive Schwarz Algorithms

    Mei Zhang, Haijian Yang, Chao Yang, Shuyu Sun
    2023-10-07
    34376 2818 Pages:837-868
  • Numerical Solutions of the Electromagnetic Scattering by Overfilled Cavities with Inhomogeneous Anisotropic Media

    Meiling Zhao, Jiahui He, Liqun Wang
    2023-09-04
    31740 2649 Pages:530-562
  • Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

    Shamsulhaq Basir
    2023-06-06
    41851 3030 Pages:1240-1269
  • An Iterative Thresholding Method for the Minimum Compliance Problem

    Luyu Cen, Wei Hu, Dong Wang, Xiaoping Wang
    2023-05-12
    36334 2966 Pages:1189-1216
  • Efficient Splitting Methods Based on Modified Potentials: Numerical Integration of Linear Parabolic Problems and Imaginary Time Propagation of the Schrödinger Equation

    Sergio Blanes, Fernando Casas, Cesáreo González, Mechthild Thalhammer
    2023-05-12
    35813 3058 Pages:937-961
  • Two Physics-Based Schwarz Preconditioners for Three-Temperature Radiation Diffusion Equations in High Dimensions

    Xiaoqiang Yue, Jianmeng He, Xiaowen Xu, Shi Shu, Libo Wang
    2022-09-29
    41791 3334 Pages:829-849
  • Monotonicity Correction for the Finite Element Method of Anisotropic Diffusion Problems

    Boyang Yu, Hongtao Yang, Yonghai Li, Guangwei Yuan
    2022-05-06
    45189 3298 Pages:1489-1524
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45443 3203 Pages:913-946
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48627 3228 Pages:1037-1060
  • Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

    Guo-Dong Zhang, Xiaofeng Yang
    2021-07-01
    48535 3329 Pages:771-798
  • Adaptive Order WENO Reconstructions for the Semi-Lagrangian Finite Difference Scheme for Advection Problem

    Jiajie Chen, Xiaofeng Cai, Jianxian Qiu, Jing-Mei Qiu
    2021-04-30
    48678 4393 Pages:67-96
  • Algebraic Multigrid Block Preconditioning for Multi-Group Radiation Diffusion Equations

    Xiaoqiang Yue, Shulei Zhang, Xiaowen Xu, Shi Shu, Weidong Shi
    2021-01-13
    46016 3275 Pages:831-852
  • On the Convergence of Physics Informed Neural Networks for Linear Second-Order Elliptic and Parabolic Type PDEs

    Yeonjong Shin, Jérôme Darbon, George Em Karniadakis
    2020-11-18
    89530 4611 Pages:2042-2074
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    70593 3842 Pages:1707-1745
  • Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

    Chengliang Feng, Tiegang Liu, Liang Xu, Changsheng Yu
    2020-06-05
    49787 3454 Pages:621-660
  • A Weighted Runge-Kutta Discontinuous Galerkin Method for 3D Acoustic and Elastic Wave-Field Modeling

    Xijun He, Dinghui Yang, Xiao Ma
    2020-06-05
    49705 4602 Pages:372-400
  • Linear Wavefield Optimization Using a Modified Source

    Tariq Alkhalifah
    2020-06-05
    50296 4386 Pages:276-296
  • A Decoupled and Positivity-Preserving DDFVS Scheme for Diffusion Problems on Polyhedral Meshes

    Qiannan Dong, Shuai Su, Jiming Wu
    2020-05-06
    50301 3700 Pages:1378-1412
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