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  • A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

    Fan Zhang, Tiegang Liu
    2022-09-29
    40876 3129 Pages:850-877
  • A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

    Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier, Stéphane Vincent
    2020-05-06
    50001 3378 Pages:1550-1589
  • On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

    Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti
    2014-08-05
    41063 4125 Pages:301-327
  • A Class of Second-Order Energy-Stable Schemes for the Cahn-Hilliard Equation and Their Linear Iteration Algorithm

    Xiaohan Zhu, Yuezheng Gong, Yushun Wang
    2025-09-05
    3420 288 Pages:1210-1236
  • A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices

    Dorothee Richters, Michael Lass, Andrea Walther, Christian Plessl & Thomas D. Kühne
    2018-10-11
    50738 3309 Pages:564-585
  • 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
    88478 4440 Pages:2042-2074
  • Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

    Yue Yan, Weijia Li, Wenbin Chen & Yanqiu Wang
    2018-09-17
    45851 3282 Pages:510-530
  • Numerical Integrators for Dispersion-Managed KdV Equation

    Ying He, Xiaofei Zhao
    2022-03-30
    51052 3142 Pages:1180-1214
  • A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

    Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise
    2021-12-06
    49256 4172 Pages:60-93 Open-access
  • Exponential Compact Higher Order Scheme for Nonlinear Steady Convection-Diffusion Equations

    Y. V. S. S. Sanyasiraju & Nachiketa Mishra
    2011-09-01
    38761 3824 Pages:897-916
  • An Implicit Algorithm for High-Order DG/FV Schemes for Compressible Flows on 2D Arbitrary Grids

    Laiping Zhang, Ming Li, Wei Liu & Xin He
    2018-04-02
    42575 4381 Pages:287-316
  • High Order Accurate Direct Arbitrary-Lagrangian-Eulerian ADER-MOOD Finite Volume Schemes for Non-Conservative Hyperbolic Systems with Stiff Source Terms

    Walter Boscheri, Raphaël Loubère
    2018-04-08
    41396 4639 Pages:271-312
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40413 3938 Pages:1174-1206
  • AUSM-Based High-Order Solution for Euler Equations

    Angelo L. Scandaliato & Meng-Sing Liou
    2012-12-01
    40855 4064 Pages:1096-1120
  • Higher-Order Compact Scheme for the Incompressible Navier-Stokes Equations in Spherical Geometry

    T. V. S. Sekhar, B. Hema Sundar Raju & Y. V. S. S. Sanyasiraju
    2012-11-01
    39546 4278 Pages:99-113
  • An All Speed Second Order IMEX Relaxation Scheme for the Euler Equations

    Andrea Thomann, Markus Zenk, Gabriella Puppo, Christian Klingenberg
    2020-06-05
    48674 3336 Pages:591-620
  • An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

    Takanori Haga, Keisuke Sawada & Z. J. Wang
    2020-07-30
    39378 4166 Pages:978-996
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    46158 3907 Pages:288-320
  • A Rate of Convergence of Physics Informed Neural Networks for the Linear Second Order Elliptic PDEs

    Yuling Jiao, Yanming Lai, Dingwei Li, Xiliang Lu, Fengru Wang, Yang Wang, Jerry Zhijian Yang
    2022-03-30
    51825 3084 Pages:1272-1295
  • General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

    Jianan Zeng, Wei Su, Lei Wu
    2023-08-14
    33585 3269 Pages:173-207
  • A Continuous Finite Element Method with Homotopy Vanishing Viscosity for Solving the Static Eikonal Equation

    Yong Yang, Wenrui Hao, Yong-Tao Zhang
    2022-05-06
    45461 3223 Pages:1402-1433
  • $C^0$IPG for a Fourth Order Eigenvalue Problem

    Xia Ji, Hongrui Geng, Jiguang Sun & Liwei Xu
    2018-04-03
    42362 3175 Pages:393-410
  • An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

    Peimeng Yin, Yunqing Huang & Hailiang Liu
    2014-08-03
    42236 4102 Pages:491-515
  • Finite Neuron Method and Convergence Analysis

    Jinchao Xu
    2020-11-18
    70207 3742 Pages:1707-1745
  • Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

    Morgane Bergot & Marc Duruflé
    2013-11-05
    39981 3927 Pages:1372-1414
  • The Bulk-Surface Virtual Element Method for Reaction-Diffusion PDEs: Analysis and Applications

    Massimo Frittelli, Anotida Madzvamuse, Ivonne Sgura
    2023-04-28
    32547 3098 Pages:733-763 Open-access
  • Error Control in Multi-Element Generalized Polynomial Chaos Method for Elliptic Problems with Random Coefficients

    Xiaoliang Wan & George Em Karniadakis
    2018-04-11
    41208 3549 Pages:793-820
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