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  • 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
  • A Lowest-Order Mixed Finite Element Method for the Elastic Transmission Eigenvalue Problem

    Yingxia Xi, Xia Ji
    2020-07-21
    47228 3099 Pages:1105-1132
  • A Family of Characteristic Discontinuous Galerkin Methods for Transient Advection-Diffusion Equations and Their Optimal-Order L2 Error Estimates

    Kaixin Wang, Hong Wang, Mohamed Al-Lawatia & Hongxing Rui
    2009-06-01
    70 42 Pages:203-230
  • Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

    Yong-Tao Zhang & Chi-Wang Shu
    2018-04-11
    42998 3863 Pages:836-848
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekström & Jan Nordström
    2018-04-11
    41752 3542 Pages:456-468
  • Fourth Order Exponential Time Differencing Method with Local Discontinuous Galerkin Approximation for Coupled Nonlinear Schrödinger Equations

    X. Liang, A. Q. M. Khaliq & Y. Xing
    2020-07-30
    39930 2985 Pages:510-541
  • A Multiple Temperature Kinetic Model and Its Application to Near Continuum Flows

    Kun Xu & Hongwei Liu
    2008-11-05
    36780 4044 Pages:1069-1085
  • A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

    Liwei Tan, Minsheng Huang, Wenjun Ying
    2024-09-06
    186 67 Pages:485-520
  • Continuous Finite Element Subgrid Basis Functions for Discontinuous Galerkin Schemes on Unstructured Polygonal Voronoi Meshes

    Walter Boscheri, Michael Dumbser, Elena Gaburro
    2022-07-06
    42146 3668 Pages:259-298
  • Enforcing the Discrete Maximum Principle for Linear Finite Element Solutions of Second-Order Elliptic Problems

    Richard Liska & Mikhail Shashkov
    2008-03-01
    37890 4103 Pages:852-877
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    49858 4428 Pages:97-123
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    49083 3851 Pages:94-130
  • Discrete Image Approximations of Ionic Solvent Induced Reaction Field to Charges

    S. Deng & W. Cai
    2007-02-01
    37134 3756 Pages:1007-1026
  • A High Order Spectral Volume Formulation for Solving Equations Containing Higher Spatial Derivative Terms II: Improving the Third Derivative Spatial Discretization Using the LDG2 Method

    Ravi Kannan
    2012-12-01
    40315 3819 Pages:767-788
  • Variational Low-Light Image Enhancement Based on Fractional-Order Differential

    Qianting Ma, Yang Wang, Tieyong Zeng
    2024-01-31
    28648 2620 Pages:139-159
  • First-Order System Least-Squares Methods for a Flux Control Problem by the Stokes Flow

    Soorok Ryu, Sang Dong Kim & Hyung-Chun Lee
    2010-07-01
    38479 3873 Pages:738-758
  • Error Analysis of the Supplementary Variable Method for the Allen-Cahn Model

    Xuehua Song, Binquan Ji, Yuezheng Gong, Yushun Wang
    2025-08-23
    5916 407 Pages:684-710
  • Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

    Guillaume Fenger, Olivier Goubet, Youcef Mammeri
    2019-08-27
    47064 3645 Pages:1397-1414
  • An Adaptive High Order WENO Solver for Conservation Laws

    Cheng Liu & Changhong Hu
    2019-04-28
    46620 3441 Pages:719-748
  • Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates

    Yong Liu, Qingyuan Liu, Yuan Liu, Chi-Wang Shu & Mengping Zhang
    2019-04-28
    48553 3302 Pages:631-653
  • Second Order Finite Volume Scheme for Euler Equations with Gravity which is Well-Balanced for General Equations of State and Grid Systems

    Jonas P. Berberich, Praveen Chandrashekar, Christian Klingenberg & Friedrich K. Röpke
    2019-04-04
    49579 3340 Pages:599-630
  • A Posteriori Error Estimates for the Weak Galerkin Finite Element Methods on Polytopal Meshes

    Hengguang Li, Lin Mu & Xiu Ye
    2019-04-04
    46773 3326 Pages:558-578
  • Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

    Chong Sun & Yinhua Xia
    2019-04-04
    46021 3329 Pages:531-557
  • The Gaussian Wave Packet Transform for the Semi-Classical Schrödinger Equation with Vector Potentials

    Zhennan Zhou & Giovanni Russo
    2019-04-04
    47304 5408 Pages:469-505 Open-access
  • A Targeted ENO Scheme as Implicit Model for Turbulent and Genuine Subgrid Scales

    Lin Fu, Xiangyu Hu & Nikolaus A. Adams
    2019-04-04
    49180 3288 Pages:311-345
  • A Second-Order Two-Scale Algorithm for Thermo-Mechanical Coupling Problems in Quasi-Periodic Porous Materials

    Zhiqiang Yang, Yi Sun, Junzhi Cui, Tianyu Guan & Zifeng Yuan
    2018-12-08
    48238 3408 Pages:1144-1176
  • Superconvergence for Triangular Linear Edge Elements

    Chao Wu, Yunqing Huang, Wenying Lu, Zhiguang Xiong & Jinyun Yuan
    2018-12-08
    47852 3398 Pages:1045-1070
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