Search Results

• Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

  Minghua Chen & Weihua Deng

  2014-08-03

  42181 4236 Pages:516-540

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  195 57 Pages:1327-1357

• Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

  Shu-Cun Li, Huazhong Tang

  2021-08-10

  47581 3080 Pages:1150-1184

• A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

  Raphaël Loubère, Michael Dumbser & Steven Diot

  2014-12-08

  39523 3826 Pages:718-763

• A High-Order Central ENO Finite-Volume Scheme for Three-Dimensional Low-Speed Viscous Flows on Unstructured Mesh

  Marc R. J. Charest, Clinton P. T. Groth & Pierre Q. Gauthier

  2018-04-02

  37580 3079 Pages:615-656

• High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

  Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker

  2012-11-01

  42106 3911 Pages:863-892

• A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

  Jun Zhu, Jianxian Qiu

  2020-07-30

  44777 3830 Pages:897-920

• High-Order Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for Euler Equations with Gravitation on Unstructured Meshes

  Weijie Zhang, Yulong Xing, Yinhua Xia, Yan Xu

  2022-03-03

  47752 3186 Pages:771-815

• High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

  Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu

  2019-08-27

  47125 3309 Pages:1530-1574

• A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method

  Fang Qing, Xijun Yu, Zupeng Jia, Meilan Qiu, Xiaolong Zhao

  2020-08-27

  50026 3238 Pages:1464-1501

• A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

  Baifen Ren, Zhen Gao, Yaguang Gu, Shusen Xie, Xiangxiong Zhang

  2024-03-13

  25510 2118 Pages:524-552

• High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

  Liang Pan, Kun Xu

  2020-08-27

  48934 3260 Pages:1321-1351

• Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-03-13

  24879 2091 Pages:498-523

• High Order Discretely Well-Balanced Methods for Arbitrary Hydrostatic Atmospheres

  Jonas P. Berberich, Roger Käppeli, Praveen Chandrashekar, Christian Klingenberg

  2021-07-01

  49358 3217 Pages:666-708

• A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

  Jun Yang, Wei Cai & Xiaoping Wu

  2018-04-09

  43107 3303 Pages:1065-1089

• A CFD-Aided Galerkin Method for Global Linear Instability Analysis

  Shengqi Zhang, Zhenhua Xia, Shiyi Chen

  2020-11-26

  45874 4526 Pages:128-147

• Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

  Meng Li, Yihang Guo, Jingjiang Bi

  2025-08-23

  5837 370 Pages:729-765

• High-Order Schemes Combining the Modified Equation Approach and Discontinuous Galerkin Approximations for the Wave Equation

  Cyril Agut, Julien Diaz & Abdelaâziz Ezziani

  2020-07-31

  38998 3954 Pages:691-708

• Approximate Riemann Solvers and Robust High-Order Finite Volume Schemes for Multi-Dimensional Ideal MHD Equations

  Franz Georg Fuchs, Andrew D. McMurry, Siddhartha Mishra, Nils Henrik Risebro & Knut Waagan

  2018-03-27

  37891 3741 Pages:324-362

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo & Yan Xu

  2019-02-25

  50135 5247 Pages:87-113

• 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

• Improving the High Order Spectral Volume Formulation Using a Diffusion Regulator

  Ravi Kannan & Zhijian Wang

  2012-12-01

  40743 4631 Pages:247-260

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48449 3215 Pages:973-1007

• Isogeometric Analysis with Proper Orthogonal Decomposition for Elastodynamics

  Richen Li, Qingbiao Wu, Shengfeng Zhu

  2021-05-25

  48273 3293 Pages:396-422

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50564 3535 Pages:1335-1364

• 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 Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

  Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo

  2018-04-09

  42252 3251 Pages:1231-1257