Search Results

• High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

  Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang & Yifeng Zhang

  2020-07-31

  40538 4823 Pages:1081-1102 Open-access

• 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

  8899 475 Pages:1327-1357

• Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

  Jun Luo, Lijun Xuan & Kun Xu

  2013-09-05

  40614 4609 Pages:599-620

• Relaxation Exponential Runge-Kutta Methods and Their Applications to Semilinear Dissipative/Conservative Systems

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  22868 1342 Pages:908-942

• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42128 4813 Pages:1-46 Open-access

• High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

  Jun Zhu, Chi-Wang Shu, Jianxian Qiu

  2021-02-25

  45738 3295 Pages:1030-1058

• High Order Fixed-Point Sweeping WENO Methods for Steady State of Hyperbolic Conservation Laws and Its Convergence Study

  Liang Wu, Yong-Tao Zhang, Shuhai Zhang & Chi-Wang Shu

  2018-04-04

  40482 3195 Pages:835-869

• 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

  47691 3101 Pages:1150-1184

• Variable High-Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows, Part II: Hypersonic Nonequilibrium Flows

  Andrea Lani, Björn Sjögreen, H. C. Yee & William D. Henshaw

  2018-03-27

  38743 3949 Pages:583-602

• Structure-Preserving SAV-RK$s$ Spectral Methods for Nonlinear Hamiltonian System

  Jie Shen, Lianpeng Xue, Qifeng Zhang

  2026-01-03

  1767 120 Pages:661-695

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

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

  2021-07-01

  49448 3261 Pages:666-708

• The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

  Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang

  2025-07-11

  5266 571 Pages:37-73

• Fast Numerical Methods for Stochastic Computations: A Review

  Dongbin Xiu

  2018-04-11

  44202 4552 Pages:242-272

• Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

  Maria Han Veiga, David A. Velasco-Romero, Rémi Abgrall & Romain Teyssier

  2019-02-25

  46143 5220 Pages:1-34

• Variations on Hermite Methods for Wave Propagation

  Arturo Vargas, Jesse Chan, Thomas Hagstrom & Timothy Warburton

  2018-04-09

  42040 3385 Pages:303-337

• Stability of Projection Methods for Incompressible Flows Using High Order Pressure-Velocity Pairs of Same Degree: Continuous and Discontinuous Galerkin Formulations

  E. Ferrer, D. Moxey, R. H. J. Willden & S. J. Sherwin

  2014-12-08

  39549 4078 Pages:817-840

• Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

  Björn Sjögreen & H. C. Yee

  2018-04-11

  41279 3400 Pages:730-744

• Numerical Issues in the Implementation of High Order Polynomial Multi-Domain Penalty Spectral Galerkin Methods for Hyperbolic Conservation Laws

  Sigal Gottlieb & Jae-Hun Jung

  2018-04-11

  41066 3595 Pages:600-619

• A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms

  Y. Xing & C.-W. Shu

  2018-03-22

  41853 4518 Pages:100-134

• 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

  37639 3099 Pages:615-656

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

  Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker

  2012-11-01

  42162 3946 Pages:863-892

• High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46148 3482 Pages:370-397

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

  Minghua Chen & Weihua Deng

  2014-08-03

  42270 4269 Pages:516-540

• Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

  Ruihan Guo, Yan Xu

  2019-07-02

  49455 3145 Pages:1224-1248

• 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

  48649 3333 Pages:631-653

• 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

  6319 430 Pages:729-765

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

  Shengqi Zhang, Zhenhua Xia, Shiyi Chen

  2020-11-26

  45960 4614 Pages:128-147