Search Results

• 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

  9025 504 Pages:1327-1357

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

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46271 3540 Pages:370-397

• 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

  47791 3143 Pages:1150-1184

• An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

  Junlei Mu, Congshan Zhuo, Qingdian Zhang, Sha Liu, Chengwen Zhong

  2024-04-10

  24803 2133 Pages:662-692

• 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

  47991 3248 Pages:771-815

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

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

  2021-07-01

  49546 3302 Pages:666-708

• A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

  Na Liu, Huazhong Tang

  2020-07-31

  41542 3992 Pages:911-943

• 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

  41169 3627 Pages:600-619

• 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

  50875 3663 Pages:1335-1364

• Approximation of H(div) with High-Order Optimal Finite Elements for Pyramids, Prisms and Hexahedra

  Morgane Bergot, Marc Durufle

  2013-11-05

  40156 3980 Pages:1372-1414

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

  Jun Zhu, Jianxian Qiu

  2020-07-30

  44988 3883 Pages:897-920

• Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation

  Nadir-Alexandre Messaï, Sebastien Pernet, Abdesselam Bouguerra

  2022-05-06

  43790 3224 Pages:1585-1635

• Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

  Kunmin Sung, Youngsoo Ha, Myungjoo Kang

  2020-02-23

  50186 3380 Pages:949-975

• On the Construction of Well-Conditioned Hierarchical Bases for $\mathcal{H}(div)$-Conforming $\mathbb{R}^n$ Simplicial Elements

  Jianguo Xin, Wei Cai, Nailong Guo

  2013-09-05

  39900 4082 Pages:621-638

• A Node-Centered Artificial Viscosity Method for Two-Dimensional Lagrangian Hydrodynamics Calculations on a Staggered Grid

  A. Burbeau-Augoula

  2010-08-01

  39369 3837 Pages:877-900

• Simulation of Earthquake Rupture Dynamics in Complex Geometries Using Coupled Finite Difference and Finite Volume Methods

  Ossian O'Reilly, Jan Nordström, Jeremy E. Kozdon, Eric M. Dunham

  2020-07-30

  40501 3107 Pages:337-370

• A Parallel Computational Model for Three-Dimensional, Thermo-Mechanical Stokes Flow Simulations of Glaciers and Ice Sheets

  Wei Leng, Lili Ju, Max Gunzburger, Stephen Price

  2014-10-08

  42707 4283 Pages:1056-1080

• Numerical Regularized Moment Method for High Mach Number Flow

  Zhenning Cai, Ruo Li, Yanli Wang

  2012-11-01

  42490 4092 Pages:1415-1438

• High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

  Michel Fournie, Alain Rigal

  2011-09-01

  38272 3893 Pages:994-1019

• Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

  Mingzhu Zhang, Lijun Yi

  2024-04-10

  24108 2140 Pages:816-858

• High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

  Yupeng Ren, Yulong Xing, Jianxian Qiu

  2021-12-06

  47625 3925 Pages:154-187

• A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

  Kailiang Wu, Dongbin Xiu, Xinghui Zhong

  2021-05-25

  49108 3204 Pages:423-447

• Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

  Qian Zhang, Yan Xu, Chi-Wang Shu

  2021-05-25

  50986 3313 Pages:321-356

• A High Order Central DG Method of the Two-Layer Shallow Water Equations

  Yongping Cheng, Haiyun Dong, Maojun Li, Weizhi Xian

  2020-08-27

  49146 3229 Pages:1437-1463

• An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

  Jian Cheng, Shengjiao Yu, Huiqiang Yue, Tiegang Liu

  2019-04-28

  47134 3261 Pages:855-879

• 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

  48754 3372 Pages:631-653

• Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

  Yonggui Yan, Zhi-Zhong Sun, Jiwei Zhang

  2017-10-02

  44559 3497 Pages:1028-1048