Search Results

• High-Order Structure-Preserving Spectral Difference Methods for Hyperbolic Conservation Laws

  Yupeng Ren, Zhimin Zhang

  2026-01-18

  276 80 Pages:1059-1102

• 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

  47865 3213 Pages:771-815

• High-Order Spectral Simulation of Graphene Ribbons

  David P. Nicholls

  2019-08-27

  43504 3175 Pages:1575-1596

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice & Michael Dumbser

  2018-10-11

  46741 3544 Pages:311-346

• High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

  Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang

  2020-07-31

  38285 2942 Pages:1012-1049

• Graph-Based Methods for Hyperbolic Systems of Conservation Laws Using Discontinuous Space Discretizations

  Martin Kronbichler, Matthias Maier, Ignacio Tomas

  2025-07-11

  5244 600 Pages:74-108

• 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

  24006 2091 Pages:816-858

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo & Yan Xu

  2018-09-17

  67756 5453 Pages:123-151

• Nonlinear Stochastic Galerkin and Collocation Methods: Application to a Ferromagnetic Cylinder Rotating at High Speed

  Eveline Rosseel, Herbert De Gersem & Stefan Vandewalle

  2010-08-01

  43201 4791 Pages:947-975 Open-access

• A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

  Jinyang Lu, Qi Tao, Yan Xu

  2025-04-27

  9293 537 Pages:975-1007

• Implicit Quadrature-Free Direct Reconstruction Method for Efficient Scale-Resolving Simulations

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36140 2956 Pages:992-1034

• A Study of Several Artificial Viscosity Models within the Discontinuous Galerkin Framework

  Jian Yu, Jan S. Hesthaven

  2020-05-06

  54695 4044 Pages:1309-1343

• Two Kinds of New Energy-Preserving Schemes for the Coupled Nonlinear Schrödinger Equations

  Mingzhan Song, Xu Qian, Hong Zhang, Jingmin Xia & Songhe Song

  2018-12-08

  49760 3564 Pages:1127-1143

• Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

  Shuangzhang Tu, Gordon W. Skelton & Qing Pang

  2012-11-01

  38646 4041 Pages:1503-1524

• High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

  D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen

  2018-04-03

  41525 3292 Pages:273-300

• High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

  Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong

  2022-03-03

  45318 3173 Pages:913-946

• 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

  47500 3849 Pages:154-187

• Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

  Chong Sun & Yinhua Xia

  2019-04-04

  46103 3346 Pages:531-557

• Semi-Eulerian and High Order Gaussian Beam Methods for the Schrödinger Equation in the Semiclassical Regime

  Shi Jin, Hao Wu & Xu Yang

  2011-03-05

  39365 4215 Pages:668-687

• Numerical Simulation for a Droplet Fission Process of Electrowetting on Dielectric Device

  Dongdong He, Huaxiong Huang & Yongji Tan

  2010-07-01

  38732 4274 Pages:1076-1094

• Simulations of Compressible Two-Medium Flow by Runge-Kutta Discontinuous Galerkin Methods with the Ghost Fluid Method

  Jianxian Qiu, Tiegang Liu & Boo Cheong Khoo

  2018-03-24

  39528 3879 Pages:479-504

• 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

  40424 3071 Pages:337-370

• Runge-Kutta Discontinuous Galerkin Method Using WENO-Type Limiters: Three-Dimensional Unstructured Meshes

  Jun Zhu & Jianxian Qiu

  2012-11-01

  42498 4175 Pages:985-1005

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41665 2977 Pages:1240-1269

• High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

  Jian Deng, Cristina Anton & Yau Shu Wong

  2014-07-06

  41301 4256 Pages:169-200

• High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

  Nan Zhang, Zhiping Mao, Tao Xiong

  2023-01-24

  38963 3127 Pages:1474-1509

• 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

  49202 3913 Pages:94-130