Search Results

• 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

• On Arbitrary-Lagrangian-Eulerian One-Step WENO Schemes for Stiff Hyperbolic Balance Laws

  Michael Dumbser, Ariunaa Uuriintsetseg & Olindo Zanotti

  2014-08-05

  41063 4125 Pages:301-327

• High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

  Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li & Yuqiu Gu

  2013-08-05

  43608 4699 Pages:1134-1150 Open-access

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

  Ravi Kannan & Zhijian Wang

  2012-12-01

  40743 4631 Pages:247-260

• On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

  Rui Zhang, Mengping Zhang & Chi-Wang Shu

  2011-03-05

  39837 4256 Pages:807-827

• An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids

  Takanori Haga, Keisuke Sawada & Z. J. Wang

  2020-07-30

  39378 4166 Pages:978-996

• An Efficient Time-Splitting Method to Simulate the Dynamics of Spin-Orbit Coupled Spin-1 Bose-Einstein Condensates

  Xiaolan Chen, Yongjun Yuan, Yong Zhang

  2025-11-07

  2623 90 Pages:119-146

• High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

  Guanlan Huang, Yulong Xing, Tao Xiong

  2025-09-05

  3486 291 Pages:1130-1172

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

  Dongfang Li, Xiaoxi Li, Jiang Yang

  2024-10-29

  192 80 Pages:908-942

• 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

  207 54 Pages:975-1007

• Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs

  Tao Kong, Weidong Zhao & Tao Zhou

  2020-07-30

  39282 3341 Pages:1482-1503

• High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment

  Cheng Wang, Jianxu Ding, Sirui Tan & Wenhu Han

  2020-07-30

  39750 3351 Pages:1264-1281

• High Order Finite Difference Discretization for Composite Grid Hierarchy and Its Applications

  Qun Gu, Weiguo Gao, Carlos J. García-Cervera

  2020-07-30

  41764 3408 Pages:1211-1233

• 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

  40369 3053 Pages:337-370

• Modified Upwinding Compact Scheme for Shock and Shock Boundary Layer Interaction

  Chaoqun Liu, Ping Lu, Maria Oliveira & Peng Xie

  2012-11-01

  43862 3066940 Pages:1022-1042

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

  Jun Zhu & Jianxian Qiu

  2012-11-01

  42437 4136 Pages:985-1005

• Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

  Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven

  2011-10-01

  38283 4566 Pages:433-452

• 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

• Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

  Jiahui Zhang, Yinhua Xia, Yan Xu

  2025-07-11

  5123 476 Pages:109-155

• Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements

  Chunyu Chen, Long Chen, Xuehai Huang, Huayi Wei

  2024-05-06

  27459 1928 Pages:1045-1072

• Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

  Zhenming Wang, Jun Zhu, Linlin Tian, Ning Zhao

  2024-04-10

  24879 2145 Pages:609-632

• 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

• On the Monotonicity of $Q^2$ Spectral Element Method for Laplacian on Quasi-Uniform Rectangular Meshes

  Logan J. Cross, Xiangxiong Zhang

  2024-01-31

  28284 2560 Pages:160-180

• Sixth-Order Compact Finite Difference Method for 2D Helmholtz Equations with Singular Sources and Reduced Pollution Effect

  Qiwei Feng, Bin Han, Michelle Michelle

  2023-10-07

  35722 2736 Pages:672-712

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

  Shamsulhaq Basir

  2023-06-06

  41484 2933 Pages:1240-1269

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

  Hojun You, Juhyun Kim, Chongam Kim

  2023-05-12

  36016 2932 Pages:992-1034

• A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems

  Weiwen Wang, Chuanju Xu

  2023-03-13

  40289 3292 Pages:477-510