Search Results

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

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2022-01-27

  46031 3436 Pages:370-397

• A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

  Karol Mikula, Daniel Ševčovič, Martin Balažovjech

  2010-07-01

  41031 4246 Pages:195-211

• 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

  39760 4020 Pages:621-638

• 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

  45191 3103 Pages:913-946

• 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

• Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

  Steven Britt, Semyon Tsynkov & Eli Turkel

  2011-03-05

  39104 4005 Pages:520-541

• Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

  Bo Feng, Ru-Shan Wu, Huazhong Wang

  2020-06-05

  52177 4765 Pages:98-110

• Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

  Jiayin Li, Chi-Wang Shu, Jianxian Qiu

  2022-08-11

  302871 3313 Pages:364-400

• 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

• A Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

  S. Deng & W. Cai

  2006-01-01

  38401 3746 Pages:744-764

• 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

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

  Ruihan Guo, Yan Xu

  2019-07-02

  49349 3127 Pages:1224-1248

• High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

  Kun Wang, Jian Cheng & Tiegang Liu

  2019-01-10

  47308 3891 Pages:1413-1445

• Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

  Jialin Lou, Xiaodong Liu, Hong Luo & Hiroaki Nishikawa

  2019-01-10

  50840 4033 Pages:1302-1327

• 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

• Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

  Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min & Huayong Liu

  2018-04-03

  39631 3017 Pages:673-706

• An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

  Jason P. Sheldon, Scott T. Miller & Jonathan S. Pitt

  2018-09-17

  45211 3752 Pages:1279-1299

• Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

  Jie Shen & Jie Xu

  2018-09-17

  48019 4743 Pages:635-654 Open-access

• High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

  Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng

  2018-08-21

  47875 3503 Pages:1355-1392

• 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 Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

  Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise

  2018-08-21

  51465 3299 Pages:572-602

• A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

  Yaguang Gu & Guanghui Hu

  2017-09-02

  44410 3179 Pages:829-851

• A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

  S. Qamar & G. Warnecke

  2006-01-01

  38364 3964 Pages:449-478

• A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

  Huiqiang Yue, Jian Cheng & Tiegang Liu

  2018-04-09

  42523 3218 Pages:375-392

• Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

  Xiaoling Liu & Chuanju Xu

  2018-04-09

  41834 3370 Pages:1408-1428

• High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

  Shangting Li, Huazhong Tang

  2025-08-08

  4416 398 Pages:538-574

• 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