Search Results

• A Hybrid Method with TENO Based Discontinuity Indicator for Hyperbolic Conservation Laws

  Lin Fu

  2019-07-02

  48712 3324 Pages:973-1007

• 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

  47129 3259 Pages:855-879

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo, Yan Xu

  2019-02-25

  50362 5366 Pages:87-113

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

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

  2019-02-25

  46250 5278 Pages:1-34

• A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

  Xin Liu

  2019-01-10

  45929 3931 Pages:1394-1412

• 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

  49848 3602 Pages:1127-1143

• On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential

  Xiaofeng Yang, Jia Zhao

  2018-11-09

  50246 3546 Pages:703-728

• A Hybrid Numerical Simulation of Supersonic Isotropic Turbulence

  Luoqin Liu, Jianchun Wang, Yipeng Shi, Shiyi Chen, X. T. He

  2018-09-01

  48155 7079 Pages:189-217

• Deep Learning-Based Reduced-Order Methods for Fast Transient Dynamics

  Martina Cracco, Giovanni Stabile, Andrea Lario, Armin Sheidani, Martin Larcher, Folco Casadei, Georgios Valsamos, Gianluigi Rozza

  2026-01-03

  2128 185 Pages:635-660

• A Positivity-Preserving Finite Volume Scheme for Heat Conduction Equation on Generalized Polyhedral Meshes

  Hui Xie, Xuejun Xu, Chuanlei Zhai, Heng Yong

  2018-09-17

  45204 3586 Pages:1375-1408

• Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems

  Yue Yan, Weijia Li, Wenbin Chen, Yanqiu Wang

  2018-09-17

  46053 3330 Pages:510-530

• Direct Numerical Simulation of an Open-Cell Metallic Foam Through Lattice Boltzmann Method

  Daniele Chiappini, Gino Bella, Alessio Festuccia, Alessandro Simoncini

  2018-04-03

  39293 3035 Pages:707-722

• Mixed Spectral Element Method for 2D Maxwell's Eigenvalue Problem

  Na Liu, Luis Tobón, Yifa Tang, Qing Huo Liu

  2020-07-30

  41827 3163 Pages:458-486

• High Order Finite Difference Methods with Subcell Resolution for Stiff Multispecies Discontinuity Capturing

  Wei Wang, Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov, Björn Sjögreen

  2020-07-30

  40972 3027 Pages:317-336

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

  Yan Xu, Chi-Wang Shu

  2010-07-01

  42249 4900 Pages:1-46 Open-access

• Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

  Yubin Lu, Chi-An Chen, Xiaofan Li, Chun Liu

  2024-06-14

  28001 1886 Pages:1352-1386

• A Second-Order Langevin Sampler Preserving Positive Volume for Isothermal–Isobaric Ensemble

  Lei Li, Yuzhou Peng

  2025-08-23

  6594 498 Pages:630-660

• A High-Order Time Domain Discontinuous Galerkin Method with Orthogonal Tetrahedral Basis for Electromagnetic Simulations in 3-D Heterogeneous Conductive Media

  Jun Yang, Wei Cai, Xiaoping Wu

  2018-04-09

  43260 3363 Pages:1065-1089

• A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

  Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang

  2025-07-11

  5368 890 Pages:181-222

• Construction of Symplectic Runge-Kutta Methods for Stochastic Hamiltonian Systems

  Peng Wang, Jialin Hong, Dongsheng Xu

  2018-04-08

  41483 4685 Pages:237-270

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang, Qiang Du

  2018-04-08

  42274 4914 Pages:16-39 Open-access

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

  Nan Zhang, Zhiping Mao, Tao Xiong

  2023-01-24

  39084 3175 Pages:1474-1509

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32917 3085 Pages:764-794

• A Well-Conditioned Hypersingular Boundary Element Method for Electrostatic Potentials in the Presence of Inhomogeneities within Layered Media

  Brian Zinser, Wei Cai

  2018-04-04

  40884 3226 Pages:970-997

• A Second-Order Finite Difference Method for Two-Dimensional Fractional Percolation Equations

  Boling Guo, Qiang Xu, Ailing Zhu

  2018-04-03

  40782 3221 Pages:733-757

• Arbitrarily High-Order (Weighted) Essentially Non-Oscillatory Finite Difference Schemes for Anelastic Flows on Staggered Meshes

  Siddhartha Mishra, Carlos Parés-Pulido, Kyle G. Pressel

  2021-03-24

  45046 3352 Pages:1299-1335

• 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

  41616 3325 Pages:273-300