Search Results

• 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

  49944 3455 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

  47940 6904 Pages:189-217

• 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

  44991 3531 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

  45851 3282 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

  39138 2969 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

  41684 3071 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

  40849 2971 Pages:317-336

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

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42047 4741 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

  27753 1809 Pages:1352-1386

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

  Lei Li, Yuzhou Peng

  2025-08-23

  5986 410 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

  43107 3303 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

  5046 565 Pages:181-222

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

  Peng Wang, Jialin Hong & Dongsheng Xu

  2018-04-08

  41307 4508 Pages:237-270

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du

  2018-04-08

  42115 4803 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

  38863 3109 Pages:1474-1509

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 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

  40759 3186 Pages:970-997

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

  Boling Guo, Qiang Xu & Ailing Zhu

  2018-04-03

  40645 3175 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

  44855 3295 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

  41450 3254 Pages:273-300

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51052 3142 Pages:1180-1214

• Simulation of Incompressible Free Surface Flow Using the Volume Preserving Level Set Method

  Ching-Hao Yu & Tony Wen-Hann Sheu

  2020-07-31

  38674 3130 Pages:931-956

• A Hermite WENO Method with Modified Ghost Fluid Method for Compressible Two-Medium Flow Problems

  Zhuang Zhao, Yong-Tao Zhang, Yibing Chen, Jianxian Qiu

  2021-07-01

  48944 3187 Pages:851-873

• High-Order Symplectic Schemes for Stochastic Hamiltonian Systems

  Jian Deng, Cristina Anton & Yau Shu Wong

  2014-07-06

  41218 4201 Pages:169-200

• Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study

  Yangyang Cao, Mohammad A. Ghazizadeh, Philippe G. LeFloch

  2020-12-02

  46447 3217 Pages:472-509

• Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

  Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu

  2020-11-18

  63767 3554 Pages:2075-2108

• Improved RBF Collocation Methods for Fourth Order Boundary Value Problems

  C. S. Chen, Andreas Karageorghis, Hui Zheng

  2020-05-06

  50290 3415 Pages:1530-1549