Search Results

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

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

  2019-02-25

  46143 5220 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

  45832 3893 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

  49760 3564 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

  50093 3502 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

  48045 6968 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

  1892 137 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

  45101 3550 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

  45953 3305 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

  39211 2992 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

  41741 3104 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

  40900 3000 Pages:317-336

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

  Yan Xu & Chi-Wang Shu

  2010-07-01

  42128 4813 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

  27885 1846 Pages:1352-1386

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

  Lei Li, Yuzhou Peng

  2025-08-23

  6484 463 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

  43178 3318 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

  5235 749 Pages:181-222

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

  Peng Wang, Jialin Hong & Dongsheng Xu

  2018-04-08

  41385 4600 Pages:237-270

• Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain

  Wei Zhang, Jiang Yang, Jiwei Zhang & Qiang Du

  2018-04-08

  42189 4855 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

  38963 3127 Pages:1474-1509

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

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32807 3047 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

  40822 3203 Pages:970-997

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

  Boling Guo, Qiang Xu & Ailing Zhu

  2018-04-03

  40706 3191 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

  44948 3316 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

  41525 3292 Pages:273-300

• Numerical Integrators for Dispersion-Managed KdV Equation

  Ying He, Xiaofei Zhao

  2022-03-30

  51166 3171 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

  38730 3156 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

  49034 3203 Pages:851-873