Search Results

• Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries

  Xia Cui, Zhi-Jun Shen & Guang-Wei Yuan

  2018-07-03

  46827 5208 Pages:198-229

• On the Reduction of Numerical Dissipation in Central-Upwind Schemes

  A. Kurganov & C. T. Lin

  2007-02-01

  39656 4700 Pages:141-163

• 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

  24991 2119 Pages:498-523

• 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

  4598 461 Pages:538-574

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice & Michael Dumbser

  2018-10-11

  46741 3544 Pages:311-346

• Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

  Qian Zhang & Yinhua Xia

  2018-10-11

  45795 3429 Pages:532-563

• Grad-div Stabilized Finite Element Schemes for the Fluid-Fluid Interaction Model

  Wei Li, Pengzhan Huang, Yinnian He

  2021-05-25

  49098 3227 Pages:536-566

• Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

  Walter Boscheri, Giulia Bertaglia

  2024-09-06

  23901 1612 Pages:348-388

• Structure-Preserving Finite-Element Schemes for the Euler-Poisson Equations

  Matthias Maier, John N. Shadid, Ignacio Tomas

  2023-04-28

  33106 2977 Pages:647-691

• Efficient and Stable Schemes for the Magnetohydrodynamic Potential Model

  Guo-Dong Zhang, Xiaofeng Yang

  2021-07-01

  48442 3288 Pages:771-798

• On Energy Stable Runge-Kutta Methods for the Water Wave Equation and Its Simplified Non-Local Hyperbolic Model

  Lei Li, Jian-Guo Liu, Zibu Liu, Yi Yang, Zhennan Zhou

  2022-07-06

  42935 3698 Pages:222-258

• Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

  Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou

  2021-10-26

  49794 3293 Pages:1474-1498

• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations

  Hendrik Ranocha, Dimitrios Mitsotakis, David I. Ketcheson

  2021-02-25

  48435 3403 Pages:979-1029

• Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation

  Xiao Li, Lili Ju, Xucheng Meng

  2019-08-27

  46636 3339 Pages:1510-1529

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo & Yan Xu

  2018-09-17

  67756 5453 Pages:123-151

• Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

  Dongfang Li, Hong-Lin Liao, Weiwei Sun, Jilu Wang & Jiwei Zhang

  2018-09-17

  51239 5839 Pages:86-103

• On Fully Decoupled, Convergent Schemes for Diffuse Interface Models for Two-Phase Flow with General Mass Densities

  Günther Grün, Francisco Guillén-González & Stefan Metzger

  2020-07-31

  40381 3270 Pages:1473-1502

• Optimal L2 Error Estimates for the Interior Penalty DG Method for Maxwell's Equations in Cold Plasma

  Jichun Li

  2020-07-31

  40427 4123 Pages:319-334

• A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

  Liwei Tan, Minsheng Huang, Wenjun Ying

  2024-09-06

  20108 1535 Pages:485-520

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

  Ruihan Guo, Yan Xu

  2019-07-02

  49455 3145 Pages:1224-1248

• Exponential Time Differencing Gauge Method for Incompressible Viscous Flows

  Lili Ju & Zhu Wang

  2018-04-09

  41997 3282 Pages:517-541

• 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

• Elements of the Lattice Boltzmann Method I: Linear Advection Equation

  I. V. Karlin, S. Ansumali, C. E. Frouzakis & S. S. Chikatamarla

  2006-01-01

  39666 4023 Pages:616-655