Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations
From MaRDI portal
Publication:2424431
DOI10.1016/j.jcp.2017.02.033zbMath1415.65204OpenAlexW2589271359MaRDI QIDQ2424431
Feng Zheng, Jianxian Qiu, Chi-Wang Shu
Publication date: 24 June 2019
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.02.033
Control/observation systems governed by partial differential equations (93C20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (17)
A sixth-order finite difference WENO scheme for Hamilton–Jacobi equations ⋮ Essentially non-oscillatory and weighted essentially non-oscillatory schemes ⋮ Positivity-preserving high order finite volume hybrid Hermite WENO schemes for compressible Navier-Stokes equations ⋮ High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations ⋮ A kernel based high order ``explicit unconditionally stable scheme for time dependent Hamilton-Jacobi equations ⋮ <scp>RBF‐ENO</scp>/<scp>WENO</scp> schemes with <scp>Lax–Wendroff</scp> type time discretizations for <scp>Hamilton–Jacobi</scp> equations ⋮ An alternative formulation of discontinous Galerkin schemes for solving Hamilton-Jacobi equations ⋮ On a Power WENO Scheme with Improved Accuracy Near Discontinuities ⋮ A kernel-based explicit unconditionally stable scheme for Hamilton-Jacobi equations on nonuniform meshes ⋮ Unnamed Item ⋮ Unnamed Item ⋮ High order finite difference Hermite WENO schemes for the Hamilton-Jacobi equations on unstructured meshes ⋮ High-order weighted compact nonlinear scheme for one- and two-dimensional Hamilton-Jacobi equations ⋮ A third-order WENO scheme based on exponential polynomials for Hamilton-Jacobi equations ⋮ New finite difference Hermite WENO schemes for Hamilton-Jacobi equations ⋮ A Hermite method with a discontinuity sensor for Hamilton-Jacobi equations ⋮ Arc length-based WENO scheme for Hamilton-Jacobi equations
Cites Work
- Unnamed Item
- Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
- A new discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
- A local discontinuous Galerkin method for directly solving Hamilton-Jacobi equations
- Directly solving the Hamilton-Jacobi equations by Hermite WENO schemes
- Reinterpretation and simplified implementation of a discontinuous Galerkin method for Hamilton-Jacobi equations
- A discontinuous Galerkin finite element method for directly solving the Hamilton-Jacobi equations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Hermite WENO schemes and their application as limiters for Runge-Kutta discontinuous Galerkin method: One-dimensional case.
- Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations
- Hermite WENO schemes for Hamilton-Jacobi equations
- High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations
- Efficient implementation of weighted ENO schemes
- Finite volume Hermite WENO schemes for solving the Hamilton-Jacobi equations. II: Unstructured meshes
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
- Finite Volume Hermite WENO Schemes for Solving the Hamilton-Jacobi Equation
- Mathematics and Computation in Imaging Science and Information Processing
- Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
This page was built for publication: Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations
