Mapped WENO schemes based on a new smoothness indicator for Hamilton-Jacobi equations
DOI10.1016/j.jmaa.2012.04.040zbMath1248.65089OpenAlexW2011767324WikidataQ60019884 ScholiaQ60019884MaRDI QIDQ442489
Jungho Yoon, Yeon Ju Lee, Chang Ho Kim, Youngsoo Ha
Publication date: 1 August 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.04.040
convergencenumerical experimentsHamilton-Jacobi equationslevel sethyperbolic conservation lawssmoothness indicatorsmapped weighted essentially nonoscillatory (WENO) schemes
Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Hamilton-Jacobi equations (35F21)
Related Items (5)
Cites Work
- Numerical methods for high dimensional Hamilton-Jacobi equations using radial basis functions
- Approximation schemes for viscosity solutions of Hamilton-Jacobi equations
- Numerical experiments on the accuracy of ENO and modified ENO schemes
- Fifth-order weighted power-ENO schemes for Hamilton-Jacobi equations
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23--28, 1997
- Weighted essentially non-oscillatory schemes
- High-order semi-discrete central-upwind schemes for multi-dimensional Hamilton-Jacobi equations
- New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
- Hermite WENO schemes for Hamilton-Jacobi equations
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- High order two dimensional nonoscillatory methods for solving Hamilton-Jacobi scalar equations
- Efficient implementation of weighted ENO schemes
- Analysis of the discontinuous Galerkin method for Hamilton-Jacobi equations
- Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- Some Properties of Viscosity Solutions of Hamilton-Jacobi Equations
- Viscosity Solutions of Hamilton-Jacobi Equations
- Uniformly High-Order Accurate Nonoscillatory Schemes. I
- Total-Variation-Diminishing Time Discretizations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Numerical Passage from Systems of Conservation Laws to Hamilton--Jacobi Equations, and Relaxation Schemes
- High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
- High-Order Central WENO Schemes for Multidimensional Hamilton-Jacobi Equations
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- High-Resolution Nonoscillatory Central Schemes for Hamilton--Jacobi Equations
- High-Order Central Schemes for Hyperbolic Systems of Conservation Laws
- A Discontinuous Galerkin Finite Element Method for Hamilton--Jacobi Equations
This page was built for publication: Mapped WENO schemes based on a new smoothness indicator for Hamilton-Jacobi equations
