WENO scheme with new smoothness indicator for Hamilton-Jacobi equation

DOI10.1016/j.amc.2016.05.022zbMath1410.65313OpenAlexW2424269979MaRDI QIDQ1733670

Cong Huang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.05.022

zbMATH Keywords

Hamilton-Jacobi equationWENO schemenew smoothness indicator

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Initial value problems for nonlinear first-order PDEs (35F25) Hamilton-Jacobi equations (35F21)

Related Items (6)

A localised dynamic closure model for Euler turbulence ⋮ A sixth-order finite difference WENO scheme for Hamilton–Jacobi equations ⋮ Convergence of a proposed adaptive WENO scheme for Hamilton-Jacobi equations. ⋮ High-order weighted compact nonlinear scheme for one- and two-dimensional Hamilton-Jacobi equations ⋮ Numerical assessments of a parametric implicit large eddy simulation model ⋮ Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation

Cites Work

• A high-order symmetrical weighted hybrid ENO-flux limiter scheme for hyperbolic conservation laws
• Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Weighted essentially non-oscillatory schemes
• An improved mapped weighted essentially non-oscillatory scheme
• Hermite WENO schemes for Hamilton-Jacobi equations
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• Efficient implementation of weighted ENO schemes
• A high-order non-oscillatory central scheme with non-staggered grids for hyperbolic conservation laws
• A new mapped weighted essentially non-oscillatory scheme
• A new smoothness indicator for the WENO schemes and its effect on the convergence to steady state solutions
• Strong Stability-Preserving High-Order Time Discretization Methods
• 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
• Central WENO Schemes for Hamilton–Jacobi Equations on Triangular Meshes

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