WENO schemes with Lax-Wendroff type time discretizations for Hamilton-Jacobi equations

DOI10.1016/j.cam.2006.01.022zbMath1115.65094OpenAlexW2030757776MaRDI QIDQ869499

Jianxian Qiu

Publication date: 8 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.022

zbMATH Keywords

Hamilton-Jacobi equationnumerical experimentshigh-order accuracyWENO schemeLax-Wendroff type time discretizationtotal variation diminishing Runge-Kutta time discretizations

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (15)

The high order control volume discontinuous Petrov-Galerkin finite element method for the hyperbolic conservation laws based on Lax-Wendroff time discretization ⋮ A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations ⋮ A sixth-order weighted essentially non-oscillatory schemes based on exponential polynomials for Hamilton-Jacobi equations ⋮ A sixth order entropy condition scheme for compressible flow ⋮ Dimension-by-dimension moment-based central Hermite WENO schemes for directly solving Hamilton-Jacobi equations ⋮ High-order semi-discrete central-upwind schemes with Lax-Wendroff-type time discretizations for 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 ⋮ A RBFWENO finite difference scheme for Hamilton-Jacobi equations ⋮ Unnamed Item ⋮ High-order multiderivative time integrators for hyperbolic conservation laws ⋮ High-order weighted compact nonlinear scheme for one- and two-dimensional Hamilton-Jacobi equations ⋮ A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes ⋮ Symmetrical weighted essentially non-oscillatory-flux limiter schemes for Hamilton-Jacobi equations ⋮ New finite difference Hermite WENO schemes for Hamilton-Jacobi equations ⋮ Arc length-based WENO scheme for Hamilton-Jacobi equations

Cites Work

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