Properties-preserving high order numerical methods for a kinetic eikonal equation
DOI10.1016/j.jcp.2016.11.040zbMath1380.65163OpenAlexW2558109415MaRDI QIDQ680198
Publication date: 22 January 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2016.11.040
Runge-Kutta methodBGK equationGodunov schemeWENOHopf-Cole transformationkinetic eikonal equationproperties-preserving
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (2)
Cites Work
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- A kinetic eikonal equation
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- The role of orthogonal polynomials in numerical ordinary differential equations
- Weighted essentially non-oscillatory schemes
- An asymptotic method based on a Hopf-Cole transformation for a kinetic BGK equation in the hyperbolic limit
- Efficient implementation of weighted ENO schemes
- Strong Stability-Preserving High-Order Time Discretization Methods
- An introduction to Monte Carlo method for the Boltzmann equation
- Two Approximations of Solutions of Hamilton-Jacobi Equations
- The Nonconvex Multidimensional Riemann Problem for Hamilton–Jacobi Equations
- High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
- Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator
- Weighted ENO Schemes for Hamilton--Jacobi Equations
- An Order Five Runge-Kutta Process with Extended Region of Stability
- Calculation of Gauss Quadrature Rules
- A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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