Improved ninth order WENO scheme for hyperbolic conservation laws
DOI10.1016/j.amc.2013.02.020zbMath1291.65276OpenAlexW2066710864MaRDI QIDQ2451456
Mohammed M. Babatin, Yousef Hashem Zahran
Publication date: 3 June 2014
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2013.02.020
stabilityconvergenceconservation lawsBurgers equationEuler equationshyperbolic conservation lawsnumerical experimentRunge-Kuttaweighted essentially non-oscillatory (WENO) schemecentral-upwind flux
KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Related Items (2)
Cites Work
- A new fourth order central WENO method for 3D hyperbolic conservation laws
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- An efficient WENO scheme for solving hyperbolic conservation laws
- High resolution schemes for hyperbolic conservation laws
- The numerical simulation of two-dimensional fluid flow with strong shocks
- Uniformly high order accurate essentially non-oscillatory schemes. III
- A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
- Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
- ADER: Arbitrary high-order Godunov approach
- Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
- On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
- Efficient implementation of weighted ENO schemes
- An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
- Upwind and central WENO schemes
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
- A technique of treating negative weights in WENO schemes
This page was built for publication: Improved ninth order WENO scheme for hyperbolic conservation laws