On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes
DOI10.1016/j.jcp.2017.12.043zbMath1382.65205OpenAlexW2781716392MaRDI QIDQ1699489
Publication date: 23 February 2018
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2017.12.043
wave propagationdissipationdispersionRunge-Kutta methodsRichardson extrapolationcomputational acousticsoptimal schemes
Reaction-diffusion equations (35K57) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Optimized explicit finite-difference schemes for spatial derivatives using maximum norm
- An implicit discontinuous Galerkin method for the unsteady compressible Navier-Stokes equations
- Richardson extrapolation combined with the sequential splitting procedure and the \(\theta \)-method
- The convergence of diagonally implicit Runge-Kutta methods combined with Richardson extrapolation
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- A new minimum storage Runge-Kutta scheme for computational acoustics
- High-order low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes
- A note on iterated splitting schemes
- Low-dissipation and low-dispersion fourth-order Runge-Kutta algorithm
- A semi-implicit mid-point rule for stiff systems of ordinary differential equations
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems
- A Noumerov-type method with minimal phase-lag for the integration of second order periodic initial-value problems. II: Explicit method
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Compact finite difference schemes with spectral-like resolution
- \(2N\)-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
- A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
- Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics
- Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
- Implicit solution of the unsteady Euler equations for high-order accurate discontinuous Galerkin discretizations
- Numerical treatment of ordinary differential equations by extrapolation methods
- Numerical Methods for Reacting Gas Flow Simulations
- High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
- Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
- Numerical Methods for Ordinary Differential Equations
This page was built for publication: On Richardson extrapolation for low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes
