Optimal Runge-Kutta methods for first order pseudospectral operators
DOI10.1006/jcph.1999.6260zbMath0935.65100OpenAlexW2137133552MaRDI QIDQ1306124
Jodi L. Mead, Rosemary A. Renaut
Publication date: 24 April 2000
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jcph.1999.6260
performancedissipationdispersioncomputational aeroacousticsstability intervalsoptimal Runge-Kutta methodspseudospectral discretizations
Second-order nonlinear hyperbolic equations (35L70) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
- Dispersion-relation-preserving finite differene schemes for computational acoustics
- One step integration methods of third-fourth order accuracy with large hyperbolic stability limits
- Stability of the method of lines
- New stability theorems concerning one-step numerical methods for ordinary differential equations
- A modified Chebyshev pseudospectral method with an \(O(N^{-1})\) time step restriction
- Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
- An Optimal Runge–Kutta Method for Steady-State Solutions of Hyperbolic Systems
- The Runge–Kutta Theory in a Nutshell
- High-Accuracy Finite-Difference Schemes for Linear Wave Propagation
- Computational aeroacoustics - Issues and methods
- An Order Five Runge-Kutta Process with Extended Region of Stability
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