Optimized Runge-Kutta methods with minimal dispersion and dissipation for problems arising from computational acoustics

DOI10.1016/j.physleta.2006.10.072zbMath1197.76082OpenAlexW2062766699MaRDI QIDQ601445

Kostas Tselios, Theodore E. Simos

Publication date: 28 October 2010

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.10.072

zbMATH Keywords

dissipationdispersionRunge-Kutta methodscomputational acoustics

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Numerical methods for initial value problems involving ordinary differential equations (65L05)

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Cites Work

• Unnamed Item
• A new minimum storage Runge-Kutta scheme for computational acoustics
• An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
• An easily implementable fourth-order method for the time integration of wave problems
• \(2N\)-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
• Optimal Runge-Kutta methods for first order pseudospectral operators
• A family of low dispersive and low dissipative explicit schemes for flow and noise computations.
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• The Runge–Kutta Theory in a Nutshell