Minimum storage Runge-Kutta schemes for computational acoustics.

DOI10.1016/S0898-1221(03)80035-4zbMath1036.65059OpenAlexW2046299063MaRDI QIDQ1416412

J. M. Franco, Luis Rández, Manuel Calvo

Publication date: 14 December 2003

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(03)80035-4

zbMATH Keywords

numerical experimentserror boundsoscillating solutionscomputational acousticsInitial value problemsLow storage Runge-Kutta methodsLow-dissipation and dispersion methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Hydro- and aero-acoustics (76Q05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Construction of additive semi-implicit Runge-Kutta methods with low-storage requirements ⋮ Runge-Kutta methods with minimum storage implementations ⋮ Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes ⋮ Optimal Runge-Kutta schemes for discontinuous Galerkin space discretizations applied to wave propagation problems ⋮ On some new low storage implementations of time advancing Runge-Kutta methods ⋮ Efficient SSP low-storage Runge-Kutta methods ⋮ Low-storage Runge-Kutta methods for stochastic differential equations ⋮ A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error ⋮ Runge-Kutta type methods with special properties for the numerical integration of ordinary differential equations ⋮ A new minimum storage Runge-Kutta scheme for computational acoustics ⋮ A general strategy for the optimization of Runge-Kutta schemes for wave propagation phenomena ⋮ New third order low-storage SSP explicit Runge-Kutta methods

Cites Work

• Unnamed Item
• An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
• Low-storage Runge-Kutta schemes
• \(2N\)-storage low dissipation and dispersion Runge-Kutta schemes for computational acoustics
• Optimal Runge-Kutta methods for first order pseudospectral operators
• Runge-Kutta interpolants with minimal phase-lag
• A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions
• An embedded exponentially-fitted Runge-Kutta method for the numerical solution of the Schrödinger equation and related periodic initial-value problems
• Block Runge-Kutta methods for periodic initial-value problems
• Low-dissipation and low-dispersion Runge-Kutta schemes for computational acoustics
• Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions
• Explicit Runge-Kutta methods for initial value problems with oscillating solutions