The stability of rational approximations of cosine functions on Hilbert spaces

DOI10.1016/j.apnum.2007.11.022zbMath1160.65019OpenAlexW2065738136MaRDI QIDQ960286

M. J. Moreta, Begoña Cano, Isaías Alonso-Mallo

Publication date: 16 December 2008

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2007.11.022

zbMATH Keywords

stabilityHilbert spaceRunge-Kutta-Nyström methodsabstract initial value problemrational methodssecond order in time evolutionary problems

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) One-parameter semigroups and linear evolution equations (47D06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to equations with linear operators (65J10) Linear differential equations in abstract spaces (34G10)

Related Items (6)

Numerical resolution of linear evolution multidimensional problems of second order in time ⋮ Time exponential splitting technique for the Klein-Gordon equation with Hagstrom-Warburton high-order absorbing boundary conditions ⋮ High-order full discretization for anisotropic wave equations ⋮ Time exponential splitting integrator for the Klein-Gordon equation with free parameters in the Hagstrom-Warburton absorbing boundary conditions ⋮ Optimal time order when implicit Runge-Kutta-Nyström methods solve linear partial differential equations ⋮ A modified Gautschi's method without order reduction when integrating boundary value nonlinear wave problems

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