On a class of \(P\)-stable mono-implicit Runge-Kutta-Nyström methods

DOI10.1016/S0168-9274(97)00110-4zbMath0937.65085OpenAlexW1985874154MaRDI QIDQ1294584

T. Van Hecke, Marnix van Daele, Guido Vanden Berghe, H. E. De Meyer

Publication date: 14 June 2000

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

Full work available at URL: https://doi.org/10.1016/s0168-9274(97)00110-4

zbMATH Keywords

Runge-Kutta-Nyström methodsorder\(P\)-stabilitymono-implicit Runge-Kutta methods

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (9)

A two-step explicit \(P\)-stable method of high phase-lag order for linear periodic IVPs ⋮ Fast Computing Approaches Based on a Bilinear Pseudo-Spectral Method for Nonlinear Acoustic Wave Equations ⋮ A two-step explicit \(P\)-stable method for solving second order initial value problems. ⋮ A two-step explicit \(P\)-stable method of high phase-lag order for second order IVPs. ⋮ A nonlinear explicit two-step fourth algebraic order method of order infinity for linear periodic initial value problems ⋮ A class of two-step explicit methods for periodic IVPs ⋮ High-order convergent deferred correlation schemes based on parameterized Runge-Kutta-Nyström methods for second-order boundary value problems ⋮ Optimization as a function of the phase-lag order of nonlinear explicit two-step \(P\)-stable method for linear periodic IVPs ⋮ Laguerre-Gauss collocation method for initial value problems of second order ODEs

Uses Software

• PMIRKDC
• MIRKDC

Cites Work

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