Absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\)

DOI10.1016/0377-0427(84)90053-0zbMath0568.65041OpenAlexW2059687077MaRDI QIDQ1060543

M. M. Chawla, Sita Ram Sharma

Publication date: 1984

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(84)90053-0

zbMATH Keywords

absolute stabilityRunge-Kutta-Nyström methodssecond order problem

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)

Related Items

Natural continuous extension of Runge-Kutta methods for Volterra integrodiffential equations, Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics, An exponential stability criterion for nonlinear second-order functional differential equations with time-variable delays, Regions of absolute stability of explicit Runge-Kutta-Nyström methods for \(y=f(x,y,y')\)

Cites Work

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