Sixth order non-dissipativeC1spline collocation method for oscillatory ordinary initial value problems

DOI10.1080/00207160108805045zbMath0988.65062OpenAlexW2088632304MaRDI QIDQ2720132

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Publication date: 22 July 2002

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160108805045

zbMATH Keywords

collocation methodinitial value problemimplicit Runge-Kutta method\(A\)-stabilitystiff equationsystemquintic splinenon-dissipative method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Cites Work

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• One parameter quadratic \(C^1\)-spline collocation method for solving first order ordinary 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
• A one-step method for direct integration of structural dynamic equations
• Non-dissipative extended one-step methods for oscillatory problems
• High-accuracy non-dissipative extended one-step methods for oscillatory problems
• Explicit Runge-Kutta methods for initial value problems with oscillating solutions

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