A one-step integration routine for normal differential systems, based on Gauss-Legendre quadrature

DOI10.1016/0377-0427(89)90333-6zbMath0683.65051OpenAlexW2094959194MaRDI QIDQ1824997

René van Dooren, Hugo L. Janssen

Publication date: 1989

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(89)90333-6

zbMATH Keywords

Galerkin methodperiodic solutionschaosA-stabilityDuffing oscillatorerror controlDuffing equationbifurcation pointsGauss-Legendre quadratureperiod doublingimplicit equationsGaussian pointsfunctional iterationCollocation methodsimplicit s-stages Runge-Kutta method of order 2s

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) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (2)

Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators ⋮ A continuation algorithm for discovering new chaotic motions in forced Duffing systems

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