Asymptotic expansion and geometric properties of the spline collocation periodic solution of an ODE system

DOI10.1016/0096-3003(91)90002-5zbMath0728.65075OpenAlexW2056700737MaRDI QIDQ805176

Li-Qing Zhang

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0096-3003(91)90002-5

zbMATH Keywords

asymptotic expansiongeometric propertiesautonomous ordinary differential equationconvexity invariancecubic spline collocation periodic solutionone side-approximation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (4)

Two-sided approximation to periodic solutions of ordinary differential equations ⋮ Mixed interpolation collocation methods for first and second order Volterra integro-differential equations with periodic solution ⋮ Estimates in discretizing normally hyperbolic compact invariant manifolds of ordinary differential equations ⋮ POMULT: A program for computing periodic orbits in Hamiltonian systems based on multiple shooting algorithms

Cites Work

• Computation of periodic solutions of nonlinear ODEs
• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• Numerical solution of bifurcation problems for ordinary differential equations
• Invariant curves for numerical methods
• Unnamed Item

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