The stability function for multistep collocation methods

DOI10.1007/BF01386443zbMath0708.65080OpenAlexW2073224874MaRDI QIDQ920596

Ivar Lie

Publication date: 1990

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133481

zbMATH Keywords

linear stabilitymultistep collocation methodsone-step collocation 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) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (6)

Local error estimation for multistep collocation methods ⋮ Convergence of general linear methods on differential-algebraic systems of index 3 ⋮ Multistep collocation methods for Volterra integro-differential equations ⋮ Multivalue collocation methods free from order reduction ⋮ Numerical experiments with a multistep Radau method ⋮ Collocation methods for Volterra integral and integro-differential equations: a review

Cites Work

• On the stability of spline-collocation methods of multivalue type
• A generalization of singly-implicit methods
• C-polynomials for rational approximation to the exponential function
• The real-pole sandwich for rational approximations and oscillation equations
• Superconvergence for Multistep Collocation

This page was built for publication: The stability function for multistep collocation methods