Local error estimation for multistep collocation methods

DOI10.1007/BF01932138zbMath0717.65048OpenAlexW1972996883MaRDI QIDQ2638733

Ivar Lie

Publication date: 1990

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932138

zbMATH Keywords

error estimationRunge-Kutta methodStabilitymultistep collocation methodsingly-implicit method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (6)

Convergence of general linear methods on differential-algebraic systems of index 3 ⋮ Two-step collocation methods for fractional differential equations ⋮ Multistep collocation method for Fredholm integral equations of the second kind ⋮ The stability of two-step Runge-Kutta methods for neutral delay integro differential-algebraic equations with many delays ⋮ Numerical experiments with a multistep Radau method ⋮ Stability analysis of two-step Runge-Kutta methods for delay differential equations

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