Natural Runge-Kutta and projection methods

DOI10.1007/BF01396327zbMath0651.65055MaRDI QIDQ1106627

Marino Zennaro

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/133284

zbMATH Keywords

absolute stabilityRunge-Kutta methodsprojection 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)

Related Items (13)

A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations ⋮ Regularity properties of Runge-Kutta methods for delay differential equations ⋮ The stability of natural Runge-Kutta methods for nonlinear delay differential equations ⋮ NP-stability of Runge-Kutta methods based on classical quadrature ⋮ Derivation of continuous explicit two-step Runge-Kutta methods of order three ⋮ Numerical solution of threshold problems in epidemics and population dynamics ⋮ Multistep natural continuous extensions of Runge-Kutta methods: The potential for stable interpolation ⋮ Multistep high-order interpolants of Runge-Kutta methods ⋮ Contractivity of Runge-Kutta methods with respect to forcing terms ⋮ Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations ⋮ Some applications of continuous Runge-Kutta methods ⋮ Runge-Kutta research in Trondheim ⋮ A stability property of \(A\)-stable collocation-based Runge-Kutta methods for neutral delay differential equations

Cites Work

• Unnamed Item
• A one-step subregion method for delay differential equations
• P-stability properties of Runge-Kutta methods for delay differential equations
• Stability analysis of one-step methods for neutral delay-differential equations
• Perturbed collocation and Runge-Kutta methods
• The real-pole sandwich for rational approximations and oscillation equations
• One-Step Methods of any Order for Neutral Functional Differential Equations
• Natural Continuous Extensions of Runge-Kutta Methods

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