Instability of Runge-Kutta methods when applied to linear systems of delay differential equations

DOI10.1007/s002110100266zbMath1008.65052OpenAlexW2053343769MaRDI QIDQ1348925

Stefano Maset

Publication date: 21 May 2002

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

Full work available at URL: https://doi.org/10.1007/s002110100266

zbMATH Keywords

stabilityinstabilitydelay differential equationsRunge-Kutta methodscomplex system

Mathematics Subject Classification ID

Related Items (13)

Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays ⋮ Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays ⋮ Delay-dependent stability of numerical methods for delay differential systems of neutral type ⋮ Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations ⋮ Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations ⋮ Delay-dependent stability of linear multi-step methods for linear neutral systems ⋮ Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs ⋮ An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters ⋮ Method of lines approximations of delay differential equations ⋮ Delay-dependent stability of high order Runge-Kutta methods ⋮ Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays ⋮ DELAY-DEPENDENT STABILITY OF RUNGE-KUTTA METHODS FOR NEUTRAL SYSTEMS WITH DISTRIBUTED DELAYS ⋮ Delay-dependent stability of symmetric boundary value methods for second order delay differential equations with three parameters

This page was built for publication: Instability of Runge-Kutta methods when applied to linear systems of delay differential equations