Delay-dependent stability of high order Runge-Kutta methods

DOI10.1007/s00211-008-0197-zzbMath1167.65045OpenAlexW2166138520MaRDI QIDQ998645

Cheng-Ming Huang

Publication date: 9 February 2009

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

Full work available at URL: https://doi.org/10.1007/s00211-008-0197-z

zbMATH Keywords

delay differential equationRunge-Kutta methodsdelay-dependent stability\(\tau(0)\)-stability

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) 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) Neutral functional-differential equations (34K40)

Related Items (19)

Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays ⋮ Delay-dependent stability analysis of symmetric boundary value methods for linear delay integro-differential equations ⋮ Unconditionally stable difference methods for delay partial differential equations ⋮ Delay dependent asymptotic mean square stability analysis of the stochastic exponential Euler method ⋮ Delay-dependent stability analysis of numerical methods for stochastic delay differential equations ⋮ Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations ⋮ Stability of Runge-Kutta methods for neutral delay differential equations ⋮ Delay-dependent stability criteria for neutral delay differential and difference equations ⋮ Stability analysis and finite volume element discretization for delay-driven spatio-temporal patterns in a predator-prey model ⋮ Construction of high-order Runge-Kutta methods which preserve delay-dependent stability of DDEs ⋮ Delay-dependent stability of linear multistep methods for DAEs with multiple delays ⋮ An analysis of delay-dependent stability of symmetric boundary value methods for the linear neutral delay integro-differential equations with four parameters ⋮ Delay-dependent stability of symmetric schemes in boundary value methods for DDEs ⋮ Delay-dependent stability analysis of multistep methods for delay differential equations ⋮ Exact and nonstandard numerical schemes for linear delay differential models ⋮ A note on compact finite difference method for reaction-diffusion equations with delay ⋮ 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 ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays

Uses Software

• RADAR5

Cites Work

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