Stepsize control and continuity consistency for state-dependent delay- differential equations

DOI10.1016/0377-0427(94)90043-4zbMath0814.65081OpenAlexW2049063629MaRDI QIDQ1344285

Christopher T. H. Baker, David R. Willé

Publication date: 18 June 1995

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90043-4

zbMATH Keywords

multistep methodsstepsize controldelay-differential equationscontinuity consistency

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General theory of functional-differential equations (34K05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (12)

A mixed finite element for the Stokes problem using quadrilateral elements ⋮ Issues in the numerical solution of evolutionary delay differential equations ⋮ Global existence results for second order functional differential equations with delay ⋮ Nonlinear impulsive partial functional differential inclusions with state-dependent delay and multivalued jumps ⋮ Existence results for fractional integro-differential inclusions with state-dependent delay ⋮ Fractional partial random differential equations with state-dependent delay ⋮ Existence results for an impulsive abstract partial differential equation with state-dependent delay ⋮ Результаты существования для функционально возмущенных дифференциальных уравнений дробного порядка с запаздыванием в банаховых пространствах ⋮ Global existence for functional differential equations with state-dependent delay ⋮ Unnamed Item ⋮ Mild solutions for impulsive neutral functional differential equations with state-dependent delay ⋮ EXISTENCE RESULTS FOR NONDENSELY DEFINED IMPULSIVE SEMILINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY

Uses Software

• DELSOL

Cites Work

• Stability properties of numerical methods for solving delay differential equations
• Numerical treatment of delay differential equations by Hermite interpolation
• DELSOL -- a numerical code for the solution of systems of delay- differential equations
• The adaptation of STRIDE to delay differential equations
• Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations
• High Order Methods for State-Dependent Delay Differential Equations with Nonsmooth Solutions
• Automatic Integration of Functional Differential Equations: An Approach
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