Some applications of continuous Runge-Kutta methods

DOI10.1016/S0168-9274(96)00026-8zbMath0866.65049OpenAlexW2067251955MaRDI QIDQ5961734

Alfredo Bellen, Rossana Vermiglio

Publication date: 27 July 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(96)00026-8

zbMATH Keywords

ordersstabilityintegro-differential equationsdelay differential equationsboot-strapping processcontinuous Runge-Kutta methodsHermite-Birkhoff interpolationiterated defect correctionwaveform relaxation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) General theory of functional-differential equations (34K05)

Related Items (4)

An accurate Chebyshev pseudospectral scheme for multi-dimensional parabolic problems with time delays ⋮ A priori error estimation in terms of the third derivative for the method of successive approximations applied to ODE's ⋮ Derivation of continuous explicit two-step Runge-Kutta methods of order three ⋮ Dense output for strong stability preserving Runge-Kutta methods

Uses Software

• RODAS

Cites Work

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