Numerical Solution of Ordinary Differential Equations

This chapter covers methods for the numerical solution of ordinary differential equations, including Euler, Euler predictor–corrector, Runge–Kutta, and Runge–Kutta–Fehlberg (or embedded). Use of Richardson's extrapolation is described as well as techniques for dealing with split boundary condit...

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Bibliographische Detailangaben
1. Verfasser:	Glasgow, Larry A
Format:	Buchkapitel
Sprache:	eng
Schlagworte:	adaptive algorithms BDF methods Bulirsch–Stoer Chemical engineering embedded schemes with error detection Euler method MATHEMATICS MECHANICAL ENGINEERING & MATERIALS multistep methods Runge–Kutta simultaneous ODEs split boundary conditions and finite difference methods stiff ODEs
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Beschreibung
Zusammenfassung:	This chapter covers methods for the numerical solution of ordinary differential equations, including Euler, Euler predictor–corrector, Runge–Kutta, and Runge–Kutta–Fehlberg (or embedded). Use of Richardson's extrapolation is described as well as techniques for dealing with split boundary conditions. The Bulirsch–Stoer method is introduced and examples in which phase space analysis is useful are presented.
DOI:	10.1002/9781118750544.ch6