Titlebook: Numerical Methods for Ordinary Differential Equations; Initial Value Proble David F. Griffiths,Desmond J. Higham Textbook 2010 Springer-Ver

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,Linear Multistep Methods—I: Construction and Consistency,l-world applications, which generally involve (large) systems of ODEs whose differentiation is impractical unless automated tools are used [23]. We look, therefore, for alternatives that do not require the use of second and higher derivatives of the solution.

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Modified Equations,solution of a modified differential equation than they are to the solution of the original differential equation. At first sight this may appear to introduce an unnecessary level of complication, but we will see in this chapter (as well as those that follow on geometric integration) that . can provide important insights about our computations.

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https://doi.org/10.1007/978-0-85729-148-6Convergence; Linear Multistep; Mathematica; Ordinary Differential Equations; Runge-Kutta; Stability; calcu

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David F. Griffiths,Desmond J. HighamFocuses on the analysis of numerical methods without losing sight of the practical nature of the subject.Covers topics traditionally treated in a first course, but also highlights new and emerging the

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Numerical Methods for Ordinary Differential Equations978-0-85729-148-6Series ISSN 1615-2085 Series E-ISSN 2197-4144

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