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Ordinary Differential Equations

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Introduction to Numerical Analysis

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Abstract

Many problems in applied mathematics lead to ordinary differential equations. In the simplest case one seeks a differentiable function y = y(x) of one real variable x, whose derivative y’(x) is to satisfy an equation of the form y’(x) = f(x, y(x)), or more briefly,

$$y' = f\left( {x,y} \right); $$
((7.0.1))

one then speaks of an ordinary differential equation.

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Authors and Affiliations

  1. Institut für Angewandte Mathematik, Universität Würzburg am Hubland, 8700, Würzburg, Federal Republic of Germany

    J. Stoer

  2. Institut für Mathematik, Technische Universität, 8000, München, Federal Republic of Germany

    R. Bulirsch

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  1. J. Stoer
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  2. R. Bulirsch
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Stoer, J., Bulirsch, R. (1980). Ordinary Differential Equations. In: Introduction to Numerical Analysis. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5592-3_7

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  • DOI: https://doi.org/10.1007/978-1-4757-5592-3_7

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