Ordinary Differential Equations

Allen Holder and Joseph Eichholz
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Allen Holder: Rose-Hulman Institute of Technology
Joseph Eichholz: Rose-Hulman Institute of Technology

Chapter Chapter 5 in An Introduction to Computational Science, 2019, pp 191-235 from Springer

Abstract: Abstract Integral calculus provides the mathematical tools to solve differential equations; however, integration isn’t always straightforward, and even symbolic software can be challenged in routine situations. Moreover, many applications are complicated, and closed-form solutions are either impractical or impossible to compute. The methods of this chapter instead develop a class of widely used algorithms to iteratively approximate a solution.

Date: 2019
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DOI: 10.1007/978-3-030-15679-4_5

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