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Ordinary Differential Equations

In: An Introduction to Computational Science

Author

Listed:
  • Allen Holder

    (Rose-Hulman Institute of Technology)

  • Joseph Eichholz

    (Rose-Hulman Institute of Technology)

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.

Suggested Citation

  • Allen Holder & Joseph Eichholz, 2019. "Ordinary Differential Equations," International Series in Operations Research & Management Science, in: An Introduction to Computational Science, chapter 0, pages 191-235, Springer.
    • Handle: RePEc:spr:isochp:978-3-030-15679-4_5
    DOI: 10.1007/978-3-030-15679-4_5
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