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Closed Form.pdf

issac2017.pdf

🔗 Source: math.fsu.edu

📊 Size: 223 KB

👤 Author: Mark van Hoeij [10pt] Florida State University

⬇️ Downloads: 149

Summary

A closed form solution is an expression for an exact solution given with a finite amount of data, as opposed to an infinite series. The Risch algorithm (1969) finds a closed form solution for y′ = f, where f is an elementary function, and outputs a solution if it exists in the same class of elementary functions. Kovacic's algorithm (1986) solves homogeneous differential equations of order 2 and finds solutions in a larger class of Liouvillian functions, but is more restrictive in the input, allowing only rational functions.

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Description

A closed form solution is an expression for an exact solution given with a finite amount of data, as opposed to an infinite series.

Technical Information

File Format: PDF
File Size: 223 KB
Pages: 26
Language: EN
Author: Mark van Hoeij [10pt] Florida State University
Total Downloads: 149
Last Updated: 1 week ago

Document Overview

This PDF document about closed form provides comprehensive information and guidance. Whether you're a beginner or advanced user, this resource offers valuable insights into closed form.