Skip to Main content Skip to Navigation
Journal articles

On the presumed superiority of analytical solutions over numerical methods

Abstract : An important task in mathematical sciences is to make quantitative predictions, which is often done via the solution of differential equations. In this paper, we investigate why, to perform this task, scientists sometimes choose to use numerical methods instead of analytical solutions. Via several examples, we argue that the choice for numerical methods can be explained by the fact that, while making quantitative predictions seems at first glance to be facilitated with analytical solutions, this is actually often much easier with numerical methods. Thus we challenge the widely presumed superiority of analytical solutions over numerical methods.
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-01929803
Contributor : Vincent Ardourel <>
Submitted on : Wednesday, November 21, 2018 - 2:11:47 PM
Last modification on : Thursday, March 4, 2021 - 8:46:03 AM
Long-term archiving on: : Friday, February 22, 2019 - 2:03:26 PM

File

On_the_presumed_superiority_of...
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01929803, version 1

Citation

Vincent Ardourel, Julie Jebeile. On the presumed superiority of analytical solutions over numerical methods. European Journal for Philosophy of Science, 2017, 7 (2), pp.201-220. ⟨hal-01929803⟩

Share

Metrics

Record views

149

Files downloads

464