On the presumed superiority of analytical solutions over numerical methods
| Autor: | Vincent Ardourel, Julie Jebeile |
|---|---|
| Přispěvatelé: | Institut d'Histoire et de Philosophie des Sciences et des Techniques (IHPST), Université Paris 1 Panthéon-Sorbonne (UP1)-Département d'Etudes Cognitives - ENS Paris (DEC), École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-École normale supérieure - Paris (ENS Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Sciences, Normes, Décision (SND), Université Paris-Sorbonne (UP4)-Centre National de la Recherche Scientifique (CNRS), UCL - SSH/ISP - Institut supérieur de philosophie |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Philosophy of science
exactitude Mathematical sciences Differential equation Computer science Numerical analysis 010102 general mathematics 06 humanities and the arts 0603 philosophy ethics and religion 01 natural sciences Task (project management) [SHS.HISPHILSO]Humanities and Social Sciences/History Philosophy and Sociology of Sciences Philosophy mathématiques appliquées History and Philosophy of Science 060302 philosophy Calculus 0101 mathematics Algorithm méthodes numériques solutions analytiques |
| Zdroj: | European Journal for Philosophy of Science European Journal for Philosophy of Science, 2017, 7 (2), pp.201-220 European Journal for Philosophy of Science, Vol. 7, no. 2, p. 201-220 (2017) |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|