Numerical continuation in classical mechanics and thermodynamics
Visualitza/Obre
10.1088/0143-0807/36/1/015015
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/76204
Tipus de documentArticle
Data publicació2015-01-01
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
In this paper, modern numerical continuation methodologies are presented as a way of understanding and computing multiplicity of solutions in undergraduate physics problems. Mechanical and thermodynamical problems are used as a storyline to introduce the mathematical formalism required to clarify the distinction between the uniqueness and multiplicity of equilibrium solutions and the critical states of a nonlinear physical problem, as well as to illustrate how these novel numerical continuation techniques are implemented in practice. The paper provides simple numerical MATLAB codes that are easily adaptable to other problems, as well as updated software and literature resources.
CitacióGimenez, A., chausse, V., Meseguer, A. Numerical continuation in classical mechanics and thermodynamics. "European journal of physics", 01 Gener 2015, núm. 1, p. 1-18.
ISSN0143-0807
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
ejp2014reev4webgenerated.pdf | Article principal | 1,104Mb | Visualitza/Obre |