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Numerical continuation in classical mechanics and thermodynamics
dc.contributor.author | Gimenez, Aleix |
dc.contributor.author | Chausse Calbet, Victor |
dc.contributor.author | Meseguer Serrano, Álvaro |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física Aplicada |
dc.date.accessioned | 2015-07-20T06:58:13Z |
dc.date.available | 2015-07-20T06:58:13Z |
dc.date.created | 2015-01-01 |
dc.date.issued | 2015-01-01 |
dc.identifier.citation | Gimenez, A., chausse, V., Meseguer, A. Numerical continuation in classical mechanics and thermodynamics. "European journal of physics", 01 Gener 2015, núm. 1, p. 1-18. |
dc.identifier.issn | 0143-0807 |
dc.identifier.uri | http://hdl.handle.net/2117/76204 |
dc.description.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. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Nonlinear systems |
dc.subject.lcsh | Double pendulums |
dc.subject.lcsh | Thermodynamics |
dc.subject.other | numerical methods |
dc.subject.other | nonlinear systems |
dc.subject.other | arclength continuation |
dc.subject.other | double pendulum |
dc.subject.other | chaos |
dc.title | Numerical continuation in classical mechanics and thermodynamics |
dc.type | Article |
dc.subject.lemac | Sistemes no lineals |
dc.subject.lemac | Termodinàmica |
dc.contributor.group | Universitat Politècnica de Catalunya. DF - Dinàmica No Lineal de Fluids |
dc.identifier.doi | 10.1088/0143-0807/36/1/015015 |
dc.rights.access | Open Access |
local.identifier.drac | 15572229 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Gimenez, A.; chausse, V.; Meseguer, A. |
local.citation.publicationName | European journal of physics |
local.citation.volume | 36 |
local.citation.number | 1 |
local.citation.startingPage | 1 |
local.citation.endingPage | 18 |
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