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Vector Calculus on weighted networks
dc.contributor.author | Bendito Pérez, Enrique |
dc.contributor.author | Carmona Mejías, Ángeles |
dc.contributor.author | Encinas Bachiller, Andrés Marcos |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2006-10-02T17:59:53Z |
dc.date.available | 2006-10-02T17:59:53Z |
dc.date.issued | 2005-01 |
dc.identifier.uri | http://hdl.handle.net/2117/494 |
dc.description.abstract | In this work we study the different type of regular boundary value problems on a path associated with the Schr\"odinger operator. In particular, we get the Poisson kernel and the Green function for each problem and we emphasize the cases of Dirichlet, Neumann, Mixed and periodic problems. In any case, the Poisson kernel and the Green function are given in terms of second and third kind Chebyshev polynomials since they verify a recurrence law similar to the one verified by the Sch\"odinger operator on a path. |
dc.format.extent | 37 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Generic |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Difference equations |
dc.subject.lcsh | Differential calculus |
dc.subject.other | Discrete operators |
dc.subject.other | Discrete green identity |
dc.subject.other | Vector calculus |
dc.subject.other | Network cohomology |
dc.title | Vector Calculus on weighted networks |
dc.type | Article |
dc.subject.lemac | Equacions diferencials |
dc.subject.lemac | Anàlisi vectorial |
dc.contributor.group | Universitat Politècnica de Catalunya. VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial |
dc.subject.ams | Classificació AMS::39 Difference and functional equations ::39A Difference equations {For dynamical systems, see 37-xx} |
dc.rights.access | Open Access |
dc.relation.projectidctt | BFM2003-06014 |
local.personalitzacitacio | true |
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