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dc.contributor.author | Cevallos, Fabricio![]() |
es_ES |
dc.contributor.author | Hueso, José L.![]() |
es_ES |
dc.contributor.author | Martínez Molada, Eulalia![]() |
es_ES |
dc.contributor.author | Howk, Cory L.![]() |
es_ES |
dc.date.accessioned | 2021-02-20T04:31:00Z | |
dc.date.available | 2021-02-20T04:31:00Z | |
dc.date.issued | 2020-09-30 | es_ES |
dc.identifier.issn | 0170-4214 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/161975 | |
dc.description.abstract | [EN] In this paper, we consider the problem of solving initial value problems and boundary value problems through the point of view of its continuous form. It is well known that in most cases these types of problems are solved numerically by performing a discretization and applying the finite difference technique to approximate the derivatives, transforming the equation into a finite-dimensional nonlinear system of equations. However, we would like to focus on the continuous problem, and therefore, we try to set the domain of existence and uniqueness for its analytic solution. For this purpose, we study the semilocal convergence of a Newton-type method with frozen first derivative in Banach spaces. We impose only the assumption that the Frechet derivative satisfies the Lipschitz continuity condition and that it is bounded in the whole domain in order to obtain appropriate recurrence relations so that we may determine the domains of convergence and uniqueness for the solution. Our final aim is to apply these theoretical results to solve applied problems that come from integral equations, ordinary differential equations, and boundary value problems. | es_ES |
dc.description.sponsorship | Spanish Ministry of Science and Innovation. Grant Number: MTM2014- 52016-C2-2-P Generalitat Valenciana Prometeo. Grant Number: 2016/089 | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | John Wiley & Sons | es_ES |
dc.relation.ispartof | Mathematical Methods in the Applied Sciences | es_ES |
dc.rights | Reserva de todos los derechos | es_ES |
dc.subject | Computational efficiency | es_ES |
dc.subject | Iterative methods | es_ES |
dc.subject | Nonlinear equations | es_ES |
dc.subject | Order of convergence | es_ES |
dc.subject | Semilocal convergence | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method | es_ES |
dc.type | Artículo | es_ES |
dc.type | Comunicación en congreso | es_ES |
dc.identifier.doi | 10.1002/mma.5696 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2014-52016-C2-2-P/ES/DISEÑO DE METODOS ITERATIVOS EFICIENTES PARA RESOLVER PROBLEMAS NO LINEALES: CONVERGENCIA, COMPORTAMIENTO DINAMICO Y APLICACIONES. ECUACIONES MATRICIALES./ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2016%2F089/ES/Resolución de ecuaciones y sistemas no lineales mediante técnicas iterativas: análisis dinámico y aplicaciones/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095896-B-C22/ES/DISEÑO, ANALISIS Y ESTABILIDAD DE PROCESOS ITERATIVOS APLICADOS A LAS ECUACIONES INTEGRALES Y MATRICIALES Y A LA COMUNICACION AEROESPACIAL/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada | es_ES |
dc.description.bibliographicCitation | Cevallos, F.; Hueso, JL.; Martínez Molada, E.; Howk, CL. (2020). Domain of existence for the solution of some IVP's and BVP's by using an efficient ninth-order iterative method. Mathematical Methods in the Applied Sciences. 43(14):7934-7947. https://doi.org/10.1002/mma.5696 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.conferencename | Mathematical Modelling in Engineering & Human Behaviour 2018. 20th Edition of the Mathematical Modelling Conference Series at the Institute for Multidisciplinary Mathematics | es_ES |
dc.relation.conferencedate | Julio 16-18,2018 | es_ES |
dc.relation.conferenceplace | Valencia, España | es_ES |
dc.relation.publisherversion | https://doi.org/10.1002/mma.5696 | es_ES |
dc.description.upvformatpinicio | 7934 | es_ES |
dc.description.upvformatpfin | 7947 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 43 | es_ES |
dc.description.issue | 14 | es_ES |
dc.relation.pasarela | S\422747 | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
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