{"id":859,"date":"2023-10-10T14:23:59","date_gmt":"2023-10-10T14:23:59","guid":{"rendered":"https:\/\/www2.isep.ipp.pt\/icmasc\/?page_id=859"},"modified":"2023-10-10T14:23:59","modified_gmt":"2023-10-10T14:23:59","slug":"special-session-9","status":"publish","type":"page","link":"https:\/\/www2.isep.ipp.pt\/icmasc\/?page_id=859","title":{"rendered":"Special Session #9"},"content":{"rendered":"\n

Special Session #<\/strong>9<\/p>\n\n\n\n

<\/p>\n\n\n\n

TITLE<\/strong>
Modeling with Differential and Difference Equations with Uncertainties<\/strong>
<\/p>\n\n\n\n

Clara Burgos<\/strong>1<\/sup><\/strong>, Juan Carlos Cort\u00e9s<\/strong>1<\/sup><\/strong>, Tom\u00e1s Caraballo<\/strong>2<\/sup><\/strong>, Gilberto Gonz\u00e1lez-Parra<\/strong>3<\/sup><\/strong>, Javier L\u00f3pez de la Cruz<\/strong>4<\/sup><\/strong>, Rafael Villanueva<\/strong>1<\/sup><\/strong><\/p>\n\n\n\n

1<\/sup>Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0clabursi@posgrado.upv.es<\/em><\/a>
1<\/sup>Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0jccortes@imm.upv.es<\/em><\/a>
2<\/sup>Universidad de Sevilla, Sevilla, Spain,\u00a0caraball@us.es<\/em><\/a>
3<\/sup>New Mexico Tech, New Mexico, USA,\u00a0gilberto.gonzalezparra@nmt.edu<\/em><\/a>
4<\/sup>Universidad Polit\u00e9cnica de Madrid, Madrid, Spain,\u00a0javier.lopez.delacruz@upm.es<\/a> <\/em>
1<\/sup>Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0rjvillan@imm.upv.es<\/em><\/a><\/p>\n\n\n\n

<\/p>\n\n\n\n

DESCRIPTION<\/strong>
The key role played by difference and differential equations in modeling the dynamics of physical problems (in a broad sense) is indisputable. Due to measurement errors of the quantities determining the input data (initial and\/or boundary conditions, source terms and\/or coefficients) of such equations, or simply to ignorance of the complexity of the phenomena under study, it is more realistic to formulate such difference and differential equations by means of appropriate random variables and\/or stochastic processes. This new reformulation of classical differential (and its discrete counterpart) equations has given rise to different approaches to deal with differential equations with uncertainties<\/strong> ranging from the so-called stochastic differential equations<\/strong> to random differential equations<\/strong>, although other types of formulations, such as multi-valued differential equations<\/strong> have also been proposed. In addition to the interesting mathematical problems arising from the generalization of the classical theory to the stochastic\/random\/multivalued context, exciting new challenges appear from the point of view of mathematical modeling<\/strong> real problems, including the associated inverse problems<\/strong> for the choice of probability distributions for Uncertainty Quantification<\/strong>. This special session welcomes papers dealing with new advances in difference and differential equations with uncertainty and techniques for their application in mathematical modeling. Papers dealing with thorough discussions comparing the use of the aforementioned approaches using real-world data are particularly welcome..<\/p>\n\n\n\n

<\/p>\n\n\n\n

<< BACK<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

Special Session #9 TITLEModeling with Differential and Difference Equations with Uncertainties Clara Burgos1, Juan Carlos Cort\u00e9s1, Tom\u00e1s Caraballo2, Gilberto Gonz\u00e1lez-Parra3, Javier L\u00f3pez de la Cruz4, Rafael Villanueva1 1Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0clabursi@posgrado.upv.es1Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0jccortes@imm.upv.es2Universidad de Sevilla, Sevilla, Spain,\u00a0caraball@us.es3New Mexico Tech, New Mexico, USA,\u00a0gilberto.gonzalezparra@nmt.edu4Universidad Polit\u00e9cnica de Madrid, Madrid, Spain,\u00a0javier.lopez.delacruz@upm.es 1Universitat Polit\u00e8cnica de Val\u00e8ncia, Spain,\u00a0rjvillan@imm.upv.es … <\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-859","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/pages\/859","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=859"}],"version-history":[{"count":1,"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/pages\/859\/revisions"}],"predecessor-version":[{"id":861,"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=\/wp\/v2\/pages\/859\/revisions\/861"}],"wp:attachment":[{"href":"https:\/\/www2.isep.ipp.pt\/icmasc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=859"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}