Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model
The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system.
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dig-cirad-fr-5544472022-04-21T08:08:17Z http://agritrop.cirad.fr/554447/ http://agritrop.cirad.fr/554447/ Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model. Anguelov Roumen, Dumont Yves, Lubuma Jean, Shillor M.. 2009. In : Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009. Psihoyios George (ed.), Tsitouras C. (ed.), Simos Theodore E. (ed.). AIP. Melville : AIP, 1209-1212. (AIP Conference proceedings, 1168) ISBN 978-0-7354-0709-1 International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymnon, Grèce, 18 Septembre 2009/22 Septembre 2009.https://doi.org/10.1063/1.3241285 <https://doi.org/10.1063/1.3241285> Researchers Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. eng 2009 AIP Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009 U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system. conference_item info:eu-repo/semantics/conferenceObject Conference info:eu-repo/semantics/publishedVersion http://agritrop.cirad.fr/554447/1/document_554447.pdf application/pdf Cirad license info:eu-repo/semantics/restrictedAccess https://agritrop.cirad.fr/mention_legale.html https://doi.org/10.1063/1.3241285 10.1063/1.3241285 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=11563 http://catalogue-bibliotheques.cirad.fr/cgi-bin/koha/opac-detail.pl?biblionumber=208735 info:eu-repo/semantics/altIdentifier/doi/10.1063/1.3241285 info:eu-repo/semantics/altIdentifier/purl/https://doi.org/10.1063/1.3241285 |
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U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux |
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U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| description |
The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system. |
| format |
conference_item |
| topic_facet |
U10 - Informatique, mathématiques et statistiques L73 - Maladies des animaux |
| author |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. |
| author_facet |
Anguelov, Roumen Dumont, Yves Lubuma, Jean Shillor, M. |
| author_sort |
Anguelov, Roumen |
| title |
Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| title_short |
Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| title_full |
Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| title_fullStr |
Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| title_full_unstemmed |
Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model |
| title_sort |
comparison of some standard and nonstandard numerical methods for the mseir epidemiological model |
| publisher |
AIP |
| url |
http://agritrop.cirad.fr/554447/ http://agritrop.cirad.fr/554447/1/document_554447.pdf |
| work_keys_str_mv |
AT anguelovroumen comparisonofsomestandardandnonstandardnumericalmethodsforthemseirepidemiologicalmodel AT dumontyves comparisonofsomestandardandnonstandardnumericalmethodsforthemseirepidemiologicalmodel AT lubumajean comparisonofsomestandardandnonstandardnumericalmethodsforthemseirepidemiologicalmodel AT shillorm comparisonofsomestandardandnonstandardnumericalmethodsforthemseirepidemiologicalmodel |
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1758022440211972096 |