Publicación:
LAGRANGIAN-ANTIDIFFUSIVE REMAP SCHEMES FOR NON-LOCAL MULTI-CLASS TRAFFIC FLOW MODELS

Vista sencilla de ítem
dc.creatorLUIS MIGUEL VILLADA OSORIO
dc.date2020
dc.date.accessioned2025-01-10T15:15:10Z
dc.date.available2025-01-10T15:15:10Z
dc.date.issued2020
dc.description.abstractTHIS PAPER FOCUSES ON THE NUMERICAL APPROXIMATION OF THE SOLUTIONS OF A CLASS OF NON-LOCAL SYSTEMS IN ONE SPACE DIMENSION, ARISING IN TRAFFIC MODELING. WE PROPOSE ALTERNATIVE SIMPLE SCHEMES BY SPLITTING THE NON-LOCAL CONSERVATION LAWS INTO TWO DIFFERENT EQUATIONS, NAMELY THE LAGRANGIAN AND THE REMAP STEPS. WE PROVIDE SOME PROPERTIES AND ESTIMATES RECOVERED BY APPROXIMATING THE PROBLEM WITH THE LAGRANGIAN-ANTIDIFFUSIVE REMAP (L-AR) SCHEME, AND WE PROVE THE CONVERGENCE TO WEAK SOLUTIONS IN THE SCALAR CASE. FINALLY, WE SHOW SOME NUMERICAL SIMULATIONS ILLUSTRATING THE EFFICIENCY OF THE L-AR SCHEMES IN COMPARISON WITH CLASSICAL FIRST- AND SECOND-ORDER NUMERICAL SCHEMES.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s40314-020-1097-9
dc.identifier.issn1807-0302
dc.identifier.issn0101-8205
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11134
dc.languagespa
dc.publisherCOMPUTATIONAL & APPLIED MATHEMATICS
dc.relation.uri10.1007/s40314-020-1097-9
dc.rightsPUBLICADA
dc.titleLAGRANGIAN-ANTIDIFFUSIVE REMAP SCHEMES FOR NON-LOCAL MULTI-CLASS TRAFFIC FLOW MODELS
dc.title.alternativeESQUEMAS DE REASIGNACIÓN LAGRANGIANO-ANTIDIFFUSIVE PARA MODELOS DE FLUJO DE TRÁFICO MULTICLASE NO LOCALES
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
Archivos
Colecciones
Artículos científicos