%0 Journal Article
%T Anti-dissipative schemes for advection and application to Hamilton-Jacobi-Bellmann equations
%+ Laboratoire Jacques-Louis Lions (LJLL)
%+ Optimisation et commande (OC)
%A Bokanowski, Olivier
%A Zidani, Hasnaa
%< avec comité de lecture
%@ 0885-7474
%J Journal of Scientific Computing
%I Springer Verlag
%V 30
%N 1
%P 1-33
%8 2007
%D 2007
%R 10.1007/s10915-005-9017-0
%Z Mathematics [math]/Numerical Analysis [math.NA]
%Z Computer Science [cs]/Other [cs.OH]Journal articles
%X We propose two new antidiffusive schemes for advection (or linear transport), one of them being a mixture of Roe's Super-Bee scheme and of the "Ultra-Bee" scheme. We show how to apply these schemes to treat time-dependent first order Hamilton-Jacobi-Bellman equations with discontinuous initial data, possibly infinitely-valued. Numerical tests are proposed, in one and two space dimensions, in order to validate the methods.
%G English
%L hal-00878221
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00878221
%~ UNIV-PARIS7
%~ UPMC
%~ ENSTA
%~ CNRS
%~ INSMI
%~ PARISTECH
%~ LJLL
%~ UMA_ENSTA
%~ TDS-MACS
%~ UPMC_POLE_1
%~ SORBONNE-UNIVERSITE
%~ SU-SCIENCES
%~ UNIV-PARIS
%~ ALLIANCE-SU