BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//6.4.7.3//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:5513@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190122T110000
DTEND;TZID=Europe/Paris:20190122T120000
DTSTAMP:20190107T100000Z
URL:https://www.i2m.univ-amu.fr/events/splitting-and-composition-methods-w
ith-embedded-error-estimators/
SUMMARY:Splitting and composition methods with embedded error estimators -
DESCRIPTION:Splitting and composition methods are by now standard numerical
procedures to integrate differential equations in the realm of Geometric
Numerical Integration\, where preserving whatever invariants the systems h
as is of paramount importance. Nevertheless\, even in problems where no qu
alitative properties have to be preserved and/or short time integrations a
re required\, this class of methods have shown to be an excellent option w
hen compared with other standard integrators.-It is in this setting where
endowing splitting and composition methods with an efficient embedded erro
r estimator could be most useful for step size control. The idea is to con
struct\, in addition to the numerical solution\, a second approximation fr
om intermediate outputs\, so that the difference is used as an estimator f
or the local error.In this talk we show how these local order schemes can
be obtained at each step as a linear combination of the intermediate stage
s of the integrator\, so that the additional computational cost required f
or their evaluation is almost insignificant. The estimators thus construct
ed are subsequently used to adapt the step size along the integration. Num
erical examples show the efficiency of the procedure\, in comparison with
other well known embedded integration methods.http://www.gicas.uji.es/Fern
ando/fernando.html
CATEGORIES:Séminaire Analyse Appliquée (AA)
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:STANDARD
DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
TZNAME:CET
END:STANDARD
END:VTIMEZONE
END:VCALENDAR