BEGIN:VCALENDAR VERSION:2.0 PRODID:-//Sabre//Sabre VObject 4.5.8//EN CALSCALE:GREGORIAN BEGIN:VTIMEZONE TZID:Europe/Zurich X-LIC-LOCATION:Europe/Zurich TZURL:http://tzurl.org/zoneinfo/Europe/Zurich BEGIN:DAYLIGHT TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST DTSTART:19810329T020000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0200 TZOFFSETTO:+0100 TZNAME:CET DTSTART:19961027T030000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT UID:news1720@dmi.unibas.ch DTSTAMP;TZID=Europe/Zurich:20241213T192501 DTSTART;TZID=Europe/Zurich:20241220T110000 SUMMARY:Seminar in Numerical Analysis: Ana Djurdjevac (FU Berlin) DESCRIPTION:Interacting particle systems provide flexible and powerful mode ls that are useful in many application areas such as sociology (agents)\, molecular dynamics (proteins) etc. However\, particle systems with large n umbers of particles are very complex and difficult to handle\, both analyt ically and computationally. Therefore\, a common strategy is to derive e ffective equations that describe the time evolution of the empirical part icle density. A prototypical example that we will consider is the formal i dentification of a finite system of particles with the singular Dean-Kawas aki equation. We will give a short introduction about the Dean-Kawasaki eq uation and its applications. Our aim is to introduce a well-behaved nonlin ear SPDE that approximates the Dean-Kawasaki equation for a particle syste m with mean-field interaction both in the drift and the noise term. We wan t to study the well-posedness of these nonlinear SPDE models and to contro l the weak error of the SPDE approximation with respect to the particle sy stem using the technique of transport equations on the space of probabilit y measures. This is the joint work with H. Kremp\, N. Perkowski and J. Xia ohao. Furthermore\, we will discuss possible numerical methods for these p roblems. In particular\, we will focus on hybrid methods. This is a joint work with A. Almgren and J. Bell.\\r\\n\\r\\nFor further information about the seminar\, please visit this webpage [t3://page?uid=1115]. X-ALT-DESC:

Interacting particle systems provide flexible and powerful mo dels that are useful in many application areas such as sociology (agents)\ , molecular dynamics (proteins) etc. However\, particle systems with large numbers of particles are very complex and difficult to handle\, both anal ytically and computationally. Therefore\, a common strategy is to derive e ffective equations that describe the time evolution of the empirical part icle density. A prototypical example that we will consider is the formal i dentification of a finite system of particles with the singular Dean-Kawas aki equation. We will give a short introduction about the Dean-Kawasaki eq uation and its applications. Our aim is to introduce a well-behaved nonlin ear SPDE that approximates the Dean-Kawasaki equation for a particle syste m with mean-field interaction both in the drift and the noise term. We wan t to study the well-posedness of these nonlinear SPDE models and to contro l the weak error of the SPDE approximation with respect to the particle sy stem using the technique of transport equations on the space of probabilit y measures. This is the joint work with H. Kremp\, N. Perkowski and J. Xia ohao. Furthermore\, we will discuss possible numerical methods for these p roblems. In particular\, we will focus on hybrid methods. This is a joint work with A. Almgren and J. Bell.

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For further information about the seminar\, please visit this webpage.

DTEND;TZID=Europe/Zurich:20241220T120000 END:VEVENT END:VCALENDAR