MS-Tu-D-24
Time integration of partial differential equations

Date: August 11
Time: 13:30--16:00
Room: 211

(Note: Click title to show the abstract.)

Organizer:
Ostermann, Alexander (Univ. of Innsbruck)
Einkemmer, Lukas (Univ. of Innsbruck)

Abstract: In recent years there has been much progress in the construction and analysis of new time discretization schemes for partial differential equations. As important developments, we mention exponential integrators and operator splitting methods. The former rely on the variation-of-constants formula and solve linear problems exactly. They are thus particularly suited for stiff and highly oscillatory semi-linear problems with small nonlinearity. The latter, although in use since many decades, are nowadays much better understood in terms of stability and convergence properties (e.g., order reduction due to boundary conditions). In addition, the conservation of geometric properties of solutions (i.e. the preservation of invariants and the long term behaviour of numerical approximations) is becoming increasingly important. In this regard, splitting methods have a great potential. The aim of this minisymposium is to present a stage for these ideas and new developments.


MS-Tu-D-24-1
13:30--14:00
Toolkit for building an efficient exponential integrator.
Tokman, Mayya (Univ. of California, Merced)


MS-Tu-D-24-2
14:00--14:30
A semi-Lagrangian discontinuous Galerkin approach for the Vlasov equation
Einkemmer, Lukas (Univ. of Innsbruck)


MS-Tu-D-24-3
14:30--15:00
High-order splitting methods for non-autonomous parabolic equations
Blanes, Sergio (Polytechnical Univ. of Valencia)


CP-Tu-D-24-4
15:00--15:20
New Preconditioned Exponential Time Integrators for Stiff Differential Equations
Luan, Vu Thai (Univ. of California, Merced)
Tokman, Mayya (Univ. of California, Merced)
Rainwater, Greg (Univ. of California, Merced)


CP-Tu-D-24-5
15:20--15:40
Stiffly Accurate Efficient Exponential Integrators of EPIRK-type
Rainwater, Greg (Univ. of California, Merced)
Tokman, Mayya (Univ. of California, Merced)


CP-Tu-D-24-6
15:40--16:00
A backward error analysis for the Leja method
Kandolf, Peter (Univ. of Innsbruck)
Ostermann, Alexander (Univ. of Innsbruck)

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Footnote:
Code: Type-Date-Time-Room No.
Type : IL=Invited Lecture, SL=Special Lectures, MS=Minisymposia, IM=Industrial Minisymposia, CP=Contributed Papers, PP=Posters
Date: Mo=Monday, Tu=Tuesday, We=Wednesday, Th=Thursday, Fr=Friday
Time : A=8:30-9:30, B=10:00-11:00, C=11:10-12:10, BC=10:00-12:10, D=13:30-15:30, E=16:00-18:00, F=19:00-20:00, G=12:10-13:30, H=15:30-16:00
Room No.: TBA