CAS Index

Workshop on

Numerical Aspects of Nonlinear PDEs of Hyperbolic Type

May 26 & 27, 2009

 

Organizing committee:

Helge Holden and Kenneth H. Karlsen

Venue:

Hotel Gabelshus,
Gabels gate 16, 0272 Oslo

 

 


The workshop is part of the basic research program Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters for the academic year 2008-09.

 

Nonlinear partial differential equations (PDEs) of hyperbolic type are of fundamental importance in science and engineering, including fluid dynamics, acoustics, elastodynamics, geophysics, astrophysics, and many other disciplines. Closed form solutions are not available and numerical methods (finite difference, finite volume, finite element, etc.) have to be applied. The field of analysis and justification of numerical methods (stability, compactness and convergence, a priori or a posteriori error estimates, etc.), which often requires the use of sophisticated mathematics, has seen many advances in recent years. Besides providing a rigorous foundation, at least in the context of simplified model PDEs, the involved mathematical analysis tends to suggest design principles for constructing stable and powerful computational techniques for complex problems arising in realistic applications, for which rigorous analysis is out of reach. The purpose of the workshop is to bring together experts and junior researchers to discuss new trends and activities in numerical analysis, algorithms and applications of hyperbolic and related PDEs.

 

Speakers:

Frédéric Coquel (Paris)
Bruno Despres (Paris)
Volker Elling (Michigan)
James Glimm (Stony Brook)
Espen Jakobsen (Trondheim)
Dietmar Kröner (Freiburg)
Peter A. Markowich (Cambridge)
Roberto Natalini (Rome)
Andreas Prohl (Tübingen)
Anders Szepessy (Stockholm)
Eitan Tadmor (Maryland)
Manuel Torrilhon (Zürich)
Gerald Warnecke (Magdeburg)

Poster (pdf)
Poster

 

Registration:

Please send email to Kenneth H. Karlsen
There is no registration fee
Deadline: May 11, 2009

Accommodation:

Hotel Gabelshus, Gabelsgate 16, 0272 Oslo.
Please make your reservation by e-mail to Marit Finnemyhr Strøm at CAS
Deadline: May 11, 2009

 

Limited funds exist for partial support for young scientists

 

Program:

Tuesday 26. May

09:00-09:45 James Glimm
"Mathematical and Numerical Principles for Turbulent mixing" Abstract
09:45-10:15 Coffee and cake
10:30-11:15 Anders Szepessy
"Accuracy and shock waves in molecular dynamics" Abstract
11:15-12:00 Dietmar Kröner
"Jump conditions across phase boundaries for the Navier-Stokes-Korteweg equation" Abstract
12:00-13:15 Lunch
13:15-14:00 Frédéric Coquel
"Coupling of nonlinear hyperbolic systems" Abstract
14:15-15:00 Espen Jakobsen
"Semi Lagrangian schemes for linear and fully nonlinear diffusion equations" Abstract
15:00-15:30 Coffee and fruit
15:30-16:15 Manuel Torrilhon
"Compact Higher Order Finite Volume Methods: Third Order Limiter Functions and Local Constraint Preservation" Abstract
16:15-17:00 Roberto Natalini
"Asymptotic high order methods for hyperbolic problems with sources" Abstract
19:00 CONFERENCE DINNER
                  
Wednesday 27. May
09:00-09:45 Peter A. Markowich
"On Nonlinear Dispersive Equations in Periodic Structures: Semiclassical Limits and Numerical Schemes" Abstract
09:45-10:15 Coffee and cake
10:15-11:00 Andreas Prohl
"Convergent discretizations of wave maps into spheres" Abstract
11:15-12:00 Bruno Despres
"The Mathematical Structure of Cell Centered Lagrangian Compressible Schemes" Abstract
12:00-13:15 Lunch
13:15-14:00 Volker Elling
"Non-uniqueness of entropy solutions and the carbuncle phenomenon" Abstract
14:15-15:00 Gerald Warnecke
"The cell average method and other schemes for the computation of population balance equations" Abstract
15:00-15:30 Coffee and fruit
15:30-16:15 Eitan Tadmor
"On Nonlinear Entropy Stability" Abstract

 

 

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