ELFT HÍRADÓ

[Somogyi Gábor <somogyi.gabor AT wigner.hu>]

Wigner FK RMI Elméleti Osztály Szemináriuma
Tisztelettel meghívjuk


           Shalabh Gautam
           (Group of Analysis and Geometry, Beijing Institute of Mathematical 
Sciences and Applications)


"3D Summation-By-Parts Schemes on Hyperboloidal Slices”


címmel tartandó szemináriumára.


Kivonat:



This talk addresses the numerical part of attaining a stable evolution of the 
hyperboloidal initial value problems for long times. I  will describe a fully 
3-dimensional Summation-By-Parts (SBP) scheme for a class of linear wave 
equations on hyperboloidal slices, on a Minkowski background, all derived in 
spherical polar coordinates. The major strength of this scheme is that it is 
provably stable, and allows having grid points at the origin and on the 
z-axis, despite coordinate singularities, and at infinity, despite a formal 
singularity arising due to compactification. Reducing it to a Cauchy problem 
on the standard Cauchy slices, or on finite spacelike slices with an outer 
boundary, is a straightforward exercise. Its generalizations to general, 
including dynamical, backgrounds is also proposed, which could also be used 
to evolve a general matter distribution, like fluids, etc.  Promising results 
are obtained, giving hope for application to the nonlinear systems, like the 
Einstein Field Equations.


Helye: Wigner FK RMI III. ép. Tanácsterem
Ideje: 2026 február 13. péntek d.u. 2 óra

Szívesen látunk minden érdeklődőt.


                     Somogyi Gábor