[SEMINARI] Stability of Iterative Algorithms for Rotating and Binary Neutron Stars

[Enric Marco]

Stability of Iterative Algorithms for Rotating and Binary Neutron Stars

Charalampos Markakis

SFB/TR7 Gravitational Wave Astronomy, Theoretical Physics Institute,
University of Jena, Alemanya

Seminari del departament d'Astronomia i Astrofísica

Dijous 31 maig 2012

15:00

Resum

Similar methods have been used to construct models of rapidly rotating
or binary stars, in Newtonian and relativistic contexts. The choice of
method has been based on numerical experiments, which indicate that
particular methods converge quickly to a solution, while others
diverge. The theory underlying these differences, however, has not
been understood. In an attempt to provide a better theoretical
understanding, we analytically examine the behavior of different
iterative schemes near an exact static solution. We find the spectrum
of the linearized iteration operator and show for self-consistent
field methods that iterative instability corresponds to unstable modes
of this operator. Minimizing the maximum eigenvalue accelerates
convergence and allows computation of highly compact configurations
that were previously inaccessible via self-consistent field methods.

http://celeste.uv.es/daa/seminari.php.UTF8?id=1056
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Dr. Enric Marco
Departament d'Astronomia i Astrofísica
Facultat de Física
Universitat de València
C/  Dr. Moliner, 50
46100 Burjassot, Spain
Phone: (34)-96-354-3069
Fax:(34)-96-354-3084
enric.marco en uv.es
www.uv.es/marco
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