Kadath: a spectral solver for theoretical physics

Philippe Grandclement (1)

1 LUTH (UMR_8102) - Laboratoire Univers et Théories

Kadath is a library that implements spectral methods in a very modular manner. It is designed to solve a wide class of problems that arise in the context of theoretical physics. Several types of coordinates are implemented and additional geometries can be easily encoded. Partial differential equations of various types are discretized by means of spectral methods. The resulting system is solved using a Newton-Raphson iteration. Doing so, Kadath is able to deal with strongly non-linear situations. The algorithms are validated by applying the library to four different problems of contemporary physics, in the fields of gauge field theory and general relativity

Mots clés: Spectral methods; Theoretical physics; General relativity

Domaines: Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Théorie [hep-th]; Modélisation et simulation

Philippe Grandclement. Kadath: a spectral solver for theoretical physics. Journal of Computational Physics, 2010, 229, pp.3334-3357. ⟨10.1016/j.jcp.2010.01.005⟩. ⟨hal-00413920v2⟩