9 citations · 10 across the 3 of their papers we have counts for
4 papers
Staticity, Self-Similarity and Critical Phenomena in a Self-Gravitating Nonlinear Sigma Model
Christiane Lechner
The main part of the thesis deals with continuously and discretely self-similar solutions and type II critical phenomena in a family of self-gravitating non-linear sigma-models. Th…
From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity
Christiane Lechner, Dana Alic, Sascha Husa
In this paper we present our recent work in developing a computer-algebra tool for systems of partial differential equations (PDEs), termed "Kranc". Our work is motivated by the pr…
Computer Algebra Applications for Numerical Relativity
Sascha Husa, Christiane Lechner
We discuss the application of computer algebra to problems commonly arising in numerical relativity, such as the derivation of 3+1-splits, manipulation of evolution equations and a…
Episodic Self-Similarity in Critical Gravitational Collapse
J. Thornburg, Ch. Lechner, M. Purrer +2
We report on a new behavior found in numerical simulations of spherically symmetric gravitational collapse in self-gravitating SU(2) sigma models at intermediate gravitational coup…