141 citations · 463 across the 15 of their papers we have counts for
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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…
Kranc: a Mathematica application to generate numerical codes for tensorial evolution equations
Sascha Husa, Ian Hinder, Christiane Lechner
We present a suite of Mathematica-based computer-algebra packages, termed "Kranc", which comprise a toolbox to convert (tensorial) systems of partial differential evolution equatio…
Toward standard testbeds for numerical relativity
Miguel Alcubierre, Gabrielle Allen, Carles Bona +18
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical r…
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…
A New Transition between Discrete and Continuous Self-Similarity in Critical Gravitational Collapse
Christiane Lechner, Jonathan Thornburg, Sascha Husa +1
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) -models. As the dimensionless coupling constant decreas…
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…