Implementation of standard testbeds for numerical relativity (2008)
Babiuc, Maria C., Husa, Sascha, Hinder, Ian, Lechner, Christiane, Schnetter, Erik, Szilagyi, Bela, ...
We discuss results that have been obtained from the implementation of the initial round of testbeds for numerical relativity which was proposed in the first paper of the Apples with Apples Alliance....
Husa, Sascha, Hinder, Ian, Lechner, Christiane
We present a suite of Mathematica-based computer-algebra packages, termed "Kranc", which comprise a toolbox to convert (tensorial) systems of partial differential evolution equations to parallelized...
Staticity, Self-Similarity and Critical Phenomena in a Self-Gravitating Nonlinear Sigma Model (2005)
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. The phenomena...
From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity (2004)
Lechner, Christiane, Alic, Dana, Husa, Sascha
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 problem of finding...
Husa, Sascha, Hinder, Ian, Lechner, Christiane
We present a suite of Mathematica-based computer-algebra packages, termed "Kranc", which comprise a toolbox to convert (tensorial) systems of partial differential evolution equations to parallelized...
Towards standard testbeds for numerical relativity (2004)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzmán, F. Siddhartha, ...
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 relativity community...
Toward standard testbeds for numerical relativity (2004)
Alcubierre,Miguel, Allen,Gabrielle, Bona,Carles, Fiske,David, Goodale,Tom, Guzman,F. Siddhartha, ...
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 relativity community...
Toward standard testbeds for numerical relativity (2004)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David R., Goodale, Tom, Guzman, F. Siddhartha, ...
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 relativity community...
Toward standard testbeds for numerical relativity (2003)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzman, F. Siddharta, ...
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 relativity community...
Computer Algebra Applications for Numerical Relativity (2003)
Husa, Sascha, Lechner, Christiane
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 automatic code...
Type II Critical Phenomena of a Self-Gravitating Nonlinear Sigma Model (2003)
Lechner,Christiane, Thornburg,Jonathan, Husa,Sascha, Aichelburg,Peter C.
Type II Critical Phenomena of a Self-Gravitating Nonlinear Sigma Model (2003)
Lechner, Christiane, Thornburg, Jonathan, Husa, Sascha, Aichelburg, Peter C.
Lechner, Christiane, Thornburg, Jonathan, Husa, Sascha, Aichelburg, Peter C.
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) σ models. As the dimensionless coupling constant decreases, the critical...
Lechner,Christiane, Thornburg,Jonathan, Husa,Sascha, Aichelburg,Peter C.
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) sigma models. As the dimensionless coupling constant decreases, the critical...
Lechner, Christiane, Thornburg, Jonathan, Husa, Sascha, Aichelburg, Peter C.
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) sigma models. As the dimensionless coupling constant decreases, the critical...
Trends in der PTCD dargelegt an einem Kollektiv von 449 Patienten / (2002)
Mainz, Univ., Diss., 2002.
Lechner, Christiane, Thornburg, Jonathan, Husa, Sascha, Aichelburg, Peter C.
We analyze a bifurcation phenomenon associated with critical gravitational collapse in a family of self-gravitating SU(2) $\sigma$-models. As the dimensionless coupling constant decreases, the...
Type II Critical Collapse of a Self-Gravitating Nonlinear $\sigma$-Model (2000)
Husa, Sascha, Lechner, Christiane, Pürrer, Michael, Thornburg, Jonathan, Aichelburg, Peter C.
We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) $\sigma$-models coupled to gravity. Numerical investigations in spherical symmetry...
SU(2) Cosmological Solitons (2000)
Lechner, Christiane, Husa, Sascha, Aichelburg, Peter C.
We present a class of numerical solutions to the SU(2) nonlinear $\sigma$-model coupled to the Einstein equations with cosmological constant $\Lambda\geq 0$ in spherical symmetry. These solutions are...
Type II Critical Collapse of a Self-Gravitating Nonlinear Sigma Model (2000)
Husa,Sascha, Lechner,Christiane, Pürrer,Michael, Thornburg,Jonathan, Aichelburg,Peter C.
We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) sigma models coupled to gravity. Numerical investigations in spherical symmetry show...
SU(2) Cosmological Solitons (2000)
Lechner,Christiane, Aichelburg,Peter C.
We present a class of numerical solutions to the SU(2) nonlinear sigma model coupled to the Einstein equations with a cosmological constant Lambda>=0 in spherical symmetry. These solutions are...
Type II Critical Collapse of a Self-Gravitating Nonlinear Sigma Model (2000)
Husa, Sascha, Lechner, Christiane, Pürrer, Michael, Thornburg, Jonathan, Aichelburg, Peter C.
We report on the existence and phenomenology of type II critical collapse within the one-parameter family of SU(2) sigma models coupled to gravity. Numerical investigations in spherical symmetry show...
SU(2) Cosmological Solitons (2000)
Lechner, Christiane, Aichelburg, Peter C., Husa, S.
We present a class of numerical solutions to the SU(2) nonlinear sigma model coupled to the Einstein equations with a cosmological constant Lambda>=0 in spherical symmetry. These solutions are...
Sigma Model on de Sitter Space (1997)
Aichelburg, Peter C., Lechner, Christiane
We discuss spherically symmetric, static solutions to the SU(2) sigma model on a de Sitter background. Despite of its simplicity this model reflects many of the features exhibited by systems of...
Computer Algebra Applications for Numerical Relativity
Husa,Sascha, Lechner,Christiane
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 automatic code...
Kranc: a Mathematica application to generate numerical codes for tensorial evolution equations
Husa,Sascha, Hinder,Ian, Lechner,Christiane
We present a suite of Mathematica-based computer-algebra packages, termed "Kranc", which comprise a toolbox to convert (tensorial) systems of partial differential evolution equations to parallelized...
Computer Algebra Applications for Numerical Relativity
Husa, Sascha, Lechner, Christiane
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 automatic code...
From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity
Lechner, Christiane, Alic, D., Husa, Sascha
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 problem of finding...