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From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity

MPS-Authors

Lechner,  Christiane
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Alic,  Daniela
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Husa,  Sascha
Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0411063.pdf
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Citation

Lechner, C., Alic, D., & Husa, S. (2004). From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity. In Symbolic and numeric algorithms for scientific computation: SYNASC04, 6th international symposium, Timişoara, Romania, September 26 - 30, 2004; proceedings.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5F57-3
Abstract
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 solutions of the Einstein equations through numerical simulations. Kranc consists of Mathematica based computer-algebra packages, that facilitate the task of dealing with symbolic tensorial calculations and realize the conversion of systems of partial differential evolution equations into parallelized C or Fortran code.