ANM4 - Numerical Methods in General Relativity and Algebraic Computation |
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Speaker |
Kanatchikov, Igor |
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Co-autors |
Monika Pietrzyk (Polytechnika Warszawska, Poland & Edinburgh Parallel Computing Centre, Edinburgh, UK) |
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Talk Title |
On Multisymplectic Integrators in General Relativity |
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Abstract |
The discretization of De Donder - Weyl Hamiltonian form of PDEs has been shown to lead to the multisymplectic discretizations of PDEs which lead to fast, precise and robust integration schemes. I compare the computational effectiveness of such a scheme with the pseudospectral method in one specific case based on our previous work in nonlinear optics. I present the Do Donder-Weyl Hamiltonian formulation of General Relativity and its discrete version which leads to a multisymplectic integrator for GR. I also discuss the conceptual advantages of multisymplectic integrators in the context of General Relativity. |
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