8 citations · 8 across the 1 of their papers we have counts for
3 papers
gr-qc2002★ 8 cited
Re-formulating the Einstein equations for stable numerical simulations: Formulation Problem in Numerical Relativity
Hisa-aki Shinkai, Gen Yoneda
We review recent efforts to re-formulate the Einstein equations for fully relativistic numerical simulations. The so-called numerical relativity (computational simulations in gener…
gr-qc2001
Will hyperbolic formulations help numerical relativity? - Experiments using Ashtekar's connection variables
Hisa-aki Shinkai, Gen Yoneda
In order to perform accurate and stable long-term numerical integration of the Einstein equations, several hyperbolic systems have been proposed. We here report our numerical compa…
gr-qc1997
Lorentzian dynamics in the Ashtekar gravity
Hisa-aki Shinkai, Gen Yoneda
We examine the advantages of the SO(3)-ADM (Ashtekar) formulation of general relativity, from the point of following the dynamics of the Lorentzian spacetime in direction of applyi…