Acta Numerica 1999 (Volume 8) by Arieh Iserles

By Arieh Iserles

Numerical research, the main region of utilized arithmetic eager about utilizing pcs in comparing or approximating mathematical versions, is important to all purposes of arithmetic in technology and engineering. Acta Numerica every year surveys an important advancements in numerical research and medical computing. The considerable survey articles, selected by means of a wonderful overseas editorial board, record at the most crucial and well timed advances in a fashion available to the broader group of execs drawn to medical computing.

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D 52, 2059-2082. P. Anninos, G. Daues, J. Masso, E. -M. Suen (19956), 'Horizon boundary condition for black hole spacetimes', Phys. Rev. D 51, 5562-5578. NUMERICAL RELATIVITY 41 P. Anninos, D. Hobill, E. Seidel, L. -M. Suen (1993), 'Collision of two black holes', Phys. Rev. Lett. 71, 2851-2854. P. Anninos, D. W. Hobill, E. Seidel, L. -M. Suen (1995c), 'Head-on collision of two equal mass black holes', Phys. Rev. D 52, 2044-2058. D. N. Arnold, A. Mukherjee and L. Pouly (1998), Adaptive finite elements and colliding black holes, in Numerical Analysis 1997: Proceedings of the 11th Dundee Biennial Conference (D.

A. Scheel, T. W. Baumgarte, G. B. Cook, S. L. Shapiro and S. A. Teukolsky (1997), 'Numerical evolution of black holes with a hyperbolic formulation of general relativity', Phys. Rev. D 56, 6320-6335. M. A. Scheel, T. W. Baumgarte, G. B. Cook, S. L. Shapiro and S. A. Teukolsky (1998), 'Treating instabilities in a hyperbolic formulation of Einstein's equations', Phys. Rev. D 58, 044020. M. A. Scheel, S. L. Shapiro and S. A. Teukolsky (1995a), 'Collapse to black holes in Brans-Dicke theory I: Horizon boundary conditions for dynamical spacetimes', Phys.

R. Ipser (1976), 'On the structure and stability of rapidly rotating fluid bodies in general relativity I: The numerical method for computing structure and its application to uniformly rotating homogeneous bodies', Astrophys. J. 204, 200-233. M. W. Choptuik (1991), 'Consistency of finite-difference solutions of Einstein's equations', Phys. Rev. D 44, 3124-3135. M. W. Choptuik (1993), 'Universality and scaling in gravitational collapse of a massless scalar field', Phys. Rev. Lett. 70, 9-12. Y. Choquet-Bruhat and J.

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