Frontiers in Numerical Relativity

This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.

Charles R. Evans (Edited by), Lee S. Finn (Edited by), David W. Hobill (Edited by)

9780521115957, Cambridge University Press

Paperback, published 9 June 2011

450 pages
24.4 x 17 x 2.3 cm, 0.71 kg

First published in 1989, this book is comprised of invited contributions from speakers at the international workshop, Frontiers in Numerical Relativity, held at the University of Illinois, Urbana-Champaign, in May 1988. Advances in supercomputer technology and computational algorithms have stimulated rapid progress in attempts to understand, through numerical means, such diverse phenomena as gravitational radiation emission from astrophysical sources, the evolution of inhomogenous cosmologies and its effects on nucleosynthesis, cosmic string interactions, the formation of 'naked singularities' and the cosmic censorship conjecture and the dynamics of black holes. The book should be of interest to researchers and graduate students in the field of general relativity, astrophysics and applied numerical analysis who wish to understand developments in computer studies of general relativity at the time of publication.

Preface
Participants
Introduction
1. Supercomputing and numerical relativity: a look at the past, present and future David W. Hobill and Larry L. Smarr
2. Computational relativity in two and three dimensions Stuart L. Shapiro and Saul A. Teukolsky
3. Slowly moving maximally charged black holes Robert C. Ferrell and Douglas M. Eardley
4. Kepler's third law in general relativity Steven Detweiler
5. Black hole spacetimes: testing numerical relativity David H. Bernstein, David W. Hobill and Larry L. Smarr
6. Three dimensional initial data of numerical relativity Ken-ichi Oohara and Takashi Nakamura
7. Initial data for collisions of black holes and other gravitational miscellany James W. York, Jr.
8. Analytic-numerical matching for gravitational waveform extraction Andrew M. Abrahams
9. Supernovae, gravitational radiation and the quadrupole formula L. S. Finn
10. Gravitational radiation from perturbations of stellar core collapse models Edward Seidel and Thomas Moore
11. General relativistic implicit radiation hydrodynamics in polar sliced space-time Paul J. Schinder
12. General relativistic radiation hydrodynamics in spherically symmetric spacetimes A. Mezzacappa and R. A. Matzner
13. Constraint preserving transport for magnetohydrodynamics John F. Hawley and Charles R. Evans
14. Enforcing the momentum constraints during axisymmetric spacelike simulations Charles R. Evans
15. Experiences with an adaptive mesh refinement algorithm in numerical relativity Matthew W. Choptuik
16. The multigrid technique Gregory B. Cook
17. Finite element methods in numerical relativity P. J. Mann
18. Pseudo-spectral methods applied to gravitational collapse Silvano Bonazzola and Jean-Alain Marck
19. Methods in 3D numerical relativity Takashi Nakamura and Ken-ichi Oohara
20. Nonaxisymmetric rotating gravitational collapse and gravitational radiation Richard F. Stark
21. Nonaxisymmetric neutron star collisions: initial results using smooth particle hydrodynamics Christopher S. Kochanek and Charles R. Evans
22. Relativistic hydrodynamics James R. Wilson and Grant J. Mathews
23. Computational dynamics of U(1) gauge strings: probability of reconnection of cosmic strings Richard A. Matzner
24. Dynamically inhomogenous cosmic nucleosynthesis Hannu Kurki-Suonio
25. Initial value solutions in planar cosmologies Peter Anninos, Joan Centrella and Richard Matzner
26. An algorithmic overview of an Einstein solver Roger Ove
27. A PDE compiler for full-metric numerical relativity Jonathan Thornburg
28. Numerical evolution on null cones R. Gomez and J. Winicour
29. Normal modes coupled to gravitational waves in a relativistic star Yasufumi Kojima
30. Cosmic censorship and numerical relativity Dalia S. Goldwirth, Amos Ori and Tsvi Piran.

Subject Areas: Physics [PH]