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Frontiers in Numerical Relativity

Frontiers in Numerical Relativity

£53.99

David W. Hobill, Larry L. Smarr, Stuart L. Shapiro, Saul A. Teukolsky, Robert C. Ferrell, Douglas M. Eardley, Steven Detweiler, David H. Bernstein, Ken-ichi Oohara, Takashi Nakamura, James W. York, Jr., Andrew M. Abrahams, L. S. Finn Edward Seidel, Thomas Moore, Paul J. Schinder, A. Mezzacappa, R. A. Matzner, John F. Hawley, Charles R. Evans, Matthew W. Choptuik, Gregory B. Cook, P. J. Mann, Silvano Bonazzola, Jean-Alain Marck, Richard F. Stark, Christopher S. Kochanek, James R. Wilson, Grant J. Mathews, Hannu Kurki-Suonio, Peter Anninos, Joan Centrella, Roger Ove, Jonathan Thornburg, R. Gomez, J. Winicour, Yasufumi Kojima, Dalia S. Goldwirth, Amos Ori, Tsvi Piran
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  • Date Published: June 2011
  • availability: Available
  • format: Paperback
  • isbn: 9780521115957

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About the Authors
  • 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.

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    Product details

    • Date Published: June 2011
    • format: Paperback
    • isbn: 9780521115957
    • length: 450 pages
    • dimensions: 244 x 170 x 23 mm
    • weight: 0.71kg
    • availability: Available
  • Table of Contents

    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.

  • Editors

    Charles R. Evans

    Lee S. Finn

    David W. Hobill

    Contributors

    David W. Hobill, Larry L. Smarr, Stuart L. Shapiro, Saul A. Teukolsky, Robert C. Ferrell, Douglas M. Eardley, Steven Detweiler, David H. Bernstein, Ken-ichi Oohara, Takashi Nakamura, James W. York, Jr., Andrew M. Abrahams, L. S. Finn Edward Seidel, Thomas Moore, Paul J. Schinder, A. Mezzacappa, R. A. Matzner, John F. Hawley, Charles R. Evans, Matthew W. Choptuik, Gregory B. Cook, P. J. Mann, Silvano Bonazzola, Jean-Alain Marck, Richard F. Stark, Christopher S. Kochanek, James R. Wilson, Grant J. Mathews, Hannu Kurki-Suonio, Peter Anninos, Joan Centrella, Roger Ove, Jonathan Thornburg, R. Gomez, J. Winicour, Yasufumi Kojima, Dalia S. Goldwirth, Amos Ori, Tsvi Piran

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