Some Mathematical Problems in Numerical Relativity

  • Maria Babiuc
  • Béla Szilágyi
  • Jeffrey Winicour
Part of the Lecture Notes in Physics book series (LNP, volume 692)


The main goal of numerical relativity is the long time simulation of highly nonlinear spacetimes that cannot be treated by perturbation theory. This involves analytic, computational and physical issues. At present, the major impasses to achieving global simulations of physical usefulness are of an analytic/ computational nature. We present here some examples of how analytic insight can lend useful guidance for the improvement of numerical approaches.


Wave Packet Boundary Data Neumann Boundary Condition Cauchy Data Hamiltonian Constraint 
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Copyright information

© Springer 2006

Authors and Affiliations

  • Maria Babiuc
    • 1
  • Béla Szilágyi
    • 1
  • Jeffrey Winicour
    • 1
    • 2
  1. 1.Department of Physics and AstronomyUniversity of PittsburghPittsburghUSA
  2. 2.Max-Planck-Institut für GravitationsphysikGolmGermany

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