Abstract
There is a tendency to write the equations of general relativity as a first order symmetric system of time dependent partial differential equations. However, for numerical reasons, it might be advantageous to use a second order formulation like one obtained from the ADM equations. We shall discuss the wellposedness of the Cauchy problem for such systems and their advantage in numerical calculations.
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© 2002 Springer-Verlag Berlin Heidelberg
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Kreiss, HO., Ortiz, O.E. (2002). Some Mathematical and Numerical Questions Connected with First and Second Order Time-Dependent Systems of Partial Differential Equations. In: Frauendiener, J., Friedrich, H. (eds) The Conformal Structure of Space-Time. Lecture Notes in Physics, vol 604. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45818-2_19
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DOI: https://doi.org/10.1007/3-540-45818-2_19
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