##### Department of Mathematics,

University of California San Diego

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### Special Computational and Applied Math

## Dr. Carsten Gundlach

#### University of Southampton, U.K.

## Towards well-posed initial-boundary value problems for numerical relativity

##### Abstract:

I'll review how the stability of simulations in numerical relativity is related to having a well-posed continuum problem, and why well-posedness is not a property of the Einstein equations as such, but of the way in which they are formulated as an initial-boundary value (time evolution) problem. After reviewing the related concepts of well-posedness, strong hyperbolicity and symmetric hyperbolicity, I discuss applications to the Einstein equations, and in particular recent work. I conclude with an outlook on what strategies seem most promising to achieve well-posedness.

Host: Michael Holst

### November 12, 2004

### 1:00 PM

### AP&M 7321

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