Living Reviews in Relativity

"Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations"
by
Olivier Sarbach and Manuel Tiglio 

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Abstract
1 Introduction
2 Notation and Conventions
3 The Initial-Value Problem
4 Initial-Value Formulations for Einstein’s Equations
5 Boundary Conditions: The Initial-Boundary Value Problem
6 Boundary Conditions for Einstein’s Equations
7 Numerical Stability
8 Spatial Approximations: Finite Differences
9 Spatial Approximations: Spectral Methods
10 Numerical Boundary Conditions
11 Domain Decomposition
12 Acknowledgements
Open References References
Footnotes
Figures
Tables