"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
References
Footnotes
Figures
Tables