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Basics of Partial Difference Equation
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Numerical Relativity - Mathematical Formulation by Harald Pfeiffer
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- 1 Numerical relativity
- 2 How to simulate coalescing binary black holes?
- 3 Gravitational waves
- 4 Lecture plan
- 5 Numerical Relativity
- 6 Early & Brief History
- 7 2005 - Pretorius
- 8 Components of NR
- 9 Goal of NR
- 10 Projection into
- 11 Differential geometry w / in
- 12 Extrinsic curvature:
- 13 Adopted coordinates
- 14 Can also show
- 15 Further, all spatial objects objects collapse to 3 -D ones
- 16 Decomposing curvature & E. Egs.
- 17 Comments
- 18 Basics of Partial Difference Equation
- 19 Solving Constraints
- 20 Conformal trato
- 21 Side remark
- 22 Solved by e.g
- 23 BH momentum of spin : Transverse- traceless decomp of Kip
- 24 "Puncture initial data multi - BH boosted spinning BHS.
- 25 Evolutions -Strategies to modify equations
- 26 BSSN equations
- 27 Q&A
- 28 Note
- 29 Constraint damping
- 30 Q&A