APCTP Winter School on Gravitation and Cosmology, Jan 17-18 2003, at Seoul, Korea.Lecture by Hisa-aki Shinkai (RIKEN)

## Introduction to Numerical Relativity

Lecture Plan and Download filesUpdated : 2003/1/20 2003/4/10

Chapter 1. Subjects of and for Numerical Relativity(about 30 min)Why Numerical Relativity?

Overview of Numerical Relativity

Gravitational Wave Physics (Why Blackholes/Neutron Stars?)Chapter 2. The Standard Cauchy Approach(about 2 hours +)The ADM formulation

How to construct initial data 1: Conformal approach

How to construct initial data 2: Thin-Sandwich approach

How to choose gauge conditions: slicing conditions

How to evolve the system: formulation problems

Chapter 3. Alternative Approaches(about 30 min)Full numerical, but different foliations

Several approximationsChapter 4. Unsolved problems(about 30 min)Gravitational Wave Physics and related problems

Conjecture Hunting -- reported and unreported issues --

Lecture Notes (pdf) Viewgraphs (pdf)

(from RIKEN site)All in one[43 pages, 1000K] (2003/4 revised) [not available] Chapter 1 only[17 pages, 4200K] Chapter 2 only[3+1/initial/gauge, 33 pages, 2000K]

[evolution part, 51 pages, 1700K]Chapter 3 only[25 pages, 3000K] Chapter 4 only[24 pages, 6000K]

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