
Abstract 
1 
Introduction 
2 
The Characteristic Initial Value Problem 

2.1 
The
worldtubenullcone problem 
3 
Prototype Characteristic Evolution
Codes 

3.1 
{1 + 1}dimensional codes 

3.2 
{2 + 1}dimensional codes 

3.3 
The Bondi
problem 

3.4 
The Bondi mass 
4 
3D Characteristic Evolution 

4.1 
Coordinatization
of the sphere 

4.2 
Geometrical formalism 

4.3 
Characteristic treatment of
binary black holes 

4.4 
Perturbations of Schwarzschild 

4.5 
Nonlinear mode
coupling 

4.6 
3D Einstein–Klein–Gordon system 
5 
CauchyCharacteristic
Matching 

5.1 
Computational boundaries 

5.2 
The computational
matching strategy 

5.3 
The outer Cauchy boundary in numerical
relativity 

5.4 
Perturbative matching schemes 

5.5 
Cauchycharacteristic
matching for 1D gravitational systems 

5.6 
Axisymmetric Cauchycharacteristic
matching 

5.7 
Cauchycharacteristic matching for 3D scalar waves 

5.8 
Stable
3D linearized Cauchycharacteristic matching 

5.9 
The binary blackhole inner
boundary 
6 
CauchyCharacteristic Extraction of Waveforms 

6.1 
Waveforms at
null infinity 

6.2 
Application of CCE to binary black hole inspirals 

6.3 
Application
of CCE to stellar collapse 

6.4 
LIGO accuracy standards 

6.5 
A community CCE
tool 

6.6 
Initial characteristic data for CCE 
7 
Numerical Hydrodynamics on
Null Cones 

7.1 
Sphericallysymmetric hydrodynamic codes 

7.2 
Axisymmetric
characteristic hydrodynamic simulations 

7.3 
Threedimensional characteristic
hydrodynamic simulations 

Acknowledgments 

References 

Updates 

Figures 