3.1 {1 + 1}-dimensional codes

3.1.1 Adaptive mesh refinement

3.2 {2 + 1}-dimensional codes

3.3 The Bondi problem

3.3.1 The conformal-null tetrad approach

3.3.2 Axisymmetric mode coupling

3.3.3 Twisting axisymmetry

3.4 The Bondi mass

3.5 3D characteristic evolution

3.5.1 Geometrical formalism

3.5.2 Numerical methodology

3.5.3 Stability

3.5.4 Accuracy

3.5.5 First versus second differential order

3.5.6 Nonlinear scattering off a Schwarzschild black hole

3.5.7 Black hole in a box

3.6 Characteristic treatment of binary black holes

3.7 Perturbations of Schwarzschild

3.7.1 Close approximation white hole and black hole waveforms

3.7.2 Fissioning white hole

3.8 Nonlinear mode coupling

3.9 3D Einstein-Klein-Gordon system

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