Full Index for Scripted foilset 
| This describes the structure of Numerical Relativity as a set of differential equations but it does discuss state of the art solvers involving adaptive meshes |
| Basic Motivation of General Relativity and its experimental tests |
| Metric Tensor, its derivatives and Einstein's equations |
| Initial value formulation and structure of elliptic and hyperbolic equations |
| Examination of particular finite difference scheme for the Wave equation in three dimensions -- a study to understand large distances issues in solving numerical relativity |
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CPS713 Module on Numerical Simulation of the Collision of two Black Holes as part of Case Study (II) on CFD and Numerical Relativity
Abstract of Module on Numerical Simulation of the Collision of two Black Holes
References for CPS713 Module on Numerical Simulation of the Collision of two Black Holes
The Spirit of General Relativity as a Description of Gravitational Forces as the Structure of Space-Time
General Relativity as a Theory of Distorted Space-Time
The Space-Time Structure Created by a Heavy Bowling Ball
The Path of a Marble in a Distorted Space-Time
Basic Notation for Numerical Formulation of Einstein's Equations
The Metric Tensor in Einstein's Formulation of General Relativity-I
The Metric Tensor in Einstein's Formulation of General Relativity-II
Why Study General Relativity Numerically
An Example of Gravitational Waveforms
Two Polarizations of Gravitational Waveforms
A schematic view of a LIGO Interferometer
Schematic Layout of the Initial LIGO facilities
Expected Total Noise in each of LIGO's first 4km interferometers
Expected Signal versus Noise in Gravitational Wave Detectors
Some Tests of General Relativity
More Tests of General Relativity
Equivalence Principle
Initial Value Formulation of General Relativity
Projection of Einstein's Equations onto Spacial Surfaces
Structure of Einstein's Equations in Initial Formulation
Linearization of Time Evolution Equations for q ij
Structure of Numerical Relativity Equations in terms of 3 by 3 matrices q and K
Coodinate and Foliation Choices in General Relativity
The Lapse and Shift in Gauge Transformations
Geometrical Picture for Lapse and Shift Gauge Transformations
Notation for Einstein's Equations in Initial Value Formulation
The Four Elliptic Constraint Equations in Initial Value Formulation of Einstein's Equations
The Twelve Hyperbolic Evolution Equations in Initial Value Formulation of Einstein's Equations
A benchmark Numerical Relativity problem
Characteristic Surfaces and Key Features of Pittsburgh Approach
Numerical Formulation of Three Dimensional Wave Equation in Polar Coordinates
Compactification and Computational Variables for Three Dimensional Wave Equation
Final Computational Formulation of Pittsburgh Benchmark
Final Computational Formulation of Pittsburgh Benchmark -- Diagram
Discretization of Computational Formulation of 3D Wave Equation
Finite Volume Integral Formulation of Differencing Equations
Stable Finite Difference Form of Discretized Pittsburgh Wave Equations-I
Stable Finite Difference Form of Discretized Pittsburgh WaveEquations-II Full WebWisdom URL and this Foilset Search
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