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for an Introduction to General Relativity
Notes for introductory General Relativity. These are not intended to be a replacement for a textbook but the typeset version of (some version of) my lecture notes. Having said that, I hope that youExpand
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Optimized High-Order Derivative and Dissipation Operators Satisfying Summation by Parts, and Applications in Three-dimensional Multi-block Evolutions
TLDR
We construct optimized high-order finite differencing operators which satisfy summation by parts. Expand
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Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations
Many evolution problems in physics are described by partial differential equations on an infinite domain; therefore, one is interested in the solutions to such problems for a given initial dataset. AExpand
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Gauge invariant perturbations of Schwarzschild black holes in horizon penetrating coordinates
We derive a geometrical version of the Regge-Wheeler and Zerilli equations, which allows us to study gravitational perturbations on an arbitrary spherically symmetric slicing of a Schwarzschild blackExpand
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Two-Step Greedy Algorithm for Reduced Order Quadratures
TLDR
We present an algorithm to generate application-specific, global reduced order quadratures (ROQ) for multiple fast evaluations of weighted inner products between parameterized functions. Expand
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How far away is far enough for extracting numerical waveforms and how much do they depend on the extraction method
TLDR
We present a method for extracting gravitational waves from numerical spacetimes which generalizes and refines one of the standard methods based on the Regge-Wheeler-Zerilli perturbation formalism which improves both the accuracy of our simulations and of our extraction procedure. Expand
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Fast prediction and evaluation of gravitational waveforms using surrogate models
TLDR
We propose a solution to the problem of quickly and accurately predicting gravitational waveforms within any given physical model. Expand
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Radiation reaction and gravitational waves in the effective field theory approach
We compute the contribution to the Lagrangian from the leading order (2.5 post-Newtonian) radiation reaction and the quadrupolar gravitational waves emitted from a binary system using the effectiveExpand
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Multi-block simulations in general relativity: high-order discretizations, numerical stability and applications
The need to smoothly cover a computational domain of interest generically requires the adoption of several grids. To solve a given problem under this grid structure, one must ensure the suitableExpand
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A multi-block infrastructure for three-dimensional time-dependent numerical relativity
We describe a generic infrastructure for time evolution simulations in numerical relativity using multiple grid patches. After a motivation of this approach, we discuss the relative advantages ofExpand
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