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Publications Influence

for an Introduction to General Relativity

- M. Tiglio
- 2011

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 you… Expand

289 25- PDF

Optimized High-Order Derivative and Dissipation Operators Satisfying Summation by Parts, and Applications in Three-dimensional Multi-block Evolutions

- P. Diener, Ernst Nils Dorband, E. Schnetter, M. Tiglio
- Mathematics, Physics
- J. Sci. Comput.
- 30 November 2005

TLDR

95 7- PDF

Continuum and Discrete Initial-Boundary Value Problems and Einstein’s Field Equations

- O. Sarbach, M. Tiglio
- Physics, Medicine
- Living reviews in relativity
- 29 March 2012

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. A… Expand

74 5- PDF

Gauge invariant perturbations of Schwarzschild black holes in horizon penetrating coordinates

- O. Sarbach, M. Tiglio
- Physics
- 18 April 2001

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 black… Expand

78 5- PDF

Two-Step Greedy Algorithm for Reduced Order Quadratures

- Harbir Antil, S. Field, F. Herrmann, R. H. Nochetto, M. Tiglio
- Mathematics, Computer Science
- J. Sci. Comput.
- 1 October 2012

TLDR

30 4- PDF

How far away is far enough for extracting numerical waveforms and how much do they depend on the extraction method

- Enrique Pazos, Ernst Nils Dorband, A. Nagar, C. Palenzuela, E. Schnetter, M. Tiglio
- Computer Science, Physics
- 22 December 2006

TLDR

27 4- PDF

Fast prediction and evaluation of gravitational waveforms using surrogate models

- S. Field, C. Galley, J. Hesthaven, Jason Kaye, M. Tiglio
- Physics, Computer Science
- ArXiv
- 16 August 2013

TLDR

70 3- PDF

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 effective… Expand

54 3- PDF

Multi-block simulations in general relativity: high-order discretizations, numerical stability and applications

- L. Lehner, Oscar A. Reula, M. Tiglio
- Physics
- 1 July 2005

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 suitable… Expand

73 2- PDF

A multi-block infrastructure for three-dimensional time-dependent numerical relativity

- E. Schnetter, P. Diener, Ernst Nils Dorband, M. Tiglio
- Physics
- 25 February 2006

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 of… Expand

82 2- PDF

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