Manuel Tiglio

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In the last decade, perturbation theory for black holes has played, in several different ways, a key role in numerical and computational relativity. Already in the seventies it proved to be a very valuable tool to predict gravitational waveforms from processes such as a particle falling towards a black hole. Since the early nineties, due to the network of(More)
David Brown,1 Peter Diener,2, 3 Olivier Sarbach,4 Erik Schnetter,3, 2 and Manuel Tiglio5, 6 Department of Physics, North Carolina State University, Raleigh, NC 27695, USA Department of Physics and Astronomy, Louisiana State University, Baton Rouge, LA, USA Center for Computation & Technology, Louisiana State University, Baton Rouge, LA, USA Instituto de(More)
We present an algorithm to generate application-specific, global reduced order quadratures (ROQ) for multiple fast evaluations of weighted inner products between parameterized functions. If a reduced basis (RB) or any other projection-based model reduction technique is applied, the dimensionality of integrands is reduced dramatically; however, the cost of(More)
We present two methods to include the asymptotic domain of a background spacetime in null directions for numerical solutions of evolution equations so that both the radiation extraction problem and the outer boundary problem are solved. The first method is based on the geometric conformal approach, the second is a coordinate based approach. We apply these(More)
Sarah Caudill, Scott E. Field, 3 Chad R. Galley, 5 Frank Herrmann, and Manuel Tiglio Department of Physics and Astronomy, Louisiana State University, LA 70803, USA Department of Physics, Brown University, Providence, RI 02912, USA Department of Physics, Maryland Center for Fundamental Physics, Joint Space Sciences Institute, Center for Scientific(More)
  • Enrique Pazos, David Brizuela, José M. Mart́ın-Garćıa, Manuel Tiglio
  • 2010
Enrique Pazos, 2 David Brizuela, José M. Mart́ın-Garćıa, 5 and Manuel Tiglio Center for Relativistic Astrophysics, School of Physics, Georgia Institute of Technology, 837 State Street, Atlanta, GA 30332-0430 Departamento de Matemática, Universidad de San Carlos de Guatemala, Edificio T4, Facultad de Ingenieŕıa, Ciudad Universitaria z. 12, Guatemala(More)
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 global and patch-local tensor bases. We describe both our multi-patch infrastructure and our time evolution scheme, and comment on adaptive time integrators and(More)