Open AccessDissertation
Constrained evolution in numerical relativity
Matthew Anderson
- 01 Jan 2004
pp 3496
7
TL;DR: In this paper, the authors propose a method to solve the problem of "uniformity" and "uncertainty" in the context of health care, and propose a solution.
read more
Abstract: vi
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
Hyperbolicity and constrained evolution in linearized gravity
TL;DR: In this paper, the authors present an analysis for one method of constrained evolution, applied to a simple vacuum system, linearized gravitational waves, and give explicit analytical construction of the effect of initial data setting and constrained evolution for linearised gravitational waves.
3
Excising a boosted rotating black hole with overlapping grids
Gioel Calabrese,David Neilsen +1 more
TL;DR: In this article, the authors use the overlapping grids method to construct a fourth order accurate discretization of a first order reduction of the Klein-Gordon scalar field equation on a boosted spinning black hole blackground in axisymmetry.
References
Über die partiellen Differenzengleichungen der mathematischen Physik
TL;DR: In this paper, the authors present a Gebrauch bestimmt ausschließlich für den persönlichen, nicht kommerziellen Gebrauchs, which is a rechtschutzbestimmter gebrauch, and gilt vorbehaltlich der folgenden Einschränkungen.
4.2K
Republication of: The dynamics of general relativity
TL;DR: The Golden Oldie as discussed by the authors is an unretouched version of the Witten formulation of General Relativity, originally published as Chap. 7, pp. 227-264, in Gravitation: an introduction to current research, L. Witten, ed.
2.6K
•Book
Adaptive mesh refinement for hyperbolic partial differential equations
Marsha Berger,Joseph Oliger +1 more
- 01 Jan 1982
TL;DR: This work presents an adaptive method based on the idea of multiple, component grids for the solution of hyperbolic partial differential equations using finite difference techniques based upon Richardson-type estimates of the truncation error, which is a mesh refinement algorithm in time and space.
2.2K
Time Dependent Problems and Difference Methods
Bertil Gustafsson,Heinz-Otto Kreiss,Joseph Oliger +2 more
- 27 Sep 2013
TL;DR: Time-Dependent Problems and Difference Methods, Second Edition as discussed by the authors provides guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems, and provides a more useful analysis of numerical methods.
1.2K
Simulation of magnetohydrodynamic flows: A Constrained transport method
Charles R. Evans,John F. Hawley +1 more
TL;DR: In this paper, a nouvelle technique numerique, appelee methode du transport contraint, is presented, for etudier l'evolution de l'equation d'induction en fonction du flux magnetique.
1.2K