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Finite Difference Methods in Numerical Relativity | Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems | Mihaela Chirvasa | Taschenbuch | Englisch | VDM Verlag Dr. Müller - Chirvasa, Mihaela
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Chirvasa, Mihaela:

Finite Difference Methods in Numerical Relativity | Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems | Mihaela Chirvasa | Taschenbuch | Englisch | VDM Verlag Dr. Müller - Paperback

ISBN: 9783639288100

[ED: Taschenbuch], [PU: VDM Verlag Dr. Müller], This work concerns the development of high order accurate finite difference techniques for the discretization of hyperbolic systems that ar… More...

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Chirvasa, M: Finite Difference Methods in Numerical Relativi
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ISBN: 9783639288100

This work concerns the development of high order accurate finite difference techniques for the discretization of hyperbolic systems that are first order in time and second order in space.… More...

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Chirvasa, Mihaela:
Finite Difference Methods in Numerical Relativity - hardcover

2010

ISBN: 9783639288100

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Finite Difference Methods in Numerical Relativity: Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems - Chirvasa, Mihaela
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Chirvasa, Mihaela:
Finite Difference Methods in Numerical Relativity: Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems - Paperback

2010, ISBN: 9783639288100

VDM Verlag Dr. Müller, Paperback, 152 Seiten, Publiziert: 2010-09-01T00:00:01Z, Produktgruppe: Book, 0.23 kg, Physics, Science, Nature & Maths, Subjects, Books, Popular Science, Scientifi… More...

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Finite Difference Methods in Numerical Relativity - Paperback

2010, ISBN: 3639288106

[EAN: 9783639288100], Neubuch, [PU: - -], Books

NEW BOOK. Shipping costs: EUR 3.69 Chiron Media, Wallingford, United Kingdom [55661942] [Rating: 4 (von 5)]

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Finite Difference Methods in Numerical Relativity: Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems

This work concerns the development of high order accurate finite difference techniques for the discretization of hyperbolic systems that are first order in time and second order in space. Its motivation comes from numerical relativity where many current formulations of the Einstein equations have this form. It pays special attention to the case where some first order derivatives are approximated with non-centered finite difference operators. This case is important because in numerical simulations of black holes using the BSSN formulation, it has been observed that a one-point off-centering of the derivatives from the Lie terms is essential for the accuracy and the lifetime of the simulation. In the particular case of the shifted wave equation -a simple but very powerful tool in numerical relativity -it is shown here analytically that, although off-centered operators have larger truncation errors than the centered ones, there are indeed situations where off-centering is beneficial for accuracy. This system and yet another one- dimensional model (BSSN in spherical symmetry) are also investigated with respect to the numerical treatment of boundaries.

Details of the book - Finite Difference Methods in Numerical Relativity: Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems


EAN (ISBN-13): 9783639288100
ISBN (ISBN-10): 3639288106
Hardcover
Paperback
Publishing year: 2010
Publisher: VDM Verlag Dr. Müller

Book in our database since 2007-11-07T08:34:51+00:00 (London)
Detail page last modified on 2023-12-12T15:22:37+00:00 (London)
ISBN/EAN: 3639288106

ISBN - alternate spelling:
3-639-28810-6, 978-3-639-28810-0
Alternate spelling and related search-keywords:
Book title: hyperbolic space, relativity, finite difference methods, order time


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