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

2010, ISBN: 9783639288100

[ED: Taschenbuch / Paperback], [PU: VDM Verlag Dr. Müller], 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., [SC: 0.00], Neuware, gewerbliches Angebot

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Finite Difference Methods in Numerical Relativity - Mihaela Chirvasa
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ISBN: 9783639288100

ID: 121906715

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. Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, VDM Verlag

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Finite Difference Methods in Numerical Relativity - Mihaela Chirvasa
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Mihaela Chirvasa:
Finite Difference Methods in Numerical Relativity - neues Buch

ISBN: 9783639288100

ID: d25b13d3b336244b886f6d70e44db063

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. Bücher / Fremdsprachige Bücher / Englische Bücher 978-3-639-28810-0, VDM

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

ISBN: 3639288106

Taschenbuch, [EAN: 9783639288100], VDM Verlag Dr. Müller, VDM Verlag Dr. Müller, Book, [PU: VDM Verlag Dr. Müller], VDM Verlag Dr. Müller, 56375011, Physik, 56376011, Akustik & Schall, 56427011, Angewandte Physik, 56429011, Astrophysik & Raumforschung, 56428011, Biophysik, 56270011, Chaos & Systeme, 56090011, Chemische Physik, 56378011, Dynamik, 56414011, Elektromagnetismus, 56383011, Energie, 56422011, Entropie, 56398011, Festkörperphysik, 56127011, Geophysik, 56404011, Kernphysik, 56377011, Kosmologie, 56386011, Licht, 56421011, Maschinenbau & Technik, 56272011, Mathematische Physik, 56389011, Mechanik, 56390011, Molekularphysik, 56391011, Nanostrukturen, 56392011, Optik, 56397011, Quantentheorie, 56393011, Relativität, 56385011, Schwerkraft, 1320310031, Statik, 56395011, Systemtheorie, 56396011, Wellen & Wellenmechanik, 56201011, Zeit, 56047011, Wissenschaft, 54071011, Genres, 52044011, Fremdsprachige Bücher

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

2010, ISBN: 3639288106

Gebundene Ausgabe, ID: 9011771

Discretization of 1st Order in Time, 2nd Order in Space Hyperbolic Systems - Buch, gebundene Ausgabe, 152 S., Beilagen: Paperback, Erschienen: 2010 VDM Verlag, [PU: VDM Verlag Dr. Müller, Saarbrücken]

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Finite Difference Methods in Numerical Relativity
Autor:

Chirvasa, Mihaela

Titel:

Finite Difference Methods in Numerical Relativity

ISBN-Nummer:

3639288106

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.

Detailangaben zum Buch - Finite Difference Methods in Numerical Relativity


EAN (ISBN-13): 9783639288100
ISBN (ISBN-10): 3639288106
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: VDM Verlag

Buch in der Datenbank seit 07.11.2007 09:34:51
Buch zuletzt gefunden am 14.11.2016 14:00:10
ISBN/EAN: 3639288106

ISBN - alternative Schreibweisen:
3-639-28810-6, 978-3-639-28810-0

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