Parallel Step Control: Development of parallel algorithms of the step variation for simulation of stiff dynamic systems - Softcover
Inhaltsangabe
The work is devoted to the construction of efficient parallel algorithms of the integration step control in for simulation of dynamic objects. To select the optimum step size the paper proposes several parallel algorithms that are based on well-known, specially restructured methods of solving systems of ordinary differential equations. For these purposes, the parallel nested methods, explicit and implicit extrapolation schemes of variable order are used. As a criterion for the selection of the numerical scheme the inequalities which control accuracy and stability are used. When solving stiff problems, this allows at each step to select the optimum in terms of computational cost numerical scheme. Also the new difference block methods with the possibility of adapting the step, addressed at parallel implementation, are proposed. The basic idea, on which the design of block methods was based, is to obtain simultaneous approximations of the exact solution at points forming a block. On the basis of the proposed step size control algorithms test problems are implemented, the numerical solution of which provides the required accuracy with the maximum possible integration step.
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Über die Autorin bzw. den Autor
Olga Dmitrieva:Candidate of Science, associate professor of the department of Applied Mathematics and Information Science of Donetsk National Technical University, candidate for a doctor’s degreeLev Feldman:Doctor of Science, full professor of the department of Applied Mathematics and Information Science of Donetsk National Technical University
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Parallel Step Control
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LAP LAMBERT Academic Publishing Apr 2013, 2013
ISBN 10: 3659384259
ISBN 13: 9783659384257
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The work is devoted to the construction of efficient parallel algorithms of the integration step control in for simulation of dynamic objects. To select the optimum step size the paper proposes several parallel algorithms that are based on well-known, specially restructured methods of solving systems of ordinary differential equations. For these purposes, the parallel nested methods, explicit and implicit extrapolation schemes of variable order are used. As a criterion for the selection of the numerical scheme the inequalities which control accuracy and stability are used. When solving stiff problems, this allows at each step to select the optimum in terms of computational cost numerical scheme. Also the new difference block methods with the possibility of adapting the step, addressed at parallel implementation, are proposed. The basic idea, on which the design of block methods was based, is to obtain simultaneous approximations of the exact solution at points forming a block. On the basis of the proposed step size control algorithms test problems are implemented, the numerical solution of which provides the required accuracy with the maximum possible integration step. 72 pp. Englisch. Bestandsnummer des Verkäufers 9783659384257
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Parallel Step Control
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Parallel Step Control : Development of parallel algorithms of the step variation for simulation of stiff dynamic systems
Verlag:
LAP LAMBERT Academic Publishing, 2013
ISBN 10: 3659384259
ISBN 13: 9783659384257
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The work is devoted to the construction of efficient parallel algorithms of the integration step control in for simulation of dynamic objects. To select the optimum step size the paper proposes several parallel algorithms that are based on well-known, specially restructured methods of solving systems of ordinary differential equations. For these purposes, the parallel nested methods, explicit and implicit extrapolation schemes of variable order are used. As a criterion for the selection of the numerical scheme the inequalities which control accuracy and stability are used. When solving stiff problems, this allows at each step to select the optimum in terms of computational cost numerical scheme. Also the new difference block methods with the possibility of adapting the step, addressed at parallel implementation, are proposed. The basic idea, on which the design of block methods was based, is to obtain simultaneous approximations of the exact solution at points forming a block. On the basis of the proposed step size control algorithms test problems are implemented, the numerical solution of which provides the required accuracy with the maximum possible integration step. Bestandsnummer des Verkäufers 9783659384257
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Parallel Step Control
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LAP LAMBERT Academic Publishing Apr 2013, 2013
ISBN 10: 3659384259
ISBN 13: 9783659384257
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The work is devoted to the construction of efficient parallel algorithms of the integration step control in for simulation of dynamic objects. To select the optimum step size the paper proposes several parallel algorithms that are based on well-known, specially restructured methods of solving systems of ordinary differential equations. For these purposes, the parallel nested methods, explicit and implicit extrapolation schemes of variable order are used. As a criterion for the selection of the numerical scheme the inequalities which control accuracy and stability are used. When solving stiff problems, this allows at each step to select the optimum in terms of computational cost numerical scheme. Also the new difference block methods with the possibility of adapting the step, addressed at parallel implementation, are proposed. The basic idea, on which the design of block methods was based, is to obtain simultaneous approximations of the exact solution at points forming a block. On the basis of the proposed step size control algorithms test problems are implemented, the numerical solution of which provides the required accuracy with the maximum possible integration step.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 72 pp. Englisch. Bestandsnummer des Verkäufers 9783659384257
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Parallel Step Control | Development of parallel algorithms of the step variation for simulation of stiff dynamic systems
Verlag:
LAP LAMBERT Academic Publishing, 2013
ISBN 10: 3659384259
ISBN 13: 9783659384257
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Taschenbuch. Zustand: Neu. Parallel Step Control | Development of parallel algorithms of the step variation for simulation of stiff dynamic systems | Olga Dmitrieva (u. a.) | Taschenbuch | 72 S. | Englisch | 2013 | LAP LAMBERT Academic Publishing | EAN 9783659384257 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Bestandsnummer des Verkäufers 105952815
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