Parallel Step Control : Development of parallel algorithms of the step variation for simulation of stiff dynamic systems

Language: English

Published by LAP LAMBERT Academic Publishing, 2013

3659384259 / 9783659384257

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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.

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Title
Parallel Step Control : Development of parallel algorithms of the step variation for simulation of stiff dynamic systems
Author
Olga Dmitrieva
Publisher
LAP LAMBERT Academic Publishing
Publication year
2013
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659384259
ISBN 13
9783659384257
Item weight
125 grams
Dimensions
220x150x5 mm

AHA-BUCH GmbH

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