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

Olga Dmitrieva (u. a.)

ISBN 10: 3659384259 / ISBN 13: 9783659384257

Published by LAP LAMBERT Academic Publishing, 2013

About this Item

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.

Seller Inventory # 105952815

Bibliographic Details

• Title: Parallel Step Control | Development of parallel algorithms of the step variation for simulation of stiff dynamic systems
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2013
• Language: English
• ISBN 10: 3659384259
• ISBN 13: 9783659384257
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 125 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.

About the Author

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