Coupled Systems : Theory, Models, and Applications in Engineering / Juergen Geiser.

"In this monograph, we describe the theoretical and practical aspects of solving complicated and coupled models in engineering with analytical and numerical methods. Often such models are so delicate such that we need e cient solver methods to overcome the di culties. Therefore, we discuss the ideas...

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Bibliographic Details
Main Author: Geiser, Juergen (Author)
Language:English
Published: Boca Raton : CRC Press, 2014.
Series:Chapman & Hall/CRC numerical analysis and scientific computing series
Subjects:
Physical Description:xxiv, 289 pages : illustrations ; 24 cm.
Format: Book

MARC

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245 1 0 |a Coupled Systems :  |b Theory, Models, and Applications in Engineering /  |c Juergen Geiser. 
264 1 |a Boca Raton :  |b CRC Press,  |c 2014. 
264 4 |c ©2014 
300 |a xxiv, 289 pages :  |b illustrations ;  |c 24 cm. 
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490 0 |a Chapman & Hall/CRC numerical analysis and scientific computing series 
504 |a Includes bibliographical references (pages 257-283) and index. 
520 |a "In this monograph, we describe the theoretical and practical aspects of solving complicated and coupled models in engineering with analytical and numerical methods. Often such models are so delicate such that we need e cient solver methods to overcome the di culties. Therefore, we discuss the ideas of solving such multiscale and multiphysics problems with the help of splitting multiscale methods. We describe analytical and numerical methods in time and space for evolution equations that arise from engineering problems and their applications. The book gives an overview of coupled systems in applications: Coupling of separate scales: Micro- and macroscale problems (coupling separate scales) Coupling of multiple scales: Multiscale problems (homogenization of the scales) Coupling of logical scales: Multiphysics problems (multiple physical processes on a logical scale) The mathematical introduction describes the analytical and numerical methods which are used with respect to their e ectiveness, simplicity, stability and consistency. The algorithmic part discuss the methods, which are discussed with respect to their capability of solving problems in real-life applications to engineering tasks. In the experiment part, we present engineering problems with respect to the used code* and implementation. The idea is to consider a theoretical approach to coupled systems with novel and specialized single and multiple scale methods. We include iterative and embedded discretization schemes, which are used in multiphysics and *MATLAb an Simulink are registered trademarks of the The MathWorks, Inc"--  |c Provided by publisher. 
650 0 |a Couplings.  |0 http://id.loc.gov/authorities/subjects/sh85033498 
650 0 |a Multiscale modeling.  |0 http://id.loc.gov/authorities/subjects/sh2010012486 
650 0 |a Systems engineering.  |0 http://id.loc.gov/authorities/subjects/sh85131750 
650 0 |a Difference equations  |x Numerical solutions.  |0 http://id.loc.gov/authorities/subjects/sh85037880 
650 0 |a Homogenization (Differential equations)  |0 http://id.loc.gov/authorities/subjects/sh92002059 
650 7 |a MATHEMATICS / Advanced.  |2 bisacsh 
650 7 |a MATHEMATICS / Applied.  |2 bisacsh 
650 7 |a MATHEMATICS / Number Systems.  |2 bisacsh 
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