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Model Order Reduction: Theory, Research Aspects and Applications:
Model Order Reduction: Theory, Research Aspects and Applications (Mathematics in Industry / The European Consortium for Mathematics in Industry)
By Wilhelmus H.A. Schilders, Henk A. van der Vorst, Joost Rommes



Publisher: Springer
Number Of Pages: 472
Publication Date: 2008-09-01
ISBN-10 / ASIN: 3540788409
ISBN-13 / EAN: 9783540788409
Binding: Hardcover




The goal of this book is three-fold: it describes the basics of model order reduction and related aspects.

In numerical linear algebra, it covers both general and more specialized model order reduction techniques for linear and nonlinear systems, and it discusses the use of model order reduction techniques in a variety of practical applications. The book contains many recent advances in model order reduction, and presents several open problems for which techniques are still in development. It will serve as a source of inspiration for its readers, who will discover that model order reduction is a very exciting and lively field.
I Basic Concepts
Introduction to Model Order Reduction
Wil Schilders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Linear Systems, Eigenvalues, and Projection
Henk van der Vorst . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Part II Theory
Structure-Preserving Model Order Reduction of RCL Circuit Equations
Roland W. Freund . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
A Unified Krylov Projection Framework for Structure-Preserving
Model Reduction
Zhaojun Bai, Ren-cang Li, and Yangfeng Su . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75
Model Reduction via Proper Orthogonal Decomposition
Renⅴe Pinnau . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
PMTBR: A Family of Approximate Principal-components-like
Reduction Algorithms
Joel R. Phillips, Zhenhai Zhu, and L. Miguel Silveira . . . . . . . . . . . . . . . . . . . . . 111
A Survey on Model Reduction of Coupled Systems
Timo Reis and Tatjana Stykel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133
Space Mapping and Defect Correction
David Echeverrⅴ━a, Domenico Lahaye, and Piet W. Hemker . . . . . . . . . . . . . . . . . 157
Modal Approximation and Computation of Dominant Poles
Joost Rommes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177
VIII Contents
Some Preconditioning Techniques for Saddle Point Problems
Michele Benzi and Andrew J. Wathen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195
Time Variant Balancing and Nonlinear Balanced Realizations
E.I. Verriest . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213
Singular Value Analysis and Balanced Realizations for Nonlinear
Systems
Kenji Fujimoto and Jacquelien M.A. Scherpen. . . . . . . . . . . . . . . . . . . . . . . . . . . 251
Part III Research Aspects and Applications
Matrix Functions
Andreas Frommer and Valeria Simoncini . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275
Model Reduction of Interconnected Systems
Antoine Vandendorpe and Paul Van Dooren . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 305
Quadratic Inverse Eigenvalue Problem and Its Applications
to Model Updating . An Overview
Moody T. Chu.. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 323
Data-Driven Model Order Reduction Using Orthonormal Vector Fitting
Dirk Deschrijver and Tom Dhaene . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 341
Model-Order Reduction of High-Speed Interconnects Using Integrated
Congruence Transform
Emad Gad, Michel Nakhla, and Ram Achar . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361
Model Order Reduction for MEMS: Methodology and Computational
Environment for Electro-Thermal Models
Tamara Bechtold, Evgenii B. Rudnyi, and Jan G. Korvink . . . . . . . . . . . . . . . . . . 403
Model Order Reduction of Large RC Circuits
Nick P. van der Meijs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421
Reduced Order Models of On-Chip Passive Components
and Interconnects, Workbench and Test Structures
Daniel Ioan and Gabriela Ciuprina . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 469
Model Order Reduction_Theory, Research Aspects and Applications.part1

ص

Model Order Reduction_Theory, Research Aspects and Applications.part2
Thank you for the job,just wait for downloading
封面很酷
感谢楼主分享
:11bb :11bb :11bb :11bb
看样子是本好书,是不是可以有助于理解仿真时模型的近似。。。。
多谢楼主了。。。
:30bb :30bb
看样子是本好书,是不是可以有助于理解仿真时模型的近似。。。。
多谢楼主了。。。
:27bb :27bb :27bb :27bb
不但是新書
而且看起來非常新奇哦
看样子是本好书.............................................
:11bb :11bb 新书啊!!!一定下
谢谢分享!!!!!!!!!!!!!!!!!1
谢谢分享!!!!!!!!!!!!!!!!!!!!!!!!!!!
这种类型的书好像很少见啊  !!!!!!!!!!
我有一种不错的预感。。。。。。。。。。。
好多重复性的玩意。。。
找这本书好久了,终于找到了,非常感谢
thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
谢谢了@
:27bb 3# drjiachen
Thanks a lot!
3# drjiachen 终于找到了!!!!
Model Order Reduction_Theory, Research Aspects and Applications.part1
好东西
好像是关于图像处理方面的书
3Q3Q 最近在看這東西  不知道對我的研究有無幫助
反正多看有益
Thank you for the job,just wait for downloading
谢谢分享。不知道是论文汇集,还是经过作者思考后的书籍
我要看看,谢谢楼主
thank you very much
下载下来看看,怎么样
不知道在说什么 学习一下
看样子是本好书,是不是可以有助于理解仿真时模型的近似。。。。
多谢楼主了。。。
谢谢,看看!
好像是讨论建模方面的问题,这方面的书英文版不多,谢谢
感谢楼主分享
好书,谢谢楼主
好书要顶啊。
:19bb:49bb
找了好久了
这本书很好,非常感谢
thank you for your sharing
英文的数学书?有挑战性。
Thank you for the job,just wait for downloading
找了好多地方,就这里有我找的那篇文章
感谢楼主分享
先收藏
Thank you for your job!!
好东西
谢谢楼主的分享     thanks
哥顶的不是帖子,是寂寞!
great work
看看什么资料
分享万岁,谢谢楼主
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