Computational Technology Resources - CSETS

K. Meerbergen

K.U. Leuven, Department of Computer Science, Leuven, Belgium

doi:10.4203/csets.18.9

K. Meerbergen, "Fast Frequency Response Function Computation by Model Reduction Methods", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 9, pp 233-262, 2008. doi:10.4203/csets.18.9

Keywords: algebraic model reduction, Arnoldi method, Padé via Lanczos method, Krylov methods, iterative linear system solver, modal truncation.

Abstract

This chapter reviews numerical methods for efficiently computing frequency response functions. The focus is on the Padé via Lanczos and Arnoldi methods and their application to vibration problems, which may lead to significant speed-ups. Examples are given to illustrate the theory, as well as a bibliographical note for further study.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Computational Science, Engineering & Technology Series ISSN 1759-3158 CSETS: 18 COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS Edited by: F. Magoulès Chapter 9 Fast Frequency Response Function Computation by Model Reduction Methods K. Meerbergen K.U. Leuven, Department of Computer Science, Leuven, Belgium doi:10.4203/csets.18.9 purchase the full-text of this chapter Full Bibliographic Reference for this chapter K. Meerbergen, "Fast Frequency Response Function Computation by Model Reduction Methods", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 9, pp 233-262, 2008. doi:10.4203/csets.18.9 Keywords: algebraic model reduction, Arnoldi method, Padé via Lanczos method, Krylov methods, iterative linear system solver, modal truncation. Abstract This chapter reviews numerical methods for efficiently computing frequency response functions. The focus is on the Padé via Lanczos and Arnoldi methods and their application to vibration problems, which may lead to significant speed-ups. Examples are given to illustrate the theory, as well as a bibliographical note for further study. purchase the full-text of this chapter (price £25) go to the previous chapter go to the next chapter return to the table of contents return to the book description purchase this book (price £95 +P&P)
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