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024 7 $a10.1007/978-3-7091-1794-1
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100   $a20140902d2014      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSeparated Representations and PGD-Based Model Reduction$b[electronic resource] $eFundamentals and Applications /$fedited by Francisco Chinesta, Pierre Ladevèze
205   $a1st ed. 2014.
210  1$aVienna :$cSpringer Vienna :$cImprint: Springer,$d2014.
215   $a1 online resource (234 p.)
225 1 $aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v554
300   $aDescription based upon print version of record.
311   $a3-7091-1793-3 
320   $aIncludes bibliographical references.
327   $aFrom the Contents: Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information -- Interpolation of reduced basis: a geometrical approach -- POD for non-linear models.
330   $aThe papers in this volume start with a description of  the construction of reduced models through a review of Proper Orthogonal Decomposition (POD) and reduced basis models, including their mathematical foundations and some challenging applications, then followed by a description of a  new generation of simulation strategies based on the use of separated representations (space-parameters, space-time, space-time-parameters, space-space,?), which have led to what is known as Proper Generalized Decomposition (PGD) techniques. The models can be enriched by treating parameters as additional coordinates, leading to fast and inexpensive online calculations based on richer offline parametric solutions. Separated representations are analyzed in detail in the course, from their mathematical foundations to their most spectacular applications. It is also shown how such an approximation could evolve into a new paradigm in computational science, enabling one to circumvent various computational issues in a vast array of applications in engineering science.
410  0$aCISM International Centre for Mechanical Sciences, Courses and Lectures,$x0254-1971 ;$v554
606   $aMechanics
606   $aMechanics, Applied
606   $aComputer mathematics
606   $aComputer-aided engineering
606   $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001
606   $aComputational Science and Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/M14026
606   $aComputer-Aided Engineering (CAD, CAE) and Design$3https://scigraph.springernature.com/ontologies/product-market-codes/I23044
615  0$aMechanics.
615  0$aMechanics, Applied.
615  0$aComputer mathematics.
615  0$aComputer-aided engineering.
615 14$aTheoretical and Applied Mechanics.
615 24$aComputational Science and Engineering.
615 24$aComputer-Aided Engineering (CAD, CAE) and Design.
676   $a004
676   $a620
676   $a620.00420285
676   $a620.1
702   $aChinesta$b Francisco$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aLadevèze$b Pierre$4edt$4http://id.loc.gov/vocabulary/relators/edt
906   $aBOOK
912   $a9910299759903321
996   $aSeparated Representations and PGD-Based Model Reduction$92204606
997   $aUNINA