Proper Orthogonal Decomposition Methods for Partial Differential Equations

Download or Read online Proper Orthogonal Decomposition Methods for Partial Differential Equations full in PDF, ePub and kindle. This book written by Zhendong Luo and published by Academic Press which was released on 26 November 2018 with total pages 278. We cannot guarantee that Proper Orthogonal Decomposition Methods for Partial Differential Equations book is available in the library, click Get Book button to download or read online books. Join over 650.000 happy Readers and READ as many books as you like.

Proper Orthogonal Decomposition Methods for Partial Differential Equations
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Publisher : Academic Press
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ISBN : 9780128167991
Pages : 278 pages
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Download or Read Online Proper Orthogonal Decomposition Methods for Partial Differential Equations in PDF, Epub and Kindle

Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared using standard traditional methods. These models contain parabolic, hyperbolic and nonlinear systems of PDEs, suitable for the user to learn and adapt methods to their own R&D problems. Explains ways to reduce order for PDEs by means of the POD method so that reduced-order models have few unknowns Helps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristics Enables readers to apply and adapt the methods to solve similar problems for PDEs of hyperbolic, parabolic and nonlinear types

Proper Orthogonal Decomposition Methods for Partial Differential Equations

Proper Orthogonal Decomposition Methods for Partial Differential Equations evaluates the potential applications of POD reduced-order numerical methods in increasing computational efficiency, decreasing calculating load and alleviating the accumulation of truncation error in the computational process. Introduces the foundations of finite-differences, finite-elements and finite-volume-elements. Models of time-dependent PDEs are presented, with

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Reduced Basis Methods for Partial Differential Equations

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Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2018

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Snapshot Location in Proper Orthogonal Decomposition for Linear and Semi linear Parabolic Partial Differential Equations

It is well-known that the performance of POD and POD-DEIM methods depends on the selection of the snapshot locations. In this work, we consider the selections of the locations for POD and POD-DEIM snapshots for spatially semi-discretized linear or semi-linear parabolic PDEs. We present an approach that for a fixed

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