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" Proper orthogonal decomposition methods for partial differential equations / "
Zhendong Luo, Goong Chen.
Document Type
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BL
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Record Number
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872544
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Main Entry
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Luo, Zhendong,School of Mathematics and Physics, North China Electric Power University
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Title & Author
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Proper orthogonal decomposition methods for partial differential equations /\ Zhendong Luo, Goong Chen.
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Publication Statement
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London, United Kingdom,: Academic Press, an imprint of Elsevier,, [2019]
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, ©2019
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Series Statement
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Mathematics in Science and Engineering
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Page. NO
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1 online resource (xvi, 261 pages) :: illustrations (some color).
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ISBN
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0128167998
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: 9780128167991
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012816798X
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9780128167984
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Bibliographies/Indexes
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Includes bibliographical references (pages 247-256) and index.
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Abstract
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"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."--Provided by publisher.
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Subject
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Differential equations, Partial.
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Subject
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Orthogonal decompositions.
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Subject
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Differential equations, Partial.
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Subject
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MATHEMATICS / Differential Equations / Partial.
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Subject
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Orthogonal decompositions.
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Dewey Classification
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515.353
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LC Classification
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QA374
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QA374.L86 2019e
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Added Entry
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Chen, Goong,1950-
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