Proper orthogonal decomposition methods for partial differential equations / Zhendong Luo, Goong Chen.
Material type:
TextSeries: Mathematics in science and engineeringPublisher: London, United Kingdom : Academic Press, an imprint of Elsevier, [2019]Copyright date: �2019Description: 1 online resource (xvi, 261 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 9780128167991; 0128167998Subject(s): Differential equations, Partial | Orthogonal decompositionsAdditional physical formats: Print version:: Proper orthogonal decomposition methods for partial differential equations.DDC classification: 515.353 LOC classification: QA374QA374 | .L86 2019eOnline resources: ScienceDirect Summary: "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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Includes bibliographical references (pages 247-256) and index.
Online resource; title from digital title page (ScienceDirect, viewed July 23, 2020).
"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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