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 unknownsHelps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristicsEnables 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 (Mathematics in Science and Engineering)

Science & Math

Chen, Goong

Luo, Zhendong

Mathematics

Academic Press

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Books by Luo, Zhendong

See the best price to sell, buy, or rent books by Luo, Zhendong. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science and Engineering)