TY - BOOK AU - Luo,Zhendong AU - Chen,Goong TI - Proper orthogonal decomposition methods for partial differential equations T2 - Mathematics in Science and Engineering SN - 9780128167991 AV - QA374 U1 - 515.353 23 PY - 2019///] CY - London, United Kingdom PB - Academic Press, an imprint of Elsevier KW - Differential equations, Partial KW - Orthogonal decompositions N1 - Includes bibliographical references (pages 247-256) and index N2 - "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 UR - https://www.sciencedirect.com/science/book/9780128167984 ER -