Proper orthogonal decProper Orthogonal Decomposition Methods for Partial Differential Equations 1st Edition

Proper Orthogonal Decomposition Methods for Partial Differential Equations 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780128167984,9780128167991,012816798X,0128167998

Product details:

• ISBN-10: 0128167998
• ISBN-13: 9780128167991
• Author: Zhendong Luo, Goong Chen

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.

Table contents:

Chapter 1: Reduced-Order Extrapolation Finite Difference Schemes Based on Proper Orthogonal Decomposition

Chapter 2: Reduced-Order Extrapolation Finite Element Methods Based on Proper Orthogonal Decomposition

Chapter 3: Reduced-Order Extrapolation Finite Volume Element Methods Based on Proper Orthogonal Decomposition

Chapter 4: Epilogue and Outlook

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