eBook - ePub
Proper Orthogonal Decomposition Methods for Partial Differential Equations
- 278 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Proper Orthogonal Decomposition Methods for Partial Differential Equations
About this book
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 unknowns
- Helps readers speed up computation and reduce computation load and memory requirements while numerically capturing system characteristics
- Enables readers to apply and adapt the methods to solve similar problems for PDEs of hyperbolic, parabolic and nonlinear types
Information
Table of contents
- Cover image
- Title page
- Table of Contents
- Copyright
- Foreword and Introduction
- 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
- Bibliography
- Index
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Yes, you can access Proper Orthogonal Decomposition Methods for Partial Differential Equations by Zhendong Luo,Goong Chen in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over 1.5 million books available in our catalogue for you to explore.