Description: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 typesWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Proper Orthogonal Decomposition Methods for Partial Differential Equations. To get started finding Proper Orthogonal Decomposition Methods for Partial Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.
Pages
280
Format
PDF, EPUB & Kindle Edition
Publisher
Academic Press
Release
2018
ISBN
EQnXykyqzeAC
Proper Orthogonal Decomposition Methods for Partial Differential Equations
Description: 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 typesWe have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Proper Orthogonal Decomposition Methods for Partial Differential Equations. To get started finding Proper Orthogonal Decomposition Methods for Partial Differential Equations, you are right to find our website which has a comprehensive collection of manuals listed. Our library is the biggest of these that have literally hundreds of thousands of different products represented.