Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science & Engineering) - Tapa blanda

Luo, Zhendong; Chen, Goong

 
9780128167984: Proper Orthogonal Decomposition Methods for Partial Differential Equations (Mathematics in Science & Engineering)
Tapa blanda
ISBN 10: 012816798X ISBN 13: 9780128167984
Editorial: Academic Press, 2018

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Zhendong Luo is Professor of Mathematics at North China Electric Power University, Beijing, China. Luo is heavily involved in the areas of Optimizing Numerical Methods of PDEs; Finite Element Methods; Finite Difference Scheme; Finite Volume Element Methods; Spectral-Finite Methods; and Computational Fluid Dynamics. For the last 12 years, Luo has worked mainly on Reduced Order Numerical Methods based on Proper Orthogonal Decomposition Technique for Time Dependent Partial Differential Equations.

De la contraportada

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. The work is self-contained. At the beginning of each chapter, the foundations of finite-differences, finite-elements and finite-volume-elements are introduced. Models are time-dependent PDEs are presented, with detailed numerical procedures, implementation and error analysis. Output numerical data are plotted in graphics and compared with those by the 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 problems across research and development.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Academic Press
Año de publicación
2018
Idioma
Inglés
ISBN 10 
012816798X
ISBN 13 
9780128167984
Encuadernación
Tapa blanda
Número de páginas
278
Contacto del fabricante
no disponible
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