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General Linear Methods for Ordinary Differential Equations

Autor: Zdzislaw Jackiewicz

Język:

Oprawa: Twarda

Wydawca: John Wiley & Sons Inc

Dostępność: Dostępna u dostawcy w małych ilościach

Wysyłamy za 11-15 dni

671.21 zł

Learn to develop numerical methods for ordinary differential equations General Linear Methods for Or...

Informacje o książce

Autor

Zdzislaw Jackiewicz

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2009

strony

504

EAN

9780470408551

ISBN

0470408553

Enbook ID

04883321

Wydawca

John Wiley & Sons Inc

Waga

800

Wymiary

156 x 242 x 24

Pełny opis

Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering. The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of: * Differential equations and systems* Introduction to general linear methods (GLMs)* Diagonally implicit multistage integration methods (DIMSIMs)* Implementation of DIMSIMs* Two-step Runge-Kutta (TSRK) methods* Implementation of TSRK methods* GLMs with inherent Runge-Kutta stability (IRKS)* Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.

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