[ FreeCourseWeb ] General Linear Methods for Ordinary Differential Equations

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[ FreeCourseWeb.com ] General Linear Methods for Ordinary Differential Equations

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English | PDF | 2009 | 491 Pages | ISBN : 0470408553 | 18.43 MB

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)

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16.9 MB
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[ FreeCourseWeb ] General Linear Methods for Ordinary Differential Equations


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