General linear methods for ordinary differential equations
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Partitioned and Implicit-Explicit General Linear Methods for Ordinary Differential Equations
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Preview this item Preview this item. Beginning by examining differential calculus on a vector space, graphs, and combinatorics then looks at numerical methods for solving initial value problems through discussions of particular classes of methods as generalizations of Euler. This information serves as background to the detailed study of Runge-Kutta that follows and, using this as a theoretical framework, discusses general linear methods, providing a means of studying a wide range of interesting approaches in a unified manner.
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Read more Find a copy online Links to this item Table of contents Table of contents. Allow this favorite library to be seen by others Keep this favorite library private. Find a copy in the library Finding libraries that hold this item John Charles , Numerical analysis of ordinary differential equations.
Chichester ; New York : J. This book introduces the subject of numerical methods for ordinary differential equations and deals in detail with Runge- Kutta and general linear methods. 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.
General Linear Methods for Ordinary Differential Equations
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. Greenberg, Michael D. Bernstein, Matt A. Corduneanu, Constantin.