This book introduces the subject of numerical methods for ordinary differential equations and deals in detail with Runge- Kutta and general linear methods. Although present differential equation software is dominated by implementations of linear multistep methods, so that Runge- Kutta methods are less widely used in practice, it is the author's claim that their potential efficacy has not yet been fully realised. By presenting a detailed analysis of these methods and of the less familiar class of general linear methods, it ...
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This book introduces the subject of numerical methods for ordinary differential equations and deals in detail with Runge- Kutta and general linear methods. Although present differential equation software is dominated by implementations of linear multistep methods, so that Runge- Kutta methods are less widely used in practice, it is the author's claim that their potential efficacy has not yet been fully realised. By presenting a detailed analysis of these methods and of the less familiar class of general linear methods, it is hoped to foster further interest in their implementation. It contains an analysis of the order conditions for Runge- Kutta methods using a combinatorial approach and shows how the analysis extends to general linear methods. It also deals with recent work on such topics as nonlinear stability for differential equations algorithms and looks in detail at practical questions related to efficient implementation. A substantial bibliography, fully comprehensive up to 1982, is included.
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Add this copy of Numerical Methods for Ordinary Differential Equations to cart. $71.46, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 1987 by Wiley.
Add this copy of The Numerical Analysis of Ordinary Differential to cart. $135.00, very good condition, Sold by Second Story Books rated 4.0 out of 5 stars, ships from Rockville, MD, UNITED STATES, published 1987 by A Wiley Interscience Publication, John Wiley & Sons.
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Book. Octavo; VG; Hardcover; Spine, yellow with green print; Boards in yellow glossy paper with green print, slight wear to spine caps else clean and strong; Text block clean and tight; xv, 512 pages, illustrated (b&w). 1346724. FP New Rockville Stock.
