Numerical Methods for Ordinary Differential Equations

Beschreibung

In recent years the study of numerical methods for solving ordinarydifferential equations has seen many new developments. This secondedition of the author's pioneering text is fully revised andupdated to acknowledge many of these developments. Itincludes a complete treatment of linear multistep methods whilstmaintaining its unique and comprehensive emphasis on Runge-Kuttamethods and general linear methods. Although the specialist topics are taken to an advanced level,the entry point to the volume as a whole is not especiallydemanding. Early chapters provide a wide-ranging introductionto differential equations and difference equations together with asurvey of numerical differential equation methods, based on thefundamental Euler method with more sophisticated methods presentedas generalizations of Euler. Features of the book include * Introductory work on differential and differenceequations. * A comprehensive introduction to the theory and practice ofsolving ordinary differential equations numerically. * A detailed analysis of Runge-Kutta methods and of linearmultistep methods. * A complete study of general linear methods from boththeoretical and practical points of view. * The latest results on practical general linear methods andtheir implementation. * A balance between informal discussion and rigorous mathematicalstyle. * Examples and exercises integrated into each chapter enhancingthe suitability of the book as a course text or a self-studytreatise. Written in a lucid style by one of the worlds leadingauthorities on numerical methods for ordinary differentialequations and drawing upon his vast experience, thisnew edition provides an accessible and self-containedintroduction, ideal for researchers and students following courseson numerical methods, engineering and other sciences.

Autor*in

J. C. Butcher

Themen in »Numerical Methods for Ordinary Differential Equations«

Applied Mathematics in Science Differential Equations Differentialgleichungen Mathematics Mathematik Mathematik in den Naturwissenschaften Numerical Methods Numerische Mathematik Numerische Methoden

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