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Numerical Methods for Ordinary Differential Equations
In recent years the study of numerical methods for solving ordinary differential equations has seen many new developments. This second edition of the author's pioneering text is fully revised and updated to acknowledge many of these developments. It includes a complete treatment of linear multistep methods whilst maintaining its unique and comprehensive emphasis on Runge-Kutta methods 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 especially demanding. Early chapters provide a wide-ranging introduction to differential equations and difference equations together with a survey of numerical differential ...
Numerical Methods for Ordinary Differential Equations
This new book updates the exceptionally popular Numerical Analysis of Ordinary Differential Equations. "This book is...an indispensible reference for any researcher."-American Mathematical Society on the First Edition. Features: * New exercises included in each chapter. * Author is widely regarded as the world expert on Runge-Kutta methods * Didactic aspects of the book have been enhanced by interspersing the text with exercises. * Updated Bibliography.
B-Series
B-series, also known as Butcher series, are an algebraic tool for analysing solutions to ordinary differential equations, including approximate solutions. Through the formulation and manipulation of these series, properties of numerical methods can be assessed. Runge–Kutta methods, in particular, depend on B-series for a clean and elegant approach to the derivation of high order and efficient methods. However, the utility of B-series goes much further and opens a path to the design and construction of highly accurate and efficient multivalue methods. This book offers a self-contained introduction to B-series by a pioneer of the subject. After a preliminary chapter providing background on d...
The Closing of the Frontier
The first book on the history of the marine fisheries of Southeast Asia, this book takes as its theme the movement of fisheries into new fishing grounds, particularly the diverse ecosystems that make up the seas of Southeast Asia.
Butcher's Crossing
**NOW A MAJOR FILM** BY THE AUTHOR OF STONER Will Andrews is no academic. He longs for wildness, freedom, hope and vigour. He leaves Harvard and sets out for the West to discover a new way of living. In a small town called Butcher's Crossing he meets a hunter with a story of a lost herd of buffalo in a remote Colorado valley, just waiting to be taken by a team of men brave and crazy enough to find them. Will makes up his mind to be one of those men, but the journey, the killing, harsh conditions and sheer hard luck will test his mind and body to their limits.
The Numerical Analysis of Ordinary Differential Equations
Mathematical and computational introduction. The Euler method and its generalizations. Analysis of Runge-Kutta methods. General linear methods.
