Asymptotics and extrapolation
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Bibliographic Information
Asymptotics and extrapolation
（Mathematical research = Mathematische Forschung, vol. 88）
Akademie Verlag, c1996
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Note
Includes bibliographical references (p. [308]-328) and index
Description and Table of Contents
Description
Extrapolation methods are used to accelerate the convergence of a given sequence of numbers, vectors or matrices. They play an important role in many branches of numerical analysis, such as approximation of functions, numerical integration, or discretization methods for ODEs. This text provides a detailed survey of linear extrapolation methods, investigates their properties and efficiency, and establishes some generalizations about them. The applicability of extrapolation methods is connected with the existence of an asymptotic expansion of the sequence under consideration. The first part of the book is therefore devoted to the investigation of asymptotic expansions and their appearance in very different fields.
Table of Contents
- Part 1 Asymptotic expansion: asymptotic systems and expansions
- geometric asymptotic expansions
- logarithmic asymptotic expansions. Part 2 Linear extrapolation methods: fundamental concepts and general philosophy
- error bounds, stopping rules and monotonicity
- generalizations and final remarks.
by "Nielsen BookData"