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This monograph originated from a course given at the State Universities of Krasnoyarsk and Novosibirsk; an early version appeared as 'Methods of Computational Mathematics' by the first author and was published by Nauka Publishing House, 1977 (in Russian). At the beginning of the century, Richardson introduced a completely new technique, based on extrapolation, for increasing the accuracy of numerical solutions of linear problems. This technique is now known as Richardson's method. For a long time this method has been used rather heuristically, without a proper theoretical basis. The objective of the present monograph is to develop some general approaches to using the Richardson method for a wide range of problems in mathematical physics, and to formulate requirements which ensure the efficacy of its application. The work presents both the theoretical foundations and practical aspects of the method and provides the first coherent, general description of Richardson's method. The exposition of the material is clear and the only prerequisites required of the reader are a sound course in calculus, some acquaintance with functional analysis, and an introductory course in numerical analys

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Publisher

Springer Netherlands; Springer-Verlag; Springer Science and Business Media LLC; Society for Mining, Metallurgy and Exploration Inc. (ISSN 0167-8019)

Published

1986

Language

EN

Field

Mathematics (Physical Sciences)