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Collocation method

About: Collocation method is a research topic. Over the lifetime, 12097 publications have been published within this topic receiving 315242 citations.


Papers
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Book
01 Jan 1958

5,552 citations

Book
01 Jan 1978
TL;DR: A self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and difference equations is given in this paper.
Abstract: This book gives a self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and difference equations. Parts and chapter titles are as follows: fundamentals - ordinary differential equations, difference equations; local analysis - approximate solution of linear differential equations, approximate solution of nonlinear differential equations, approximate solution of difference equations, asymptotic expansion of integrals; perturbation methods - perturbation series, summation series; and global analysis - boundary layer theory, WKB theory, multiple-scale analysis. An appendix of useful formulas is included. 147 figures, 43 tables. (RWR)

4,776 citations

Book ChapterDOI
01 Jan 2015

3,828 citations

Book
01 Jan 2010

3,684 citations


Network Information
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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023182
2022345
2021408
2020396
2019384
2018380