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https://elib.bsu.by/handle/123456789/10148
Title: | Analytic iterative processes and numerical algorithms for stiff problems |
Authors: | Faleichik, B. V. |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
Issue Date: | 2008 |
Citation: | Faleichik B.V. Analytic iterative processes and numerical algorithms for stiff problems / B.V. Faleichik // Computational methods in applied mathematics. - 2008. - Vol.8, No.2. - P.116–129 |
Abstract: | The goal of the research is to construct practicable numerical algorithms for stiff systems of ordinary differential equations which let you increase the accuracy of the approximate solution without decreasing the length of the time interval. To achieve this goal, we have constructed a family of new iterative analytic processes generalising the Picard process. For a basic representative of this family, we demonstrate its better convergence properties on a scalar linear problem in comparison with the classical Picard process. For the general form of such iterative processes, we discuss their connection with existing methods for operator equations and propose a method for choosing their parameters. The efficiency of this parameter determination method is justified with a numerical experiment. In conclusion we propose a general approach to the construction of numerical algorithms which is based on the discretisation of the constructed iterative analytic processes. |
URI: | http://elib.bsu.by/handle/123456789/10148 |
Appears in Collections: | Статьи факультета прикладной математики и информатики |
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File | Description | Size | Format | |
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Faleichik CMAM.pdf | 303,74 kB | Adobe PDF | View/Open |
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