Author： Vabishchevich P.
Publisher： MAIK Nauka/Interperiodica
ISSN： 0965-5425
Source： Computational Mathematics and Mathematical Physics, Vol.51, Iss.6, 2011-06, pp. : 1050-1060
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Abstract
Using a model periodic problem for the one-dimensional transport equation as an example, the construction of finite difference time approximations is considered. The emphasis is on the quality criteria of finite difference schemes in what concerns the inheritance of the basic properties of the differential problem, which are related to the transfer of spectral characteristics. Schemes of higher order accuracy based on Padé are analyzed.
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