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- W45681750 abstract "We present a new version of the Picard-Lindelöf method for ordinary differential equations (ODEs) supplied with guaranteed and explicitly computable upper bounds of an approximation error. The upper bounds are based on the Ostrowski estimates and the Banach fixed point theorem for contractive operators. The estimates derived in the paper take into account interpolation and integration errors and, therefore, provide objective information on the accuracy of computed approximations." @default.
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- W45681750 date "2013-01-01" @default.
- W45681750 modified "2023-09-27" @default.
- W45681750 title "Guaranteed Error Bounds for a Class of Picard-Lindelöf Iteration Methods" @default.
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- W45681750 doi "https://doi.org/10.1007/978-94-007-5288-7_10" @default.
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