Abstract
An iterative interval algorithm of a preliminary enclosing of the integral curve in the next step of an integration process is described. It is based on the well-known Cauchy-Duhamel identity. The conditions of the ending of the process are derived. The criterion of existence and uniqueness of the solution is discussed, too.
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Menshikov, G.G. The Preliminary Enclosing of the ODE Solutions on the Base of the Cauchy-Duhamel Identity. Reliable Computing 7, 485–495 (2001). https://doi.org/10.1023/A:1014702819312
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DOI: https://doi.org/10.1023/A:1014702819312