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Published in 2017 at "Journal of Lightwave Technology"
DOI: 10.1109/jlt.2017.2767079
Abstract: In this paper, we propose a scalable configuration of all-optical solver for systems of ordinary differential equations (SODE) based on the integrated feedback system, which can be easily extended to solve SODEs with various dimensions…
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Keywords:
ordinary differential;
systems ordinary;
sode;
feedback ... See more keywords
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Published in 2018 at "Differential Equations"
DOI: 10.1134/s0012266118070121
Abstract: We consider issues related to the numerical solution of interval systems of ordinary differential equations. We suggest an algorithm that permits finding interval estimates of solutions with prescribed accuracy in reasonable time. The algorithm constructs…
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Keywords:
ordinary differential;
systems ordinary;
initial conditions;
based tree ... See more keywords
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Published in 2017 at "Russian Mathematics"
DOI: 10.3103/s1066369x17100073
Abstract: We investigate a class of nonautonomous systems of ordinary differential equations whose matrix can be characterized as exponentially periodic. We develop the algorithm of spectral analysis of these systems. By this algorithm we prove reducibility…
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Keywords:
ordinary differential;
exponentially periodic;
systems ordinary;
nonautonomous systems ... See more keywords