On-Chip Optical Feedback Systems for Solving Systems of Ordinary Differential Equations
Sign Up to like & getrecommendations! 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… read more here.
Keywords: ordinary differential; systems ordinary; sode; feedback ... See more keywords
Adaptive Interpolation Algorithm Based on a kd-Tree for Numerical Integration of Systems of Ordinary Differential Equations with Interval Initial Conditions
Sign Up to like & getrecommendations! 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… read more here.
Keywords: ordinary differential; systems ordinary; initial conditions; based tree ... See more keywords
Analysis of nonautonomous systems of ordinary differential equations with exponentially periodic matrix
Sign Up to like & getrecommendations! 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… read more here.
Keywords: ordinary differential; exponentially periodic; systems ordinary; nonautonomous systems ... See more keywords