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math.OC2024
Accelerated optimization algorithms and ordinary differential equations: the convex non Euclidean case
Paul Dobson, Jesus María Sanz-Serna, Konstantinos C. Zygalakis
We study the connections between ordinary differential equations and optimization algorithms in a non-Euclidean setting. We propose a novel accelerated algorithm for minimising con…
math.NA2024
Stroboscopic averaging methods to study autoresonance and other problems with slowly varying forcing frequencies
M. P. Calvo, J. M. Sanz-Serna, Beibei Zhu
Autoresonance is a phenomenon of physical interest that may take place when a nonlinear oscillator is forced at a frequency that varies slowly. The stroboscopic averaging method (S…