Multiple Shooting for Training Neural Differential Equations on Time Series [PDF]
IEEE Control Systems Letters, 2021 Neural differential equations have recently emerged as a flexible data-driven/hybrid approach to model time-series data. This letter experimentally demonstrates that if the data contains oscillations, then standard fitting of a neural differential ...
Evren Mert Turan, J. Jäschke
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Calculation of nonlinear vibrations of piecewise-linear systems using the shooting method
Vietnam Journal of Mechanics, 2012 In this paper, an explicit formulation of the shooting scheme for computation of multiple periodic attractors of a harmonically excited oscillator which is asymmetric with both stiffness and viscous damping piecewise linearities is derived.
Nguyen Van Khang +2 more
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PICARD-LINDEL{\"O}F ITERATIONS AND MULTIPLE SHOOTING METHOD FOR PARAMETER ESTIMATION [PDF]
International Journal of Apllied Mathematics, 2020 In this article, we modify the Picard-Lindelöf iteration scheme in order to show an iteration algorithm for parameter estimation of ordinary differential equations. The proposed algorithm inherited the advantages exhibited in the classical algorithms and, moreover, the parameters can be transformed to a form that are convenient and suitable for ...
Slavov S., Tsvetkov T.
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Multiple shooting method in stability analysis of non-prismatic multi-segment columns
Budownictwo i Architektura, 2013 The application of multiple shooting method in stability analysis of non-prismatic multi-segment columns with pinned ends loaded with a concentrated force applied to the upper node has been presented.
Ryszard Hołubowski, Andrzej Merena
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Development for Multisensor and Virtual Simulator–Based Automatic Broadcast Shooting System
International Journal of Digital Multimedia Broadcasting, 2022 To solve the limitations of complexity and repeatability of existing broadcast filming systems, a new broadcast filming system was developed. In particular, for Korean music broadcasts, the shooting sequence is stage and lighting installation, rehearsal,
Wonjun Lee, Hyung-Jun Lim, Mun Sang Kim
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The shooting method and multiple solutions of two/multi-point BVPs of second-order ODE
Electronic Journal of Qualitative Theory of Differential Equations, 2006 Within the last decade, there has been growing interest in the study of multiple solutions of two- and multi-point boundary value problems of nonlinear ordinary differential equations as fixed points of a cone mapping.
Man Kam Kwong
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On multiple solutions of non-Newtonian Carreau fluid flow over an inclined shrinking sheet
Results in Physics, 2018 This paper presents the multiple solutions of a non-Newtonian Carreau fluid flow over a nonlinear inclined shrinking surface in presence of infinite shear rate viscosity.
Masood Khan +3 more
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The Earth-Moon Transfer Trajectory Design and Analysis using Intermediate Loop Orbits [PDF]
Journal of Astronomy and Space Sciences, 2009 Various Earth-Moon transfer trajectories are designed and analyzed to prepare the future Korea's Lunar missions. Minimum fuel trajectory solutions are obtained for the departure year of 2017, 2020, 2022, and every required mission phases are analyzed ...
Young-Joo Song +4 more
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Global Analysis of a Planetary Gear Train
Shock and Vibration, 2014 By using the Poincaré-like cell-to-cell mapping method and shooting method, the global characteristics of a planetary gear train are studied based on the torsional vibration model with errors of transmission, time-varying meshing stiffness, and multiple ...
Tongjie Li, Rupeng Zhu
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A Modified Multiple Shooting Algorithm for Parameter Estimation in ODEs Using Adjoint Sensitivity Analysis [PDF]
Applied Mathematics and Computation, 2020 To increase the predictive power of a model, one needs to estimate its unknown parameters. Almost all parameter estimation techniques in ordinary differential equation models suffer from either a small convergence region or enormous computational cost ...
O. Aydogmus, A. Tor
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