Fast numerics for the spin orbit equation with realistic tidal dissipation and constant eccentricity     

Michele Bartuccelli  Jonathan Deane  Guido Gentile 《Celestial Mechanics and Dynamical Astronomy》2017,128(4):453-473

We present an algorithm for the rapid numerical integration of a time-periodic ODE with a small dissipation term that is \(C^1\) in the velocity. Such an ODE arises as a model of spin–orbit coupling in a star/planet system, and the motivation for devising a fast algorithm for its solution comes from the desire to estimate probability of capture in various solutions, via Monte Carlo simulation: the integration times are very long, since we are interested in phenomena occurring on timescales of the order of \(10^6\)–\(10^7\) years. The proposed algorithm is based on the high-order Euler method which was described in Bartuccelli et al. (Celest Mech Dyn Astron 121(3):233–260, 2015), and it requires computer algebra to set up the code for its implementation. The payoff is an overall increase in speed by a factor of about 7.5 compared to standard numerical methods. Means for accelerating the purely numerical computation are also discussed.  相似文献   

Latest findings on the behaviour factor q for the seismic design of URM buildings     

Morandi  P.  Butenweg  C.  Breis  K.  Beyer  K.  Magenes  G. 《Bulletin of Earthquake Engineering》2022,20(11):5797-5848

Bulletin of Earthquake Engineering - Recent earthquakes as the 2012 Emilia earthquake sequence showed that recently built unreinforced masonry (URM) buildings behaved much better than expected and...  相似文献