Parallelizing multiple precision Taylor series method for integrating the Lorenz system

A hybrid MPI+OpenMP strategy for parallelizing multiple precision Taylor series method is proposed, realized and tested. To parallelize the algorithm we combine MPI and OpenMP parallel technologies together with GMP library (GNU miltiple precision libary) and the tiny MPIGMP library. The details of the parallelization are explained on the paradigmatic model of the Lorenz system. We succeed to obtain a correct reference solution in the rather long time interval - [0,7000]. The solution is verified by comparing the results for 2700-th order Taylor series method and precision of ~ 3374 decimal digits, and those with 2800-th order and precision of ~ 3510 decimal digits. With 192 CPU cores in Nestum cluster, Sofia, Bulgaria, the 2800-th order computation was ~ 145 hours with speedup ~ 105.Comment: arXiv admin note: text overlap with arXiv:1908.0930

Fs-laser processing of medical grade polydimethylsiloxane (PDMS)

tMedical grade polydimethylsiloxane (PDMS) elastomer is a biomaterial widely used in medicine and high-tech devices, e.g. MEMS and NEMS. In this work, we report an experimental investigation on femtosecondlaser processing of PDMS-elastomer with near infrared (NIR), visible (VIS) and ultraviolet (UV) pulses.High definition trenches are produced by varying processing parameters as laser wavelength, pulse dura-tion, fluence, scanning speed and overlap of the subsequent pulses. The sample surface morphology andchemical composition are investigated by Laser Microscopy, SEM and Raman spectroscopy, addressingthe effects of the various processing parameters through comparison with the native materials charac-teristics. For all the laser pulse wavelengths used, the produced tracks are successfully metalized with Nivia electro-less plating method. We observe a negligible influence of the time interval elapsed betweenlaser treatment and metallization process. Our experimental findings suggest promising perspectives offemtosecond laser pulses in micro- and nano-fabrication of hi-tech PDMS devices