By Vanda Valente, Mario Primicerio, Renato Spigler
Business arithmetic is evolving into a big department of arithmetic. Mathematicians, in Italy specifically, have gotten more and more conscious of this new development and are engaged in bridging the distance among hugely really good mathematical study and the rising call for for innovation from undefined. during this appreciate, the contributions during this quantity supply either R&D employees in with a common view of present abilities, and lecturers with state of the art purposes of arithmetic to real-world difficulties, that may even be included in complicated classes.
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Additional info for Applied And Industrial Mathematics in Italy: Proceedings of the 7th Conference (Series on Advances in Mathematics for Applied Sciences)
8. Performance portability All the optimization discussed brought sensible gains on most cache based systems. However, as tab. 5 shows, they are not effective on a NEC vector processor. On this system, the original version problems are overcome by the huge memory bandwidth, while the compiler is unable to vectorize the improved algorithms. The problem arise from Jan implementation issue: the compiler is not able to vectorize, in an efficient way, the collision step due to the mod() function calls used to compute the time-varying mapping among physical coordinates and array indexes.
79 209-229. 18. C. E. Scriven (1971) Hydrodynamic model of a steady movement of a solid/liquid/fluid contact line. J . Colloid Interface Sci. 35 85-101. 19. R. King (2001) Two generalisations of the thin film equation. Mathematical and Computer Modelling 34 737-756. 20. R. King (2001) Thin-film flows and higher-order degenerate parabolic equations. C. D. ), Kluwer Academic Publishers, 7-18. 21. R. King (2001) The spreading of power-law fluids. C. D. ), Kluwer Academic Publishers, 153-160. 22. Navier C L N H (1827) Sur les lois de 1’Cquilibre et du mouvement des corps klastiques.
3. New topics In this section we address three new topics arising in semiconductor industry which require the development of innovative research in advanced mathematics. The first topic concerns the modeling of wide bandgap semiconductors with strongly anisotropic bands and scattering for which even a phenomenological model has not been introduced, such as Sic. These materials have application to high temperature power devices. 20 The second topic is the modeling of discrete dopants distribution, with application to nanometric devices (< 50 nm).
Applied And Industrial Mathematics in Italy: Proceedings of the 7th Conference (Series on Advances in Mathematics for Applied Sciences) by Vanda Valente, Mario Primicerio, Renato Spigler