By Vanda Valente, Mario Primicerio, Renato Spigler
Business arithmetic is evolving into a tremendous department of arithmetic. Mathematicians, in Italy particularly, have gotten more and more conscious of this new development and are engaged in bridging the space among hugely really good mathematical study and the rising call for for innovation from undefined. during this recognize, the contributions during this quantity supply either R&D employees in with a common view of present talents, and lecturers with state of the art functions of arithmetic to real-world difficulties, which can even be integrated in complex classes.
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Extra resources for Applied And Industrial Mathematics in Italy: Proceedings of the 7th Conference (Series on Advances in Mathematics for Applied Sciences)
B. Opic, A. Kufner (1990) Hardy-type inequalities. Pitman Research Notes, 219, Longman. 24. A. H. Davis, G . Bankoff (1997) Long-scale evolution of thin liquid films. Rev. Mod. Phys. 69 931-980. 25. Otto, F (2001) The geometry of dissipative evolution equations: the porous medium equation. Comm. Partial Differential Equations 26 101-174. 26. Tanner L H (1979) The spreading of silicone oil drops on horizontal surfaces. J . Phys. D: Appl. Phys. 12 1473-1484. 27. E. W. Schwartz (1994) Contact-line motion of shear-thinning liquids.
J. 49 113-142. 9. Carrillo J A, Toscani G (2002) Long-time asymptotics for strong solutions of the thin film equation. C o m m . Math. Phys. 225 551-571. 10. Cox R G (1986) The dynamics of the spreading of liquids on a solid surface. Part 1. Viscous flow. J. Fluid Mech. 168 169-194. 11. G. de Gennes (1985) Wetting: Statics and dynamics. Rev. Mod. Phys. 57 827-863. 12. B. H. Davis (1974) On the motion of fluid-fluid interface along a solid surface. J. F1. Mech. 65 71-95. 13. R. Ferreira , F. Bernis (1997) Source-type solutions to thin-film equations in higher dimensions.
Total performance does not improve on IBM Power4, but noticeable gain is detected on other architectures (Tab. s), particularly on Intel Itanium2 and Alpha EV68. 9. Conclusions The four different codes discussed have been developed in the quest for performance increase of the LBM scheme. Two new algorithms, fused and bundled were devised, the latter in two different implementations, to over- 33 come architectural bottlenecks in present day computers. An increase of 42% in serial performance and of 20% in parallel speedup, with respect to the original version, combine in 60% total reduction of compute time on 32 CPUS.
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