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Computational and Applied Mathematics Vol. 23, N. 2-3, pp. 107–108, 2004 Copyright © 2004 SBMAC www.scielo.br/cam

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Special Issue on Multi-Scale Science

Foreword

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108 FOREWORD

to provide the first steps towards the development of a Brazilian scientific com-munity working on this class of multidisciplinary research. This accomplishment motivated us to extend the still modest community into a much larger group, by scheduling the second symposium of the series including also well established international contributors. The 2nd

Symposium on Computational Modeling of Multiscale Phenomenawhich took place at National Laboratory for Scientific Computing (LNCC/MCT, Petropolis 05/08/2002 - 09/08/2002) was the second meeting of the series on multi-scale science, and has also accomplished its mis-sion of bringing together researchers working on different aspects of multi-scale science and applications. Likewise the first meeting the aim of the symposium was to develop an interdisciplinary forum aiming at identifying the common tools available in the use of different upscaling and downscaling techniques, such as Homogenization, Stochastic Methods, Averaging techniques, Renor-malization Groups, general Perturbation Schemes and Lattice Boltzmann in the general treatment of the intriguing and challenging problems which commonly appear in the computational modeling of heterogeneous systems. Owing to the broad range of applications of multi-scale science the organizers concentrated the scope of the Symposium on themes related to Porous Media, Biomechanics, Material Science and Solid Mechanics with microstructure. Several internation-ally respected scientists delivered talks on the aforementioned topics and have accepted the invitation for contributing to this special issue. The organizers wish to thank Prof. Marco Antonio Raupp, Director of LNCC, for his collaboration to this project, and J. M. Martinez, Chief Editor of Computational and Applied Mathematics for also providing the necessary support of the journal for publish-ing this special issue. The financial supports from the Brazilian agencies CNPq, FAPERJ and CAPES and also from IM-AGIMB are gratefully acknowledged.

Márcio A. Murad (LNCC/MCT) Felipe Pereira (IPRJ/UERJ)

Petrópolis, February 2005

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