Computational Modeling and Mathematics Applied to the Physical Sciences
Publisher: National Academy Press 1984
Number of pages: 108
As illustration, we examine several deep theoretical problems, including turbulence and combustion. At the frontiers of attack on these problems we discover the limitations imposed by our current understanding of model formulation and computational capability. We examine modeling problems and algorithms adapted both to specific features of the desired solution and to the computer architecture. We also examine computer architecture and component design and manufacture as a mathematical modeling problem.
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The purpose of this paper is to show through particular examples how group theory is used in music. Examples are chosen from the theoretical work and from the compositions of Olivier Messiaen, one of the most influential twentieth century composers.
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