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Molecular and particle modelling of laminar and turbulent flows par Greenspan, Donald Publication : Singapore World Scientific 2005 . 168 p. , Turbulence is the most fundamental and, simultaneously, the most complex form of fluid flow. However, because an understanding of turbulence requires an understanding of laminar flow, both are explored in this book. Groundwork is laid by careful delineation of the necessary physical, mathematical, and numerical requirements for the studies which follow, and include discussions of N-body problems, classical molecular mechanics, dynamical equations, and the leap frog formulas for very large systems of second order ordinary differential equations. Molecular systems are studied first in both two and three dimensions. Extension into the large is also of great interest, and it is for this purpose that we develop particle mechanics, which uses lump massing of molecules. All calculations are limited to a personal scientific computer, so that the methods can be utilized readily by others. 23 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Numerical solution of ordinary differential equations for classical, relativistic and nano systems par Greenspan, Donald. Publication : [S.l.] Wiley-VCH 2006 . 216 p. , This work meets the need for an affordable textbook that helps in understanding numerical solutions of ODE. Carefully structured by an experienced textbook author, it provides a survey of ODE for various applications, both classical and modern, including such special applications as relativistic systems. The examples are carefully explained and compiled into an algorithm, each of which is presented independent of a specific programming language. Each chapter is rounded off with exercises. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Discrete numerical methods in physics and engineering / par Greenspan, Donald. Publication : . 1 online resource (xi, 312 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780123003508,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=107,

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