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Modeling and computations in dynamical systems : In commemoration of the 100th anniversary of the birth of John von Neumann / Eusebius J. Doedel, Gábor Domokos, Ioannis G. Kevrekidis Singapore ; London : World Scientific, 2006349tr. ; 29cm.The Hungarian born mathematical genius, John von Neumann, was undoubtedly one of the greatest and most influential scientific minds of the 20th century. Von Neumann made fundamental contributions to Computing and he had a keen interest in Dynamical Systems, specifically Hydrodynamic Turbulence. This book, offering a state-of-the-art collection of papers in computational dynamical systems, is dedicated to the memory of von Neumann. Including contributions from J E Marsden, P J Holmes, M Shub, A Iserles, M Dellnitz and J Guckenheimer, this book offers a unique combination of theoretical and appl
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Numerical differential equations : Theory and technique, ode methods, finite differences, finite elements and collocation / John Loustau New Jersey : World Scientific, 2016361tr. ; 23cm.This text presents numerical differential equations to graduate (doctoral) students. It includes the three standard approaches to numerical PDE, FDM, FEM and CM, and the two most common time stepping techniques, FDM and Runge-Kutta. We present both the numerical technique and the supporting theory.The applied techniques include those that arise in the present literature. The supporting mathematical theory includes the general convergence theory. This material should be readily accessible to students with basic knowledge of mathematical analysis, Lebesgue measure and the basics of Hilbert spaces and Banach spaces
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