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Dynamical systems and numerical analysis par Stuart, Andrew. Publication : [S.l.] Cambridge University Press 1998 . 712 p. , This book unites the study of dynamical systems and numerical solution of differential equations. The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulted as dynamical systems and the convergence and stability properties of the methods are examined. Topics studied include the stability of numerical methods for contractive, dissipative, gradient and Hamiltonian systems together with the convergence properties of equilibria, periodic solutions and strage attractors under numerical approximation. This book will be an invaluable tool for graduate students and researchers in the fields of numerical analysis and dynamical systems. 23 cm. Date : 1998 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Mathematical analysis and numerical methods for science and technology : physical origins and classical methods / Volume 1 : par Dautray, Robert. Publication : [S.l.] : Springer, 2000 . 722 p. ; , These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. Since the publication in 1924 of the "Methoden der mathematischen Physik" by Courant and Hilbert, there has been no other comprehensive and up-to-date publication presenting the mathematical tools needed in applications of mathematics in directly implementable form. The advent of large computers has in the meantime revolutionised methods of computation and made this gap in the literature intolerable: the objective of the present work is to fill just this gap. Many phenomena in physical mathematics may be modeled by a system of partial differential equations in distributed systems:! a model here means a set of equations, which together with given boundary data and, if the phenomenon is evolving in time, initial data, defines the system. The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and industrial activity has been affected by these developments. Modeling by distributed systems now also supports work in many areas of physics (plasmas, new materials, astrophysics, geophysics), chemistry and mechanics and is finding increasing use in the life sciences. The main physical examples examined in the 6 volumes are presented in Chapter I: Classical Fluids and the Navier-Stokes System; Linear Elasticity, Linear Viscoelasticity, Electromagnetism and Maxwell's Equation, Neutronics, and Quantum Physics. Then a first examin! ation of the mathematical model. 24 cm. Date : 2000 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Methods of nonlinear analysis. Vol. 2 / par Bellman, Richard, Publication : . 1 online resource (xvii, 261 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780120849024,

Asymptotic Chaos Expansions in Finance Theory and Practice / par Nicolay, David. Publication : . XXII, 491 p. 34 illus., 26 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4471-6506-4,

The ADI Model Problem par Wachspress, Eugene. Publication : . X, 167 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5122-8,

Numerical Approximation of Exact Controls for Waves par Ervedoza, Sylvain. Publication : . XVII, 122 p. 17 illus., 3 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5808-1,

Symmetric Discontinuous Galerkin Methods for 1-D Waves Fourier Analysis, Propagation, Observability and Applications / par Marica, Aurora. Publication : . XVI, 104 p. 18 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-5811-1,

Stochastic Differential Inclusions and Applications par Kisielewicz, Michał. Publication : . XVI, 282 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-6756-4,

Derivative Securities and Difference Methods par Zhu, You-lan. Publication : . XXII, 647 p. Disponibilité :  http://dx.doi.org/10.1007/978-1-4614-7306-0,

Mathematical and Numerical Foundations of Turbulence Models and Applications par Chacón Rebollo, Tomás. Publication : . XVII, 517 p. 18 illus., 9 illus. in color. Disponibilité :  http://dx.doi.org/10.1007/978-1-4939-0455-6,

Nonlinear Partial Differential Equations with Applications par Roubíček, Tomáš. Publication : . XX, 476 p. Disponibilité :  http://dx.doi.org/10.1007/978-3-0348-0513-1,

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