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˜The œfinite element method for elliptic problems / par Ciarlet, Philippe G. Publication : Philadelphia, PA : Society for Industrial and Applied Mathematics, 2002 . xxiv, 530 p. : 23 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (2),

Advanced mathematical methods for scientists and engineers / par Bender, Carl M. Publication : New York : Springer, 1999 . xiv, 593 p. : , Originally published: New York : McGraw-Hill, c1978. 25 cm. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Almost periodic solutions of differential equations in banach spaces par Hino, Yoshiyuki. Publication : [S.l.] CRC Press 2002 . 250 p. , This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis. 26 cm. Date : 2002 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Almost periodic stochastic processes par Bezandry, Paul H. Publication : New York Springer. 2011 . xv, 235 pages , Includes bibliographical references (p. 225-232) and index. 24 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Bifurcations of planar vector fields : nilpotent singularities and abelian integrals par Dumortier, Freddy. Publication : [S.l.] Springer 1991 . 226 p. , The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena. 24 cm. Date : 1991 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Collocation methods for parabolic equations in a single space variable par Douglas, J.jr. Publication : [S.l.] Springer 2009 . 150 p. 23 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Computational electrodynamics the finite-difference time-domain method par Taflove, Allen. Publication : Boston Artech House. 2005 . xxii, 1006 pages 27 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Computational partial differential equations : numerical methods and Diffpack programming / par Langtangen,, Hans Petter, Publication : Berlin ; | New York : Springer, 2003 . xxvi, 855 p. : 24 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Exact solutions and invariant subspaces of nonlinear partial differential equations in mechanics and physics par Galaktionov,, Victor A. Publication : [S.l.] Chapman and Hall/CRC 2006 . 528 p. , Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics is the first book to provide a systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear evolution equations and models from physics and mechanics, the book focuses on the existence of new exact solutions on linear invariant subspaces for nonlinear operators and their crucial new properties. This practical reference deals with various partial differential equations (PDEs) and models that exhibit some common nonlinear invariant features. It begins with classical as well as more recent examples of solutions on invariant subspaces. In the remainder of the book, the authors develop several techniques for constructing exact solutions of various nonlinear PDEs, including reaction-diffusion and gas dynamics models, thin-film and Kuramoto-Sivashinsky equations, nonlinear dispersion (compacton) equations, KdV-type and Harry Dym models, quasilinear magma equations, and Green-Naghdi equations. Using exact solutions, they describe the evolution properties of blow-up or extinction phenomena, finite interface propagation, and the oscillatory, changing sign behavior of weak solutions near interfaces for nonlinear PDEs of various types and orders. The techniques surveyed in Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics serve as a preliminary introduction to the general theory of nonlinear evolution PDEs of different orders and types. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Finite element methods and their applications / par Chen,, Zhangxin, Publication : Berlin ; | New York : Springer, 2005 . xiii, 410 p. : 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Galerkin finite element methods for parabolic problems / par Thomée,, Vidar, Publication : Berlin ; | New York : Springer, 2006 . xii, 370 p. ; 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Geometric numerical integration : structure-preserving algorithms for ordinary differential equations / par Hairer,, E. Publication : Berlin ; | New York : Springer, 2006 . xvii, 644 p. : 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Iterative methods for sparse linear systems / par Saad,, Y. Publication : Philadelphia : SIAM, 2003 . xviii, 528 p. : 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Multiple scale and singular perturbation methods / par Kevorkian, J. Publication : New York : Springer, 1996 . viii, 632 p. : 25 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Nonlinear resonance analysis theory, computation, applications par Kartashova, Elena Publication : New York Cambridge University Press 2011 . xv, 223 pages , "Nonlinear resonance analysis is a unique mathematical tool that can be used to study resonances in relation to, but independently of, any single area of application. This is the first book to present the theory of nonlinear resonances as a new scientific field, with its own theory, computational methods, applications and open questions. The book includes several worked examples, mostly taken from fluid dynamics, to explain the concepts discussed. Each chapter demonstrates how nonlinear resonance analysis can be applied to real systems, including large-scale phenomena in the Earth's atmosphere and novel wave turbulent regimes, and explains a range of laboratory experiments. The book also contains a detailed description of the latest computer software in the field. It is suitable for graduate students and researchers in nonlinear science and wave turbulence, along with fluid mechanics and number theory. Colour versions of a selection of the figures are available at www.cambridge.org/9780521763608"-- 26 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Numerical approximation of hyperbolic systems of conservation laws / par Godlewski,, Edwige. Publication : [S.l.] : Springer, 1996 . 532 p. ; , This work is devoted to the theory and approximation of nonlinear hyperbolic systems of conservation laws in one or two spaces variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. While in the earlier publication, the authors concentrate on the mathematical theory of multidimensional scalar conservation laws, in this work, they consider systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems. 24 cm. Date : 1996 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

Numerical methods for elliptic and parabolic partial differential equations / par Knabner, Peter. Publication : New York : Springer, 2003 . xv, 424 p. : 25 cm. Date : 2003 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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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