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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),

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Mathematical theory of domains par Stoltenberg-Hansen, Viggo. Publication : Cambridge Cambridge University Press 2008 . xii, 349 pages , Originally published: 1994. "This digitally printed version 2008"--T.p. verso. 26 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Meshless methods in solid mechanics par Chen,, Youping. Publication : New York, NY Springer 2006 . xi, 200 pages , The subjects in this book cover the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Numerical analysis and optimization An introduction to mathematical modelling and numerical simulation par Allaire, Grégoire Publication : Oxford | New York Oxford University Press 2007 . xvi, 455 pages , Translated from the French 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Numerical approximation methods for elliptic boundary value problems : finite and boundary elements / par Steinbach, Olaf. Publication : [S.l.] : Springer, 2007 . 388 p. ; , The book contains chapter summaries and excercises at the end of each chapter. 24 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Numerical methods for stochastic control problems in continuous time par Kushner, Harold J. Publication : New York Springer 2001 . xii, 475 pages 25 cm. Date : 2001 Disponibilité : Exemplaires disponibles: La bibliothèque des sciences de l'ingénieur (1),

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Practical fourier analysis for multigrid methods par Wienands, Roman. Publication : [S.l.] Chapman and Hall/CRC 2004 . 240 p. , Before applying multigrid methods to a project, mathematicians, scientists, and engineers need to answer questions related to the quality of convergence, whether a development will pay out, whether multigrid will work for a particular application, and what the numerical properties are. Practical Fourier Analysis for Multigrid Methods uses a detailed and systematic description of local Fourier k-grid (k=1,2,3) analysis for general systems of partial differential equations to provide a framework that answers these questions. This volume contains software that confirms written statements about convergence and efficiency of algorithms and is easily adapted to new applications. Providing theoretical background and the linkage between theory and practice, the text and software quickly combine learning by reading and learning by doing. The book enables understanding of basic principles of multigrid and local Fourier analysis, and also describes the theory important to those who need to delve deeper into the details of the subject. The first chapter delivers an explanation of concepts, including Fourier components and multigrid principles. Chapter 2 highlights the basic elements of local Fourier analysis and the limits to this approach. Chapter 3 examines multigrid methods and components, supported by a user-friendly GUI. Chapter 4 provides case studies for two- and three-dimensional problems. Chapters 5 and 6 detail the mathematics embedded within the software system. Chapter 7 presents recent developments and further applications of local Fourier analysis for multigrid methods. 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Smoothing splines : methods and applications / par Wang, Yuedong. Publication : Boca Raton, FL : CRC Press, 2011 . xxiv, 370 pages : , "A Chapman & Hall book." 25 cm. Date : 2011 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Working analysis par Cooper, Jeffery Publication : Oxford Academic Press 2005 . xvi, 663 pages 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Basic structured grid generation with an introduction to unstructured grid generation / par Farrashkhalvat, M. Publication : . 1 online resource (x, 231 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780750650588,

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Numerical methods in electromagnetism / par Chari, M. V. K. Publication : . 1 online resource (xiv, 767 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780126157604,

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Theory and applications of numerical analysis / par Phillips, G. M. Publication : . 1 online resource (xii, 447 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780125535601,

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Reliable methods for computer simulation : error control and a posteriori estimates / par Neittaanmäki, P. Publication : . 1 online resource (x, 305 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444513762,  http://www.sciencedirect.com/science/publication?issn=01682024&volume=33,

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