Author: Philippe G. CiarletPublisher:
ISBN:
Category :
Languages : en
Pages : 311
Book Description
Introduction À L'analyse Numérique de la Méthode Des Éléments Finis
Author: Philippe G. CiarletCours d'analyse numérique
Author: Jacques Louis LionsPublisher:
ISBN:
Category : Control theory
Languages : fr
Pages : 520
Book Description
Mathematical Programming
Author: Michel MinouxPublisher: John Wiley & Sons
ISBN:
Category : Mathematics
Languages : en
Pages : 526
Book Description
This comprehensive work covers the whole field of mathematical programming, including linear programming, unconstrained and constrained nonlinear programming, nondifferentiable (or nonsmooth) optimization, integer programming, large scale systems optimization, dynamic programming, and optimization in infinite dimensions. Special emphasis is placed on unifying concepts such as point-to-set maps, saddle points and perturbations functions, duality theory and its extensions.
Analysis, Manifolds and Physics Revised Edition
Author: Yvonne Choquet-BruhatPublisher: Gulf Professional Publishing
ISBN: 9780444860170
Category : Mathematics
Languages : en
Pages : 666
Book Description
This reference book, which has found wide use as a text, provides an answer to the needs of graduate physical mathematics students and their teachers. The present edition is a thorough revision of the first, including a new chapter entitled ``Connections on Principle Fibre Bundles'' which includes sections on holonomy, characteristic classes, invariant curvature integrals and problems on the geometry of gauge fields, monopoles, instantons, spin structure and spin connections. Many paragraphs have been rewritten, and examples and exercises added to ease the study of several chapters. The index includes over 130 entries.
Cours D'analyse Numerique
Author: Jacques-Louis LionsLocal Effects in the Analysis of Structures
Author: P. LadevezePublisher: Elsevier
ISBN: 1483295443
Category : Technology & Engineering
Languages : en
Pages : 351
Book Description
The question of inclusion of local effects in the analysis of structures is currently one of prime importance for engineering design. The classical computational approaches are not readily adapted to take local effects into account and appropriate treatments are therefore necessary. Providing an introduction to and survey of the specific computational methods, this book contains 16 papers, most of which were presented at the EUROMECH Colloquium `Inclusion of Local Effects in the Analysis of Structures', held in France in 1984. The book begins with the various theories which allow the separation and determination of local and global effects. The next group of papers discuss edge effects for composite structures. The third part comprises two papers concerning dynamic problems and points the way towards non-conventional local effects in structural mechanics. The last part deals with general numerical methods, especially for effects due to large local variations of geometry.
Computing Methods in Applied Sciences and Engineering, 1977. Third International Symposium, December 5-9, 1977, IRIA LABORIA, Institut de Recherche d`Informatique et d`Automatique
Author: R. GlowinskiPublisher: Springer
ISBN: 3540354115
Category : Mathematics
Languages : en
Pages : 386
Book Description
Cours d'analyse numerique 1976
Author: Pierre-Arnaud RaviartAnalyse numérique 1 et 2 1976-1977
Author: Introduction to Numerical Linear Algebra and Optimisation
Author: Philippe G. CiarletPublisher: Cambridge University Press
ISBN: 9780521339841
Category : Computers
Languages : en
Pages : 456
Book Description
The purpose of this book is to give a thorough introduction to the most commonly used methods of numerical linear algebra and optimisation. The prerequisites are some familiarity with the basic properties of matrices, finite-dimensional vector spaces, advanced calculus, and some elementary notations from functional analysis. The book is in two parts. The first deals with numerical linear algebra (review of matrix theory, direct and iterative methods for solving linear systems, calculation of eigenvalues and eigenvectors) and the second, optimisation (general algorithms, linear and nonlinear programming). The author has based the book on courses taught for advanced undergraduate and beginning graduate students and the result is a well-organised and lucid exposition. Summaries of basic mathematics are provided, proofs of theorems are complete yet kept as simple as possible, and applications from physics and mechanics are discussed. Professor Ciarlet has also helpfully provided over 40 line diagrams, a great many applications, and a useful guide to further reading. This excellent textbook, which is translated and revised from the very successful French edition, will be of great value to students of numerical analysis, applied mathematics and engineering.