Author: Philippe G. CiarletPublisher: Elsevier Masson
ISBN:
Category : Análisis numérico
Languages : fr
Pages : 200
Book Description
Exercices d'analyse numérique matricielle et d'optimisation
Author: Philippe G. CiarletPublisher: Elsevier Masson
ISBN:
Category : Análisis numérico
Languages : fr
Pages : 200
Book Description
Linear and Nonlinear Functional Analysis with Applications
Author: Philippe G. CiarletPublisher: SIAM
ISBN: 1611972582
Category : Mathematics
Languages : en
Pages : 847
Book Description
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.
Exercices d'analyse numérique matricielle et d'optimisation avec solutions
Author: Philippe G. CiarletExercices d'analyse numérique matricielle et d'optimisation avec solutions
Author: Philippe G. CiarletBoundary Value Problems for Partial Differential Equations and Applications
Author: Jacques-Louis LionsPublisher: Elsevier Masson
ISBN:
Category : Boundary value problems
Languages : en
Pages : 480
Book Description
Singularities in Boundary Value Problems
Author: Pierre GrisvardPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 222
Book Description
On Numerical Approximation in Bifurcation Theory
Author: Michel CrouzeixPublisher:
ISBN:
Category : Approximation theory
Languages : en
Pages : 184
Book Description
Bifurcation in Rotating Bodies
Author: Patrick RabierPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 168
Book Description
This monograph is a mathematical study of steady-state motions of a spinning hyperelastic incompressible, homogenous and isotropic cylinder. So far there was very little quantitative information on this subject and no mathematical analysis. The authors developed mathematical tools that are not standard in this kind of bifurcation problems. Qualitative results independent of the stress-strain relation are obtained that are consistent with physical experiments. These phenomena are shown to be related to mathematical bifurcation. The spectral analysis is accomplished by a new method that combines techniques of the modern theory of partial differential equations and abstract functional analysis with Fourier decomposition and sharper results on Bessel functions. These techniques represent in their own right a contribution that will find application not only in the study of rotating bodies, but in other physical situations that can be characterized by non-compact bifurcation.
Livres disponibles 1996
Author: ElectrePublisher:
ISBN: 9782765405986
Category : French imprints
Languages : fr
Pages : 1440
Book Description
Inequalities
Author: Ingram OlkinPublisher: Academic Press
ISBN: 0080959970
Category : Mathematics
Languages : en
Pages : 590
Book Description
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying "theory of inequalities." For certain kinds of inequalities, the notion of majorization leads to such a theory that is sometimes extremely useful and powerful for deriving inequalities. Moreover, the derivation of an inequality by methods of majorization is often very helpful both for providing a deeper understanding and for suggesting natural generalizations.Anyone wishing to employ majorization as a tool in applications can make use of the theorems; for the most part, their statements are easily understood.