Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectures. They comprise a relatively new field of study but have already found important applications in many branches of physics and engineering. In this book the authors illustrate the basic mathematical concepts behind domain decomposition, looking at a large variety of boundary value problems. Contents include symmetric elliptic equations, advection-diffusion equations, the elasticity problem, the Stokes problem for incompressible and compressible...
Domain decomposition methods are designed to allow the effective numerical solution of partial differential equations on parallel computer architectur...
Ce livre a pour but de presenter les fondements theoriques et methodologiques de l'analyse numerique. Une attention toute particuliere est portee sur les concepts de stabilite, precision et complexite des algorithmes. Les methodes modernes relatives aux themes suivants sont presentees et analysees en detail: resolution des systemes lineaires et non lineaires, approximation polynomiale, optimisation, integration numerique, polynomes orthogonaux, transformations rapides, equations differentielles ordinaires. Les techniques presentees sont illustrees par de nombreux tableaux et figures....
Ce livre a pour but de presenter les fondements theoriques et methodologiques de l'analyse numerique. Une attention toute particuliere est portee s...
Dieses Lehrbuch ist eine Einfuhrung in das Wissenschaftliche Rechnen und diskutiert Algorithmen und deren mathematischen Hintergrund. Angesprochen werden im Detail nichtlineare Gleichungen, Approximationsverfahren, numerische Integration und Differentiation, numerische Lineare Algebra, gewohnliche Differentialgleichungen und Randwertprobleme. Zu den einzelnen Themen werden viele Beispiele und Ubungsaufgaben sowie deren Losung prasentiert, die durchweg in MATLAB formuliert sind. Der Leser findet daher nicht nur die graue Theorie...
Aus den Rezensionen der englischen Auflage:
Dieses Lehrbuch ist eine Einfuhrung in das Wissenschaftliche Rechnen und diskutiert Alg...
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational mechanics, bioengineering and computer graphics.
Several topics are covered, including: design, optimization, and control theory in real-time with applications in engineering; data assimilation, geometry registration, and parameter estimation with special attention to real-time computing in...
This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, gover...
Ce livre constitue une introduction au Calcul Scientifique. Son objectif est de presenter des methodes numeriques permettant de resoudre avec un ordinateur certains problemes mathematiques qui ne peuvent etre traites simplement avec un papier et un crayon. Les questions classiques du Calcul Scientifique sont abordees: la recherche des zeros ou le calcul d'integrales de fonctions continues, la resolution de systemes lineaires, l'approximation de fonctions par des polynomes, la resolution approchee d'equations differentielles. La presentation de ces methodes est rendue vivante par le recours...
Ce livre constitue une introduction au Calcul Scientifique. Son objectif est de presenter des methodes numeriques permettant de resoudre avec un ordin...
Numerische Mathematik ist ein zentrales Gebiet der Mathematik, das fur vielfaltige Anwendungen die Grundlage bildet und das alle Studierenden der Mathematik, Ingenieurwissenschaften, Informatik und Physik kennenlernen. Das vorliegende Lehrbuch ist eine didaktisch exzellente, besonders sorgfaltig ausgearbeitete Einfuhrung fur Anfanger. Eines der Ziele dieses Buches ist es, die mathematischen Grundlagen der numerischen Methoden zu liefern, ihre grundlegenden theoretischen Eigenschaften (Stabilitat, Genauigkeit, Komplexitat)zu analysieren, und ihre Leistungsfahigkeit an Beispielen und...
Numerische Mathematik ist ein zentrales Gebiet der Mathematik, das fur vielfaltige Anwendungen die Grundlage bildet und das alle Studierenden der Math...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The...
Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scient...
Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several fields including analysis, linear algebra, geometry, approximation theory, functional equations, optimization and differential equations. Other disciplines, such as physics, the natural and biological sciences, engineering, and economics and the financial sciences frequently give rise to problems that need scientific computing for their solutions.
As such, numerical mathematics is the crossroad of several disciplines of great relevance in...
Numerical mathematics is the branch of mathematics that proposes, develops, analyzes and applies methods from scientific computing to several field...
This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (Italy), in July 2009. Complex systems arise in several physical, chemical, and biological processes, in which length and time scales may span several orders of magnitude. Traditionally, scientists have focused on methods that are particularly applicable in only one regime, and knowledge of the system on one scale has been transferred to another scale only indirectly. Even with modern computer power, the complexity of such systems precludes their...
This book is a collection of lecture notes for the CIME course on "Multiscale and Adaptivity: Modeling, Numerics and Applications," held in Cetraro (I...
