Kategoria BISAC: Mathematics >> Number Systems

Because of its portability and platform-independence, Java is the ideal computer programming language to use when working on graph algorithms and other mathematical programming problems. Collecting some of the most popular graph algorithms and optimization procedures, A Java Library of Graph Algorithms and Optimization provides the source code for a library of Java programs that can be used to solve problems in graph theory and combinatorial optimization. Self-contained and largely independent, each topic starts with a problem description and an outline of the solution procedure, followed by...

MATLAB is a powerful programme, which naturally lends itself to the rapid implementation of most numerical algorithms. This text, which uses MATLAB, gives a detailed overview of structured programming and numerical methods for the undergraduate student.

The book covers numerical methods for solving a wide range of problems, from integration to the numerical solution of differential equations or the simulation of random processes. Each chapter includes extensive examples and tasks, at varying levels of complexity. For practice, the early chapters include programmes that require...

This workshop was organized with the support of GAMM, the International Association of Applied Mathematics and Mechanics, on the occasion of J. Herzberger's 60th birthday. GAMM is thankful to him for all the time and work he spent in the preparation and holding of the meeting. The talks presented during the workshop and the papers published in this volume are part of the field of Verification Numerics. The important subject is fostered by GAMM already since a number of years, especially also by the GAMM FachausschuB (special interest group) "Rechnerarithmetik und Wissenschaft liches Rechnen."...

This is the first book to address modelling of systems that are important to the fabrication of three-dimensional microstructures. It is unique in that it focuses on high aspect ratio microtechnology, ranging from ion beam micromachining to x-ray lithography.

Domain decomposition methods are a well established tool for an efficient numerical solution of partial differential equations, in particular for the coupling of different model equations and of different discretization methods. Based on the approximate solution of local boundary value problems either by finite or boundary element methods, the global problem is reduced to an operator equation on the skeleton of the domain decomposition. Different variational formulations then lead to hybrid domain decomposition methods.

This book is devoted to the basic mathematical properties of solutions to boundary integral equations and presents a systematic approach to the variational methods for the boundary integral equations arising in elasticity, fluid mechanics, and acoustic scattering theory. It may also serve as the mathematical foundation of the boundary element methods. The latter have recently become extremely popular and efficient computational tools in applications. The authors are well known for their fundamental work on boundary integral equations and related topics. This book is a major scholarly...

This application-oriented work concerns the design of efficient, robust and reliable algorithms for the numerical simulation of multiscale phenomena. To this end, various modern techniques from scattered data modelling, such as splines over triangulations and radial basis functions, are combined with customized adaptive strategies, which are developed individually in this work. The resulting multiresolution methods include thinning algorithms, multi levelapproximation schemes, and meshfree discretizations for transport equa tions. The utility of the proposed computational methods is supported...

TheGer? sgorin CircleTheorem, averywell-known resultin linear algebra today, stems from the paper of S. Ger? sgorin in 1931 (which is reproduced in AppendixD)where, givenanarbitrarynncomplexmatrix, easyarithmetic operationsontheentriesofthematrixproducendisks, inthecomplexplane, whose union contains all eigenvalues of the given matrix. The beauty and simplicity of Ger? sgorin's Theorem has undoubtedly inspired further research in this area, resulting in hundreds of papers in which the name "Ger? sgorin" appears. The goal of this book is to give a careful and up-to-date treatment of various...

The Third International Workshop on Numerical Analysis and Lattice QCD tookplaceattheUniversityofEdinburgh fromJune30th toJuly4th,2003. It continued a sequence which started in 1995 at the University of Kentucky and continuedin1999withaworkshopattheUniversityofWuppertal.Theaimof these workshops is to bring together applied mathematicians and theoretical physicists to stimulate the exchange of ideas between leading experts in the ?elds of lattice QCD and numerical analysis. Indeed, the last ten years have seen quite a substantial increase in cooperation between the two scienti?c communities,...

TheEleventh LMS-EPSRCComputational MathematicsandScienti?cC- puting Summer School was held at the University of Durham, UK, from the 4th of July to the 9th of July 2004. This was the third of these schools to be held in Durham, having previously been hosted by the University of L- caster and the University of Leicester. The purpose of the summer school was to present high quality instructional courses on topics at the forefront of computational mathematics and scienti?c computing research to postgra- ate students. The main speakers were Emmanuel Candes, Markus Melenk, Joe Monaghan and Alex...

The purpose of this book is to describe recent developments in solving eig- value problems, in particular with respect to the QR and QZ algorithms as well as structured matrices. Outline Mathematically speaking, the eigenvalues of a square matrix A are the roots of its characteristic polynomial det(A I). An invariant subspace is a linear subspace that stays invariant under the action of A. In realistic applications, it usually takes a long process of simpli?cations, linearizations and discreti- tions before one comes up with the problem of computing the eigenvalues of a matrix. In some cases,...

This volume contains a collection of expert views on the state of the art in Large Eddy Simulation (LES) and its application to complex ?ows. Much of the material in this volume was inspired by contributions that were originally presented at the symposium on Complex E?ects in Large Eddy Simulation held in Lemesos (Limassol), Cyprus, between September 21st and 24th, 2005. The symposium was organized by the University of Cyprus together with the Center for Turbulence Research at Stanford University and NASA Ames Research Center. Many of the problems that must be tackled in order to advance...

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...

The Ninth EPSRC Numerical Analysis Summer School was held at the Uni- versity of Durharn, UK, from the 10th to the 21st of July 2000. This was the first of these schools to be held in Durharn, having previously been hosted, initially by the University of Lancaster and latterly by the University of Leicester. The purpose of the summer school was to present high quality in- structional courses on topics at the forefront of numerical analysis research to postgraduate students. Eminent figures in numerical analysis presented lectures and provided high quality lecture notes. At the time of writing...

Ces notes de cours (Ecole Nationale des Ponts et Chaussees, DEA de Mecanique de Paris VI) presentent la methode des elements finis dans un cadre mathematique rigoureux. En accordant une place fondamentale aux conditions inf-sup, elles s'affranchissent du cadre reducteur Lax-Milgram/Galerkin standard. Elles couvrent un spectre d'applications relativement large et apportent de nombreuses precisions sur la mise en oeuvre numerique. Trois plans de lecture sont proposes: le premier concu pour un lecteur interesse par les aspects mathematiques, le deuxieme s' adressant aux ingenieurs et le...

This research monograph addresses recent developments of wavelet concepts in the context of large scale numerical simulation. It offers a systematic attempt to exploit the sophistication of wavelets as a numerical tool by adapting wavelet bases to the problem at hand. This includes both the construction of wavelets on fairly general domains and the adaptation of wavelet bases to the particular structure of function spaces governing certain variational problems. Those key features of wavelets that make them a powerful tool in numerical analysis and simulation are clearly pointed out. The...

Ce livre est destine a tous ceux, mathematiciens ou non, qui souhaitent acquerir une maitrise pratique de l'outil probabiliste dans ses applications les plus courantes. L'elaboration d'un modele probabiliste conduit, en dehors de cas particuliers de faible interet pratique, a des problemes theoriques difficiles qui sont vite hors de portee de l'utilisateur (comme d'ailleurs souvent du probabiliste professionnel). La validation d'un tel modele passe alors necessairement par la simulation, qui ne met en jeu en general que des procedures extremement simples. Apprendre a utiliser les modeles...

Dieses Numerik-Lehrbuch hat sich seit seinem Erscheinen zu einem Standardwerk der Numerischen Mathematik entwickelt und wird in zahlreichen Lehrveranstaltungen zur Einfuhrung in die Numerik als Begleittext verwendet. Der Erfolg dieses Lehrbuchs liegt in der Verbindung analytischer Strenge in der Prasentation der grundlegenden Prinzipien der Numerischen Mathematik und praktischer Anwendung durch Bereitstellung und Diskussion fundamentaler algorithmischer Werkzeuge.

Die in den vergangenen Jahren in den Bereichen der Numerik und des Wissenschaftlichen Rechnens erfolgte Entwicklung...

Applied Mathematics: Body&Soul is a mathematics education reform p- gram including a series of books, together with associated educational ma- rial and open source software freely available from the project web page at www.bodysoulmath.org. Body&Soul re?ects the revolutionary new possibilities of mathematical modeling opened by the modern computer in the form of Computational C- culus (CC), which is now changing the paradigm of mathematical modeling in science and technology with new methods, questions and answers, as a modern form of the classical calculus of Leibniz and Newton. The...

Dieses Buch ist aus einem Fernstudienkurs entstanden, den ich seit dem Winterse mester 1989/90 in jahrlichem Rhythmus den Studenten der FernUniversitat Ha gen im Diplomstudiengang Informatik als dritten Teil eines viersemestrigen Zy klus "Mathematik fur Informatiker I-IV" anbiete. Form, Aufbau und Inhalt die ses Buches lassen seine Genesis erkennen; es ist in manchem anders als die mei sten Lehrbucher uber Numerik: Ein Fernstudienkurs muss selbstinstruierend sein, so dass der Lehrstoff etwas breiter als ublich dargestellt ist. Insbesondere sind viele Beispiele und Aufgaben, die teilweise auch...