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Mathematical Modelling of the Human Cardiovascular System - Data, Numerical Approximation, Clinical Applications (Hardcover):... Mathematical Modelling of the Human Cardiovascular System - Data, Numerical Approximation, Clinical Applications (Hardcover)
Alfio Quarteroni, Luca Dede, Andrea Manzoni, Christian Vergara
R1,721 Discovery Miles 17 210 Ships in 12 - 17 working days

Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantification and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach.

Reduced Order Methods for Modeling and Computational Reduction (Hardcover, 2014 ed.): Alfio Quarteroni, Gianluigi Rozza Reduced Order Methods for Modeling and Computational Reduction (Hardcover, 2014 ed.)
Alfio Quarteroni, Gianluigi Rozza
R2,681 Discovery Miles 26 810 Ships in 12 - 17 working days

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 biomedical engineering and computational physics; real-time visualization of physics-based simulations in computer science; the treatment of high-dimensional problems in state space, physical space, or parameter space; the interactions between different model reduction and dimensionality reduction approaches; the development of general error estimation frameworks which take into account both model and discretization effects.

This book is primarily addressed to computational scientists interested in computational reduction techniques for large scale differential problems.

Modeling of Physiological Flows (Hardcover, 2011): Davide Ambrosi, Alfio Quarteroni, Gianluigi Rozza Modeling of Physiological Flows (Hardcover, 2011)
Davide Ambrosi, Alfio Quarteroni, Gianluigi Rozza
R2,444 R1,971 Discovery Miles 19 710 Save R473 (19%) Ships in 12 - 17 working days

Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning. This book offers a mathematical update of the state of the art of the research in the field, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by outstanding experts in the field. Many fundamental issues are considered, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and efficient simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling the cardiovascular system or, more broadly, physiological flows

Reduced Basis Methods for Partial Differential Equations - An Introduction (Paperback, 1st ed. 2016): Alfio Quarteroni, Andrea... Reduced Basis Methods for Partial Differential Equations - An Introduction (Paperback, 1st ed. 2016)
Alfio Quarteroni, Andrea Manzoni, Federico Negri
R1,350 Discovery Miles 13 500 Ships in 12 - 17 working days

This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDE-constrained optimization. The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their built-in algebraic and geometric structures. More specifically, the authors discuss alternative strategies for constructing accurate RB spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis. The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing. All these pseudocodes are in fact implemented in a MATLAB package that is freely available at https://github.com/redbkit

Multiscale and Adaptivity: Modeling, Numerics and Applications - C.I.M.E. Summer School, Cetraro, Italy 2009 (Paperback, 2012):... Multiscale and Adaptivity: Modeling, Numerics and Applications - C.I.M.E. Summer School, Cetraro, Italy 2009 (Paperback, 2012)
Silvia Bertoluzza, Ricardo H. Nochetto, Alfio Quarteroni, Kunibert G Siebert, Andreas Veeser; Adapted by …
R1,707 R1,389 Discovery Miles 13 890 Save R318 (19%) Ships in 12 - 17 working days

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 being treated directly with traditional tools, and new mathematical and computational instruments have had to be developed to tackle such problems. The outstanding and internationally renowned lecturers, coming from different areas of Applied Mathematics, have themselves contributed in an essential way to the development of the theory and techniques that constituted the subjects of the courses.

Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms (Hardcover): Peter Benner, Stefano Grivet-Talocia,... Model Order Reduction - Volume 2: Snapshot-Based Methods and Algorithms (Hardcover)
Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Wil Schilders, …
R4,118 Discovery Miles 41 180 Ships in 7 - 11 working days

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This two-volume handbook covers methods as well as applications. This second volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Model Order Reduction - Volume 3: Applications (Hardcover): Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi... Model Order Reduction - Volume 3: Applications (Hardcover)
Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Wil Schilders, …
R4,141 Discovery Miles 41 410 Ships in 7 - 11 working days

An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This three-volume handbook covers methods as well as applications. This third volume focuses on applications in engineering, biomedical engineering, computational physics and computer science.

Modeling the Heart and the Circulatory System (Hardcover, 2015 ed.): Alfio Quarteroni Modeling the Heart and the Circulatory System (Hardcover, 2015 ed.)
Alfio Quarteroni
R2,069 R1,671 Discovery Miles 16 710 Save R398 (19%) Ships in 12 - 17 working days

Thebook comprises the contribution of several authors who are among the mostrenowned scientists working in the field of mathematical modeling and numerical simulation of the human cardiocirculatory system. The contributions cover a wide range of topics, from the pre processing of clinical data, to the set up of mathematical equations, their numerical solution, both in-vivo and in-vitro validation. They address the flow in the systemic arterial tree and the complex electro-fluid-mechanical coupling in the human heart. Many examples of patient-specific simulations are addressed. This book is addressed to all scientists (from PhD level up to professional scientists) interested in the mathematical modeling and numerical simulation of the human cardiocirculatory system."

Calcolo Scientifico - Esercizi E Problemi Risolti Con MATLAB E Octave (Italian, Paperback, 6th 2017 ed.): Alfio Quarteroni,... Calcolo Scientifico - Esercizi E Problemi Risolti Con MATLAB E Octave (Italian, Paperback, 6th 2017 ed.)
Alfio Quarteroni, Fausto Saleri, Paola Gervasio
R877 R715 Discovery Miles 7 150 Save R162 (18%) Ships in 12 - 17 working days

Questo testo e concepito per i corsi delle Facolta di Ingegneria e di Scienze. Esso affronta tutti gli argomenti tipici della Matematica Numerica, spaziando dal problema di risolvere sistemi di equazioni lineari e non lineari a quello di approssimare una funzione, di calcolare i suoi minimi, le sue derivate ed il suo integrale definito fino alla risoluzione di equazioni differenziali ordinarie e alle derivate parziali con metodi alle differenze finite ed agli elementi finiti. Un capitolo iniziale conduce lo studente ad un rapido ripasso degli argomenti dell'Analisi Matematica e dell'Algebra Lineare di uso frequente nel volume e ad una introduzione ai linguaggi MATLAB e Octave. Al fine di rendere maggiormente incisiva la presentazione e fornire un riscontro quantitativo immediato alla teoria vengono implementati in linguaggio MATLAB e Octave tutti gli algoritmi che via via si introducono. Vengono inoltre proposti numerosi esercizi, tutti risolti per esteso, ed esempi, anche con riferimento ad applicazioni in vari ambiti scientifici. Questa sesta edizione si differenzia dalle precedenti per l'aggiunta di nuovi sviluppi, di nuovi esempi relativi ad applicazioni di interesse reale e di svariati esercizi con relative soluzioni.

Numerical Models for Differential Problems (Hardcover, 3rd ed. 2017): Alfio Quarteroni Numerical Models for Differential Problems (Hardcover, 3rd ed. 2017)
Alfio Quarteroni
R2,491 Discovery Miles 24 910 Ships in 7 - 11 working days

In this text, we introduce the basic concepts for the numerical modeling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.

A Primer on Mathematical Modelling (Paperback, 1st ed. 2020): Alfio Quarteroni, Paola Gervasio A Primer on Mathematical Modelling (Paperback, 1st ed. 2020)
Alfio Quarteroni, Paola Gervasio; Translated by Simon G. Chiossi
R875 R823 Discovery Miles 8 230 Save R52 (6%) Ships in 10 - 15 working days

In this book we describe the magic world of mathematical models: starting from real-life problems, we formulate them in terms of equations, transform equations into algorithms and algorithms into programs to be executed on computers. A broad variety of examples and exercises illustrate that properly designed models can, e.g.: predict the way the number of dolphins in the Aeolian Sea will change as food availability and fishing activity vary; describe the blood flow in a capillary network; calculate the PageRank of websites. This book also includes a chapter with an elementary introduction to Octave, an open-source programming language widely used in the scientific community. Octave functions and scripts for dealing with the problems presented in the text can be downloaded from https://paola-gervasio.unibs.it/quarteroni-gervasio This book is addressed to any student interested in learning how to construct and apply mathematical models.

Numerical Mathematics (Paperback, Softcover reprint of hardcover 2nd ed. 2007): Alfio Quarteroni, Riccardo Sacco, Fausto Saleri Numerical Mathematics (Paperback, Softcover reprint of hardcover 2nd ed. 2007)
Alfio Quarteroni, Riccardo Sacco, Fausto Saleri
R2,084 Discovery Miles 20 840 Ships in 7 - 11 working days

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been

Spectral Methods - Fundamentals in Single Domains (Paperback, Softcover reprint of hardcover 1st ed. 2006): Claudio Canuto,... Spectral Methods - Fundamentals in Single Domains (Paperback, Softcover reprint of hardcover 1st ed. 2006)
Claudio Canuto, M.Yousuff Hussaini, Alfio Quarteroni, Thomas A Zang
R2,253 Discovery Miles 22 530 Ships in 7 - 11 working days

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 discussion of direct and iterative solution methods is also greatly expanded.

Spectral Methods - Evolution to Complex Geometries and Applications to Fluid Dynamics (Hardcover, 2007 ed.): Claudio Canuto,... Spectral Methods - Evolution to Complex Geometries and Applications to Fluid Dynamics (Hardcover, 2007 ed.)
Claudio Canuto, M.Yousuff Hussaini, Alfio Quarteroni, Thomas A Zang
R3,181 R2,558 Discovery Miles 25 580 Save R623 (20%) Ships in 12 - 17 working days

Spectral methods, particularly in their multidomain version, have become firmly established as a mainstream tool for scientific and engineering computation. While retaining the tight integration between the theoretical and practical aspects of spectral methods that was the hallmark of their 1988 book, Canuto et al. now incorporate the many improvements in the algorithms and the theory of spectral methods that have been made since then.

This second new treatment, Evolution to Complex Geometries and Applications to Fluid Dynamics, provides an extensive overview of the essential algorithmic and theoretical aspects of spectral methods for complex geometries, in addition to detailed discussions of spectral algorithms for fluid dynamics in simple and complex geometries. Modern strategies for constructing spectral approximations in complex domains, such as spectral elements, mortar elements, and discontinuous Galerkin methods, as well as patching collocation, are introduced, analyzed, and demonstrated by means of numerous numerical examples. Representative simulations from continuum mechanics are also shown. Efficient domain decomposition preconditioners (of both Schwarz and Schur type) that are amenable to parallel implementation are surveyed. The discussion of spectral algorithms for fluid dynamics in single domains focuses on proven algorithms for the boundary-layer equations, linear and nonlinear stability analyses, incompressible Navier-Stokes problems, and both inviscid and viscous compressible flows. An overview of the modern approach to computing incompressible flows in general geometries using high-order, spectral discretizations is also provided.

The recent companion book Fundamentals in Single Domains discusses the fundamentals of the approximation of solutions to ordinary and partial differential equations on single domains by expansions in smooth, global basis functions. The essential concepts and formulas from this book are included in the current text for the reader s convenience."

Numerical Mathematics (Hardcover, 2nd ed. 2007): Alfio Quarteroni, Riccardo Sacco, Fausto Saleri Numerical Mathematics (Hardcover, 2nd ed. 2007)
Alfio Quarteroni, Riccardo Sacco, Fausto Saleri
R2,261 Discovery Miles 22 610 Ships in 10 - 15 working days

This book provides the mathematical foundations of numerical methods and demonstrates their performance on examples, exercises and real-life applications. This is done using the MATLAB software environment, which allows an easy implementation and testing of the algorithms for any specific class of problems. The book is addressed to students in Engineering, Mathematics, Physics and Computer Sciences. In the second edition of this extremely popular textbook on numerical analysis, the readability of pictures, tables and program headings has been improved. Several changes in the chapters on iterative methods and on polynomial approximation have also been

Spectral Methods - Fundamentals in Single Domains (Hardcover, 1st ed. 2006. Corr. 4th printing 2010): Claudio Canuto, M.Yousuff... Spectral Methods - Fundamentals in Single Domains (Hardcover, 1st ed. 2006. Corr. 4th printing 2010)
Claudio Canuto, M.Yousuff Hussaini, Alfio Quarteroni, Thomas A Zang
R3,032 Discovery Miles 30 320 Ships in 7 - 11 working days

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 discussion of direct and iterative solution methods is also greatly expanded.

Advanced Numerical Approximation of Nonlinear Hyperbolic Equations - Lectures given at the 2nd Session of the Centro... Advanced Numerical Approximation of Nonlinear Hyperbolic Equations - Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Cetraro, Italy, June 23-28, 1997 (Paperback, 1998 ed.)
Alfio Quarteroni; B. Cockburn, C. Johnson, C.-W. Shu, E. Tadmor
R2,145 Discovery Miles 21 450 Ships in 7 - 11 working days

This volume contains the texts of the four series of lectures presented by B.Cockburn, C.Johnson, C.W. Shu and E.Tadmor at a C.I.M.E. Summer School. It is aimed at providing a comprehensive and up-to-date presentation of numerical methods which are nowadays used to solve nonlinear partial differential equations of hyperbolic type, developing shock discontinuities. The most effective methodologies in the framework of finite elements, finite differences, finite volumes spectral methods and kinetic methods, are addressed, in particular high-order shock capturing techniques, discontinuous Galerkin methods, adaptive techniques based upon a-posteriori error analysis.

Spectral Methods in Fluid Dynamics (Paperback, 1st ed. 1988. Corr. 3rd printing): Claudio Canuto, M.Yousuff Hussaini, Alfio... Spectral Methods in Fluid Dynamics (Paperback, 1st ed. 1988. Corr. 3rd printing)
Claudio Canuto, M.Yousuff Hussaini, Alfio Quarteroni, Thomas a Jr Zang
R2,060 Discovery Miles 20 600 Ships in 7 - 11 working days

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use."

Matematica Numerica (Italian, Paperback, 4th 2014 ed.): Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, Paola Gervasio Matematica Numerica (Italian, Paperback, 4th 2014 ed.)
Alfio Quarteroni, Riccardo Sacco, Fausto Saleri, Paola Gervasio
R912 Discovery Miles 9 120 Ships in 7 - 11 working days

La Matematica Numerica e elemento fondante del calcolo scientifico. Punto di contatto di diverse discipline nella matematica e nelle moderne scienze applicate, ne diventa strumento di indagine qualitativa e quantitativa. Scopo di questo testo e fornire i fondamenti metodologici della matematica numerica, richiamandone le principali proprieta, quali la stabilita, l'accuratezza e la complessita algoritmica. Nel contesto di ogni specifica classe di problemi vengono illustrati gli algoritmi piu idonei, ne viene fatta l'analisi teorica e se ne verificano i risultati previsti implementandoli con l'ausilio di programmi in linguaggio MATLAB. Ogni capitolo e integrato da esercizi e temi svolti, questi ultimi corredati da programmi MATLAB. Il volume e indirizzato principalmente agli studenti delle facolta scientifiche, con particolare attenzione ai corsi di laurea in Ingegneria, Matematica e Scienze dell'Informazione. L'enfasi posta sullo sviluppo di software lo rende interessante anche per ricercatori e utilizzatori delle tecniche del calcolo scientifico nei campi professionali piu disparati. La quarta edizione contiene numerose integrazioni in quasi tutti i capitoli. Diverse sezioni sono inoltre state rivisitate con lo scopo di rendere piu chiari concetti ed argomenti di considerevole complessita.

The Mathematics of Mechanobiology - Cetraro, Italy 2018 (Paperback, 1st ed. 2020): Antonio DeSimone, Benoit Perthame, Alfio... The Mathematics of Mechanobiology - Cetraro, Italy 2018 (Paperback, 1st ed. 2020)
Antonio DeSimone, Benoit Perthame, Alfio Quarteroni, Lev Truskinovsky; Edited by Davide Ambrosi, …
R1,127 Discovery Miles 11 270 Ships in 7 - 11 working days

This book presents the state of the art in mathematical research on modelling the mechanics of biological systems - a science at the intersection between biology, mechanics and mathematics known as mechanobiology. The book gathers comprehensive surveys of the most significant areas of mechanobiology: cell motility and locomotion by shape control (Antonio DeSimone); models of cell motion and tissue growth (Benoit Perthame); numerical simulation of cardiac electromechanics (Alfio Quarteroni); and power-stroke-driven muscle contraction (Lev Truskinovsky). Each section is self-contained in terms of the biomechanical background, and the content is accessible to all readers with a basic understanding of differential equations and numerical analysis. The book disentangles the phenomenological complexity of the biomechanical problems, while at the same time addressing the mathematical complexity with invaluable clarity. The book is intended for a wide audience, in particular graduate students and applied mathematicians interested in entering this fascinating field.

MATHKNOW - Mathematics, Applied Science and Real Life (Hardcover, 2009 ed.): Alfio Quarteroni MATHKNOW - Mathematics, Applied Science and Real Life (Hardcover, 2009 ed.)
Alfio Quarteroni
R2,393 Discovery Miles 23 930 Ships in 7 - 11 working days

Mathematics forms bridges between knowledge, tradition, and contemporary life.
The continuous development and growth of its many branches, both classical and modern, permeates and fertilizes all aspects of applied science and technology, and so has a vital impact on our modern society. The book will focus on these aspects and will benefit from the contribution of several world-famous scientists from mathematics and related sciences, such as: Ralph Abraham, Andrew Crumey, Peter Markowich, Claudio Procesi, Clive Ruggles, Ismail Serageldin, Amin Shokrollahi, Tobias Wallisser

Methodes Numeriques - Algorithmes, Analyse Et Applications (French, Paperback, 2007 ed.): Alfio Quarteroni, R. Sacco, Fausto... Methodes Numeriques - Algorithmes, Analyse Et Applications (French, Paperback, 2007 ed.)
Alfio Quarteroni, R. Sacco, Fausto Saleri
R1,518 Discovery Miles 15 180 Ships in 7 - 11 working days

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. Beaucoup d'exemples et de contre-exemples sont proposes pour permettre au lecteur de developper son sens critique. Une caracteristique principale du livre reside dans l'abondance des programmes MATLAB qui accompagnent toutes les methodes numeriques presentees et qui les illustrent par des applications concretes. Le lecteur detient ainsi tous les outils pour acquerir de solides connaissances theoriques et les appliquer directement sur ordinateur. Cet ouvrage s'adresse aux etudiants du second cycle des universites, aux eleves des ecoles d'ingenieurs et, plus generalement, a toutes les personnes qui pratiquent le calcul scientifique.

Numerische Mathematik 2 (German, Hardcover, 2002 ed.): Alfio Quarteroni Numerische Mathematik 2 (German, Hardcover, 2002 ed.)
Alfio Quarteroni; Translated by Lutz Tobiska; Riccardo Sacco, Fausto Saleri
R967 Discovery Miles 9 670 Ships in 7 - 11 working days

Numerische Mathematik ist ein zentrales Gebiet der Mathematik, das f r vielf ltige Anwendungen die Grundlage bildet und das alle Studierenden der Mathematik, Ingenieurwissenschaften, Informatik und Physik kennenlernen.
Das vorliegende Lehrbuch ist eine didaktisch exzellente, besonders sorgf ltig ausgearbeitete Einf hrung f r Anf nger. Eines der Ziele dieses Buches ist es, die mathematischen Grundlagen der numerischen Methoden zu liefern, ihre grundlegenden theoretischen Eigenschaften (Stabilit t, Genauigkeit, Komplexit t)zu analysieren, und ihre Leistungsf higkeit an Beispielen und Gegenbeispielen mittels MATLAB zu demonstrieren. Die besondere Sorgfalt, die den Anwendungen und betreffenden Softwareentwicklungen gewidmet wurde, macht das vorliegende Werk auch f r Studenten mit abgeschlossenem Studium, Wissenschaftler und Anwender des wissenschaftlichen Rechnens in vielen Berufsfeldern zu einem unverzichtbaren Arbeitsmittel. Inhalt von Band 2 siehe ToC.

Matematica Numerica Esercizi, Laboratori E Progetti (Italian, Paperback, 2nd 2013 ed.): Alfio Quarteroni Matematica Numerica Esercizi, Laboratori E Progetti (Italian, Paperback, 2nd 2013 ed.)
Alfio Quarteroni
R667 Discovery Miles 6 670 Ships in 12 - 17 working days
Calcul Scientifique - Cours, Exercices Corriges Et Illustrations En MATLAB Et Octave (French, Paperback, 2nd ed.): Alfio... Calcul Scientifique - Cours, Exercices Corriges Et Illustrations En MATLAB Et Octave (French, Paperback, 2nd ed.)
Alfio Quarteroni, Fausto Saleri, Paola Gervasio
R1,184 Discovery Miles 11 840 Ships in 7 - 11 working days

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 systematique aux environnements de programmation Matlab et Octave dont les principales commandes sont introduites progressivement. Tous les algorithmes sont presentes sous la forme de programmes. Ceci permet de verifier tres rapidement leurs proprietes theoriques, en particulier la stabilite, la precision et la complexite. La resolution de divers problemes, souvent motives par des applications concretes, fait l'objet de nombreux exemples et exercices. A la fin de chaque chapitre, une section presente des aspects plus avances et fournit des indications bibliographiques qui permettront au lecteur d'appronfondir les connaissances acquises. Le dernier chapitre est consacre a la correction des exercices proposes tout au long du livre"

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