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Author : Moïse Sibony
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (715 download)
Download or read book Analyse numérique. 2. Approximations et équations différentielles written by Moïse Sibony and published by . This book was released on 1982 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moïse Sibony
Publisher :
ISBN 13 : 9782705672935
Total Pages : 0 pages
Book Rating : 4.6/5 (729 download)
Download or read book Analyse numérique written by Moïse Sibony and published by . This book was released on 1997 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tijana Levajković
Publisher : Springer
ISBN 13 : 3319656783
Total Pages : 139 pages
Book Rating : 4.3/5 (196 download)
Download or read book Equations Involving Malliavin Calculus Operators written by Tijana Levajković and published by Springer. This book was released on 2017-08-31 with total page 139 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive and unified introduction to stochastic differential equations and related optimal control problems. The material is new and the presentation is reader-friendly. A major contribution of the book is the development of generalized Malliavin calculus in the framework of white noise analysis, based on chaos expansion representation of stochastic processes and its application for solving several classes of stochastic differential equations with singular data involving the main operators of Malliavin calculus. In addition, applications in optimal control and numerical approximations are discussed. The book is divided into four chapters. The first, entitled White Noise Analysis and Chaos Expansions, includes notation and provides the reader with the theoretical background needed to understand the subsequent chapters. In Chapter 2, Generalized Operators of Malliavin Calculus, the Malliavin derivative operator, the Skorokhod integral and the Ornstein-Uhlenbeck operator are introduced in terms of chaos expansions. The main properties of the operators, which are known in the literature for the square integrable processes, are proven using the chaos expansion approach and extended for generalized and test stochastic processes. Chapter 3, Equations involving Malliavin Calculus operators, is devoted to the study of several types of stochastic differential equations that involve the operators of Malliavin calculus, introduced in the previous chapter. Fractional versions of these operators are also discussed. Finally, in Chapter 4, Applications and Numerical Approximations are discussed. Specifically, we consider the stochastic linear quadratic optimal control problem with different forms of noise disturbances, operator differential algebraic equations arising in fluid dynamics, stationary equations and fractional versions of the equations studied – applications never covered in the extant literature. Moreover, numerical validations of the method are provided for specific problems."
Author : Moise Sibony
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (878 download)
Download or read book Analyse numerique II written by Moise Sibony and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Moïse Sibony
Publisher :
ISBN 13 :
Total Pages : 510 pages
Book Rating : 4.0/5 ( download)
Download or read book Analyse numérique: Approximations et équations différentielles written by Moïse Sibony and published by . This book was released on 1982 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis Begnaud Hildebrand
Publisher : Courier Corporation
ISBN 13 : 0486653633
Total Pages : 708 pages
Book Rating : 4.4/5 (866 download)
Download or read book Introduction to Numerical Analysis written by Francis Begnaud Hildebrand and published by Courier Corporation. This book was released on 1987-01-01 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solutions which are not expressed in tractable forms. This well-known, highly respected volume provides an introduction to the fundamental processes of numerical analysis, including substantial grounding in the basic operations of computation, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations, as well as in applications to such processes as the smoothing of data, the numerical summation of series, and the numerical solution of ordinary differential equations. Chapter headings include: l. Introduction 2. Interpolation with Divided Differences 3. Lagrangian Methods 4. Finite-Difference Interpolation 5. Operations with Finite Differences 6. Numerical Solution of Differential Equations 7. Least-Squares Polynomial Approximation In this revised and updated second edition, Professor Hildebrand (Emeritus, Mathematics, MIT) made a special effort to include more recent significant developments in the field, increasing the focus on concepts and procedures associated with computers. This new material includes discussions of machine errors and recursive calculation, increased emphasis on the midpoint rule and the consideration of Romberg integration and the classical Filon integration; a modified treatment of prediction-correction methods and the addition of Hamming's method, and numerous other important topics. In addition, reference lists have been expanded and updated, and more than 150 new problems have been added. Widely considered the classic book in the field, Hildebrand's Introduction to Numerical Analysis is aimed at advanced undergraduate and graduate students, or the general reader in search of a strong, clear introduction to the theory and analysis of numbers.
Author : Michel Crouzeix
Publisher :
ISBN 13 :
Total Pages : 190 pages
Book Rating : 4.3/5 (91 download)
Download or read book Analyse numérique des équations différentielles written by Michel Crouzeix and published by . This book was released on 1984 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ernst Hairer
Publisher : Springer
ISBN 13 : 3642052215
Total Pages : 627 pages
Book Rating : 4.6/5 (42 download)
Download or read book Solving Ordinary Differential Equations II written by Ernst Hairer and published by Springer. This book was released on 2010-03-10 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of this book is the solution of stiff differential equations and of differential-algebraic systems. This second edition contains new material including new numerical tests, recent progress in numerical differential-algebraic equations, and improved FORTRAN codes. From the reviews: "A superb book...Throughout, illuminating graphics, sketches and quotes from papers of researchers in the field add an element of easy informality and motivate the text." --MATHEMATICS TODAY
Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematica - revue d'analyse numérique et de théorie de l'approximation written by and published by . This book was released on 1992 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vol. 3, 9: Compte rendu du 1.[-2] Congrés des mathematiciens roumains.
![Download Navier–Stokes Equations on R3 × [0, T] PDF Online Free](https://books.google.com/books/content/images/frontcover/9k8iDQAAQBAJ?fife=w200-h370)
Author : Frank Stenger
Publisher : Springer
ISBN 13 : 3319275267
Total Pages : 232 pages
Book Rating : 4.3/5 (192 download)
Download or read book Navier–Stokes Equations on R3 × [0, T] written by Frank Stenger and published by Springer. This book was released on 2016-09-23 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, leading researchers in the world of numerical analysis, partial differential equations, and hard computational problems study the properties of solutions of the Navier–Stokes partial differential equations on (x, y, z, t) ∈ R3 × [0, T]. Initially converting the PDE to a system of integral equations, the authors then describe spaces A of analytic functions that house solutions of this equation, and show that these spaces of analytic functions are dense in the spaces S of rapidly decreasing and infinitely differentiable functions. This method benefits from the following advantages: The functions of S are nearly always conceptual rather than explicit Initial and boundary conditions of solutions of PDE are usually drawn from the applied sciences, and as such, they are nearly always piece-wise analytic, and in this case, the solutions have the same properties When methods of approximation are applied to functions of A they converge at an exponential rate, whereas methods of approximation applied to the functions of S converge only at a polynomial rate Enables sharper bounds on the solution enabling easier existence proofs, and a more accurate and more efficient method of solution, including accurate error bounds Following the proofs of denseness, the authors prove the existence of a solution of the integral equations in the space of functions A ∩ R3 × [0, T], and provide an explicit novel algorithm based on Sinc approximation and Picard–like iteration for computing the solution. Additionally, the authors include appendices that provide a custom Mathematica program for computing solutions based on the explicit algorithmic approximation procedure, and which supply explicit illustrations of these computed solutions.
Author : Jean-Pierre Demailly
Publisher : L'Editeur : EDP Sciences
ISBN 13 : 9782868838919
Total Pages : 343 pages
Book Rating : 4.8/5 (389 download)
Download or read book Analyse numérique et équations différentielles written by Jean-Pierre Demailly and published by L'Editeur : EDP Sciences. This book was released on 2006 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage est un cours d'introduction à la théorie des équations différentielles ordinaires, accompagné d'un exposé détaillé de différentes méthodes numériques permettant de les résoudre en pratique. La première partie présente quelques techniques importantes de l'analyse numérique : interpolation polynomiale, méthodes d'intégration numérique, méthodes itératives pour la résolution d'équations. Suit un exposé rigoureux des résultats de base sur l'existence, l'unicité et la régularité des solutions des équations différentielles, incluant une étude détaillée des équations usuelles du premier et du second ordre, des équations et systèmes différentiels linéaires, de la stabilité des solutions et leur dépendance par rapport aux paramètres. Une place substantielle est accordée à la description des méthodes numériques à un pas ou multi-pas, avec une étude comparative de la stabilité et du coût en temps de calcul. Agrémenté de nombreux exemples concrets, le texte propose des exercices et des problèmes d'application à la fin de chaque chapitre. Cette troisième édition a été enrichie de nouveaux exemples et exercices et de compléments théoriques et pratiques : comportement des suites itératives, théorème des fonctions implicites et ses conséquences géométriques, critère de maximalité des solutions d'équations différentielles, calcul des géodésiques d'une surface, flots de champ de vecteurs... Cet ouvrage est surtout destiné aux étudiants (licence (L3), masters scientifiques, écoles d'ingénieurs, agrégatifs de mathématiques). Les enseignants, professionnels (physiciens, mécaniciens...) l'utiliseront comme outil de base.
Author : Ali Taheri
Publisher : OUP Oxford
ISBN 13 : 0191047821
Total Pages : 523 pages
Book Rating : 4.1/5 (91 download)
Download or read book Function Spaces and Partial Differential Equations written by Ali Taheri and published by OUP Oxford. This book was released on 2015-07-30 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book written primarily for graduate students and early researchers in the fields of Analysis and Partial Differential Equations (PDEs). Coverage of the material is essentially self-contained, extensive and novel with great attention to details and rigour. The strength of the book primarily lies in its clear and detailed explanations, scope and coverage, highlighting and presenting deep and profound inter-connections between different related and seemingly unrelated disciplines within classical and modern mathematics and above all the extensive collection of examples, worked-out and hinted exercises. There are well over 700 exercises of varying level leading the reader from the basics to the most advanced levels and frontiers of research. The book can be used either for independent study or for a year-long graduate level course. In fact it has its origin in a year-long graduate course taught by the author in Oxford in 2004-5 and various parts of it in other institutions later on. A good number of distinguished researchers and faculty in mathematics worldwide have started their research career from the course that formed the basis for this book.
Author : Arieh Iserles
Publisher : Cambridge University Press
ISBN 13 : 9780521770880
Total Pages : 310 pages
Book Rating : 4.7/5 (78 download)
Download or read book Acta Numerica 1999: Volume 8 written by Arieh Iserles and published by Cambridge University Press. This book was released on 1999-07-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical analysis is the subject of applied mathematics concerned mainly with using computers in evaluating or approximating mathematical models. As such, it is crucial to all applications of mathematics in science and engineering, as well as being an important discipline on its own. Acta Numerica surveys annually the most important developments in numerical analysis and scientific computing. The subjects and authors of the substantive survey articles are chosen by a distinguished international editorial board so as to report the most important developments in the subject in a manner accessible to the wider community of professionals with an interest in scientific computing.
Author : Chuchu Chen
Publisher : Springer Nature
ISBN 13 : 9819966868
Total Pages : 293 pages
Book Rating : 4.8/5 (199 download)
Download or read book Numerical Approximations of Stochastic Maxwell Equations written by Chuchu Chen and published by Springer Nature. This book was released on 2024-01-04 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems. This book provides some recent advances in the investigation of numerical approximations of the stochastic Maxwell equations via structure-preserving algorithms. It presents an accessible overview of the construction and analysis of structure-preserving algorithms with an emphasis on the preservation of geometric structures, physical properties, and asymptotic behaviors of the stochastic Maxwell equations. A friendly introduction to the simulation of the stochastic Maxwell equations with some structure-preserving algorithms is provided using MATLAB for the reader’s convenience. The objects considered in this book are related to several fascinating mathematical fields: numerical analysis, stochastic analysis, (multi-)symplectic geometry, large deviations principle, ergodic theory, partial differential equation, probability theory, etc. This book will appeal to researchers who are interested in these topics.
Author : Deuflhard
Publisher : Springer Science & Business Media
ISBN 13 : 1468473247
Total Pages : 369 pages
Book Rating : 4.4/5 (684 download)
Download or read book Numerical Treatment of Inverse Problems in Differential and Integral Equations written by Deuflhard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many scientific or engineering applications, where ordinary differen tial equation (OOE),partial differential equation (POE), or integral equation (IE) models are involved, numerical simulation is in common use for prediction, monitoring, or control purposes. In many cases, however, successful simulation of a process must be preceded by the solution of the so-called inverse problem, which is usually more complex: given meas ured data and an associated theoretical model, determine unknown para meters in that model (or unknown functions to be parametrized) in such a way that some measure of the "discrepancy" between data and model is minimal. The present volume deals with the numerical treatment of such inverse probelms in fields of application like chemistry (Chap. 2,3,4, 7,9), molecular biology (Chap. 22), physics (Chap. 8,11,20), geophysics (Chap. 10,19), astronomy (Chap. 5), reservoir simulation (Chap. 15,16), elctrocardiology (Chap. 14), computer tomography (Chap. 21), and control system design (Chap. 12,13). In the actual computational solution of inverse problems in these fields, the following typical difficulties arise: (1) The evaluation of the sen sitivity coefficients for the model. may be rather time and storage con suming. Nevertheless these coefficients are needed (a) to ensure (local) uniqueness of the solution, (b) to estimate the accuracy of the obtained approximation of the solution, (c) to speed up the iterative solution of nonlinear problems. (2) Often the inverse problems are ill-posed. To cope with this fact in the presence of noisy or incomplete data or inev itable discretization errors, regularization techniques are necessary.
Author : Moïse Sibony
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.3/5 (91 download)
Download or read book Approximations et équations différentielles written by Moïse Sibony and published by . This book was released on 1982 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : I. S. Berezin
Publisher : Elsevier
ISBN 13 : 1483152294
Total Pages : 696 pages
Book Rating : 4.4/5 (831 download)
Download or read book Computing Methods written by I. S. Berezin and published by Elsevier. This book was released on 2014-05-16 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computing Methods, Volume 2 is a five-chapter text that presents the numerical methods of solving sets of several mathematical equations. This volume includes computation sets of linear algebraic equations, high degree equations and transcendental equations, numerical methods of finding eigenvalues, and approximate methods of solving ordinary differential equations, partial differential equations and integral equations. The book is intended as a text-book for students in mechanical mathematical and physics-mathematical faculties specializing in computer mathematics and persons interested in the theory and practice of numerical methods.
