Foundations of Computational Mathematics PDF Download
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Author: Ronald A. DeVore
Publisher: Cambridge University Press
ISBN: 9780521003490
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.
Author: Ronald A. DeVore
Publisher: Cambridge University Press
ISBN: 9780521003490
Category : Mathematics
Languages : en
Pages : 418
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Book Description
Collection of papers by leading researchers in computational mathematics, suitable for graduate students and researchers.
Author: Kendall Atkinson
Publisher: John Wiley & Sons
ISBN: 047004294X
Category : Mathematics
Languages : en
Pages : 270
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Book Description
A concise introduction to numerical methodsand the mathematical framework neededto understand their performance Numerical Solution of Ordinary Differential Equations presents a complete and easy-to-follow introduction to classical topics in the numerical solution of ordinary differential equations. The book's approach not only explains the presented mathematics, but also helps readers understand how these numerical methods are used to solve real-world problems. Unifying perspectives are provided throughout the text, bringing together and categorizing different types of problems in order to help readers comprehend the applications of ordinary differential equations. In addition, the authors' collective academic experience ensures a coherent and accessible discussion of key topics, including: Euler's method Taylor and Runge-Kutta methods General error analysis for multi-step methods Stiff differential equations Differential algebraic equations Two-point boundary value problems Volterra integral equations Each chapter features problem sets that enable readers to test and build their knowledge of the presented methods, and a related Web site features MATLAB® programs that facilitate the exploration of numerical methods in greater depth. Detailed references outline additional literature on both analytical and numerical aspects of ordinary differential equations for further exploration of individual topics. Numerical Solution of Ordinary Differential Equations is an excellent textbook for courses on the numerical solution of differential equations at the upper-undergraduate and beginning graduate levels. It also serves as a valuable reference for researchers in the fields of mathematics and engineering.
Author: H. A. van der Vorst
Publisher: Cambridge University Press
ISBN: 9780521818285
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Table of contents
Author: W. Desch
Publisher: Birkhäuser
ISBN: 303488849X
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Consisting of 23 refereed contributions, this volume offers a broad and diverse view of current research in control and estimation of partial differential equations. Topics addressed include, but are not limited to - control and stability of hyperbolic systems related to elasticity, linear and nonlinear; - control and identification of nonlinear parabolic systems; - exact and approximate controllability, and observability; - Pontryagin's maximum principle and dynamic programming in PDE; and - numerics pertinent to optimal and suboptimal control problems. This volume is primarily geared toward control theorists seeking information on the latest developments in their area of expertise. It may also serve as a stimulating reader to any researcher who wants to gain an impression of activities at the forefront of a vigorously expanding area in applied mathematics.
Author: Antal Balog
Publisher: Springer Science & Business Media
ISBN: 9783764354978
Category : Mathematics
Languages : en
Pages : 364
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Book Description
This is the first volume of the procedings of the second European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners. Together with volume II it contains a collection of contributions by the invited lecturers. Finally, volume II also presents reports on some of the Round Table discussions. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician. Contributors: Vol. I: N. Alon, L. Ambrosio, K. Astala, R. Benedetti, Ch. Bessenrodt, F. Bethuel, P. Bjørstad, E. Bolthausen, J. Bricmont, A. Kupiainen, D. Burago, L. Caporaso, U. Dierkes, I. Dynnikov, L.H. Eliasson, W.T. Gowers, H. Hedenmalm, A. Huber, J. Kaczorowski, J. Kollár, D.O. Kramkov, A.N. Shiryaev, C. Lescop, R. März. Vol. II: J. Matousek, D. McDuff, A.S. Merkurjev, V. Milman, St. Müller, T. Nowicki, E. Olivieri, E. Scoppola, V.P. Platonov, J. Pöschel, L. Polterovich , L. Pyber, N. Simányi, J.P. Solovej, A. Stipsicz, G. Tardos, J.-P. Tignol, A.P. Veselov, E. Zuazua
Author: Are Magnus Bruaset
Publisher: Routledge
ISBN: 1351469371
Category : Mathematics
Languages : en
Pages : 175
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Book Description
The problem of solving large, sparse, linear systems of algebraic equations is vital in scientific computing, even for applications originating from quite different fields. A Survey of Preconditioned Iterative Methods presents an up to date overview of iterative methods for numerical solution of such systems. Typically, the methods considered are w
Author: Stefan A. Sauter
Publisher: Springer Science & Business Media
ISBN: 3540680934
Category : Mathematics
Languages : en
Pages : 575
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Book Description
This work presents a thorough treatment of boundary element methods (BEM) for solving strongly elliptic boundary integral equations obtained from boundary reduction of elliptic boundary value problems in $\mathbb{R}^3$. The book is self-contained, the prerequisites on elliptic partial differential and integral equations being presented in Chapters 2 and 3. The main focus is on the development, analysis, and implementation of Galerkin boundary element methods, which is one of the most flexible and robust numerical discretization methods for integral equations. For the efficient realization of the Galerkin BEM, it is essential to replace time-consuming steps in the numerical solution process with fast algorithms. In Chapters 5-9 these methods are developed, analyzed, and formulated in an algorithmic way.
Author: P L Garrido
Publisher: World Scientific
ISBN: 9814554022
Category :
Languages : en
Pages : 390
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Book Description
This book contains the invited lectures and a short account of communications at the II Granada Lectures which focused on Dynamical Systems. Key concepts such as dissipative dynamical systems, orbits, bifurcations, classical Hamiltonian chaos, KAM theorem, hyperbolic sets, time series analysis, renormalization group, quantum chaos and their applications were covered during the seminar. In addition, popular topics in computational statistical physics such as models of growth, material physics, fluids, nonequilibrium phase transitions, critical phenomena and computational astrophysics were also discussed. Written pedagogically at the graduate level, the topics were described comprehensively and supported by illustrations. This book is useful for beginners and a valuable reference for professionals in this field.
Author: Khalil Ahmad
Publisher: Springer
ISBN: 9811302685
Category : Mathematics
Languages : en
Pages : 249
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Book Description
This book presents the basic concepts of functional analysis, wavelet analysis and thresholding. It begins with an elementary chapter on preliminaries such as basic concepts of functional analysis, a brief tour of the wavelet transform, Haar scaling functions and function space, wavelets, symlets wavelets and coiflets wavelets. In turn, Chapters 2 and 3 address the construction of wavelet packets, selected results on wavelet packets, band-limited wavelet packets, characterisations of wavelet packets, multiresolution analysis (MRA) wavelet packets, pointwise convergence, the convergence of wavelet packet series and convolution bounds. Chapter 4 discusses characterisations of function spaces like Lebesgue spaces, Hardy spaces and Sobolev spaces in terms of wavelet packets, while Chapter 5 is devoted to applications of wavelets and wavelet packets in speech denoising and biomedical signals. In closing, Chapter 6 highlights applications of wavelets and wavelet packets in image denoising.
Author: Pierre-Jean Laurent
Publisher: CRC Press
ISBN: 1439863601
Category : Computers
Languages : en
Pages : 545
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Book Description
This volume documents the results and presentations relating to the use of wavelet theory and other methods in surface fitting and image reconstruction of the Second International Conference on Curves and Surfaces, held in Chamonix in 1993. The papers represent directions for future research and development in many areas of application.
