Stability of the Spline Collocation Method for Volterra Integro-differential Equations

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Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stability of the Spline Collocation Method for Volterra Integro-differential Equations by : Mare Tarang

Download or read book Stability of the Spline Collocation Method for Volterra Integro-differential Equations written by Mare Tarang and published by . This book was released on 2004 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Collocation Methods for Volterra Integral and Related Functional Differential Equations

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Publisher : Cambridge University Press
ISBN 13 : 9780521806152
Total Pages : 620 pages
Book Rating : 4.8/5 (61 download)

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Book Synopsis Collocation Methods for Volterra Integral and Related Functional Differential Equations by : Hermann Brunner

Download or read book Collocation Methods for Volterra Integral and Related Functional Differential Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2004-11-15 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

Analytical and Numerical Methods for Volterra Equations

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Publisher : SIAM
ISBN 13 : 0898711983
Total Pages : 228 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Analytical and Numerical Methods for Volterra Equations by : Peter Linz

Download or read book Analytical and Numerical Methods for Volterra Equations written by Peter Linz and published by SIAM. This book was released on 1985-07-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents integral equations methods for the solution of Volterra equations for those who need to solve real-world problems.

Spline Functions and the Theory of Wavelets

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821870181
Total Pages : 412 pages
Book Rating : 4.8/5 (71 download)

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Book Synopsis Spline Functions and the Theory of Wavelets by : Serge Dubuc

Download or read book Spline Functions and the Theory of Wavelets written by Serge Dubuc and published by American Mathematical Soc.. This book was released on 1999-01-01 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on a series of thematic workshops on the theory of wavelets and the theory of splines. Important applications are included. The volume is divided into four parts: Spline Functions, Theory of Wavelets, Wavelets in Physics, and Splines and Wavelets in Statistics. Part one presents the broad spectrum of current research in the theory and applications of spline functions. Theory ranges from classical univariate spline approximation to an abstract framework for multivariate spline interpolation. Applications include scattered-data interpolation, differential equations and various techniques in CAGD. Part two considers two developments in subdivision schemes; one for uniform regularity and the other for irregular situations. The latter includes construction of multidimensional wavelet bases and determination of bases with a given time frequency localization. In part three, the multifractal formalism is extended to fractal functions involving oscillating singularites. There is a review of a method of quantization of classical systems based on the theory of coherent states. Wavelets are applied in the domains of atomic, molecular and condensed-matter physics. In part four, ways in which wavelets can be used to solve important function estimation problems in statistics are shown. Different wavelet estimators are proposed in the following distinct cases: functions with discontinuities, errors that are no longer Gaussian, wavelet estimation with robustness, and error distribution that is no longer stationary. Some of the contributions in this volume are current research results not previously available in monograph form. The volume features many applications and interesting new theoretical developments. Readers will find powerful methods for studying irregularities in mathematics, physics, and statistics.

Handbook of Splines

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Publisher : Springer Science & Business Media
ISBN 13 : 9401153388
Total Pages : 622 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Handbook of Splines by : Gheorghe Micula

Download or read book Handbook of Splines written by Gheorghe Micula and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.

Volterra Integral Equations

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Publisher : Cambridge University Press
ISBN 13 : 1316982653
Total Pages : 405 pages
Book Rating : 4.3/5 (169 download)

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Book Synopsis Volterra Integral Equations by : Hermann Brunner

Download or read book Volterra Integral Equations written by Hermann Brunner and published by Cambridge University Press. This book was released on 2017-01-20 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the theory of linear and nonlinear Volterra integral equations (VIEs), ranging from Volterra's fundamental contributions and the resulting classical theory to more recent developments that include Volterra functional integral equations with various kinds of delays, VIEs with highly oscillatory kernels, and VIEs with non-compact operators. It will act as a 'stepping stone' to the literature on the advanced theory of VIEs, bringing the reader to the current state of the art in the theory. Each chapter contains a large number of exercises, extending from routine problems illustrating or complementing the theory to challenging open research problems. The increasingly important role of VIEs in the mathematical modelling of phenomena where memory effects play a key role is illustrated with some 30 concrete examples, and the notes at the end of each chapter feature complementary references as a guide to further reading.

Proceedings of the 8th International Conference on Fracture, Fatigue and Wear

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Publisher : Springer Nature
ISBN 13 : 9811598932
Total Pages : 756 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Proceedings of the 8th International Conference on Fracture, Fatigue and Wear by : Magd Abdel Wahab

Download or read book Proceedings of the 8th International Conference on Fracture, Fatigue and Wear written by Magd Abdel Wahab and published by Springer Nature. This book was released on 2021-01-12 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings gather a selection of peer-reviewed papers presented at the 8th International Conference on Fracture Fatigue and Wear (FFW 2020), held as a virtual conference on 26–27 August 2020. The contributions, prepared by international scientists and engineers, cover the latest advances in and innovative applications of fracture mechanics, fatigue of materials, tribology, and wear of materials. In addition, they discuss industrial applications and cover theoretical and analytical methods, numerical simulations and experimental techniques. The book is intended for academics, including graduate students and researchers, as well as industrial practitioners working in the areas of fracture fatigue and wear.

New Developments in Difference Equations and Applications

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Publisher : Routledge
ISBN 13 : 1351428802
Total Pages : 382 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis New Developments in Difference Equations and Applications by : SuiSun Cheng

Download or read book New Developments in Difference Equations and Applications written by SuiSun Cheng and published by Routledge. This book was released on 2017-09-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The late Professor Ming-Po Chen was instrumental in making the Third International Conference on Difference Equations a great success. Dedicated to his memory, these proceedings feature papers presented by many of the most prominent mathematicians in the field. It is a comprehensive collection of the latest developments in topics including stability theory, combinatorics, asymptotics, partial difference equations, as well as applications to biological, social, and natural sciences. This volume is an indispensable reference for academic and applied mathematicians, theoretical physicists, systems engineers, and computer and information scientists.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 990 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1976 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods in Applied Mathematics

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ISBN 13 :
Total Pages : 428 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Computational Methods in Applied Mathematics by :

Download or read book Computational Methods in Applied Mathematics written by and published by . This book was released on 2008 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Constructive Methods for the Practical Treatment of Integral Equations

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Publisher : Birkhäuser
ISBN 13 : 3034893175
Total Pages : 282 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Constructive Methods for the Practical Treatment of Integral Equations by : G. Hämmerlin

Download or read book Constructive Methods for the Practical Treatment of Integral Equations written by G. Hämmerlin and published by Birkhäuser. This book was released on 2013-03-07 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: O I 1 -1 durch die GauB-Quadraturformel Q I n n L w 0 f (x 0) - i=1 1 1 Sei Rn : = I - Q das Fehlerfunktional. n Izl1, Fur eine im Kreis Kr I Kr : = {z E a: holomorphe Funktion f, f(z) = L i=O sei f i i - = x . (1. 1) : = sup{ I a 0 I r i E:JN und R (qo) * O}, qo (x) o 1 n 1 1 In Xr := {f: f holomorph in Kr und Iflr

Algorithms for Approximation

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Publisher : Springer Science & Business Media
ISBN 13 : 3540465510
Total Pages : 389 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Algorithms for Approximation by : Armin Iske

Download or read book Algorithms for Approximation written by Armin Iske and published by Springer Science & Business Media. This book was released on 2006-12-13 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation methods are vital in many challenging applications of computational science and engineering. This is a collection of papers from world experts in a broad variety of relevant applications, including pattern recognition, machine learning, multiscale modelling of fluid flow, metrology, geometric modelling, tomography, signal and image processing. It documents recent theoretical developments which have lead to new trends in approximation, it gives important computational aspects and multidisciplinary applications, thus making it a perfect fit for graduate students and researchers in science and engineering who wish to understand and develop numerical algorithms for the solution of their specific problems. An important feature of the book is that it brings together modern methods from statistics, mathematical modelling and numerical simulation for the solution of relevant problems, with a wide range of inherent scales. Contributions of industrial mathematicians, including representatives from Microsoft and Schlumberger, foster the transfer of the latest approximation methods to real-world applications.

Encyclopaedia of Mathematics

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Publisher : Springer
ISBN 13 : 1489937978
Total Pages : 927 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel

Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-12-01 with total page 927 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 940096000X
Total Pages : 517 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Collocation Methods for Parabolic Equations in a Single Space Variable

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Publisher : Springer
ISBN 13 : 3540383379
Total Pages : 152 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Collocation Methods for Parabolic Equations in a Single Space Variable by : J.jr. Douglas

Download or read book Collocation Methods for Parabolic Equations in a Single Space Variable written by J.jr. Douglas and published by Springer. This book was released on 2006-08-01 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Science and Technology

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Publisher : Springer Nature
ISBN 13 : 981334069X
Total Pages : 585 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Computational Science and Technology by : Rayner Alfred

Download or read book Computational Science and Technology written by Rayner Alfred and published by Springer Nature. This book was released on 2021-04-16 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the proceedings of the Seventh International Conference on Computational Science and Technology 2020 (ICCST 2020), held in Pattaya, Thailand, on 29–30 August 2020. The respective contributions offer practitioners and researchers a range of new computational techniques and solutions, identify emerging issues, and outline future research directions, while also showing them how to apply the latest large-scale, high-performance computational methods.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1884 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt: