Boundary-field Equation Methods For a Class of Nonlinear Problems
Boundary-field Equation Methods For a Class of Nonlinear Problems

Author: Gabriel N Gatica

Publisher: CRC Press

Published: 1995-09-29

Total Pages: 196

ISBN-13: 9780582279698

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This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.

Energy Methods for Free Boundary Problems
Energy Methods for Free Boundary Problems

Author: S.N. Antontsev

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 338

ISBN-13: 1461200911

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For the past several decades, the study of free boundary problems has been a very active subject of research occurring in a variety of applied sciences. What these problems have in common is their formulation in terms of suitably posed initial and boundary value problems for nonlinear partial differential equations. Such problems arise, for example, in the mathematical treatment of the processes of heat conduction, filtration through porous media, flows of non-Newtonian fluids, boundary layers, chemical reactions, semiconductors, and so on. The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999). From the proceedings of these meetings, we can learn about the different kinds of mathematical areas that fall within the scope of free boundary problems. It is worth mentioning that the European Science Foundation supported a vast research project on free boundary problems from 1993 until 1999. The recent creation of the specialized journal Interfaces and Free Boundaries: Modeling, Analysis and Computation gives us an idea of the vitality of the subject and its present state of development. This book is a result of collaboration among the authors over the last 15 years.

Integral Expansions Related to Mehler-Fock Type Transforms
Integral Expansions Related to Mehler-Fock Type Transforms

Author: B N Mandal

Publisher: CRC Press

Published: 2020-11-26

Total Pages: 145

ISBN-13: 1000158020

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An important class of integral expansions generated by Sturm-Liouville theory involving spherical harmonics is commonly known as Mehler-Fock integral transforms. In this book, a number of integral expansions of such type have been established rigorously. As applications, integral expansions of some simple function are also obtained.

International Conference On Dynamical Systems
International Conference On Dynamical Systems

Author: F Ledrappier

Publisher: CRC Press

Published: 1997-05-15

Total Pages: 260

ISBN-13: 9780582302969

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This volume clearly reflects Ricardo Mane's legacy, his contribution to mathematics and the diversity of his mathematical intersts. It contains fifteen refereed research papers on thems including Hamiltonian and Lagrangian dynamics, growth rate of the number of geodesics on a compact manifold, one dimensional complex and real dynamics, and bifurcations and singular cycles. This book also contains two famous sets of notes by Ricardo Mane. One is the seminal paper on Lagrangian dynamics that he had prepared for the conference; the other is on the genericity of zero exponents area preserving diffeomorphisms on surfaces when non Anosov. This book will be of particular interest to researchers and graduate students in mathematics, mechanics and mathematical physics.

Integral Transforms, Reproducing Kernels and Their Applications
Integral Transforms, Reproducing Kernels and Their Applications

Author: Saburou Saitoh

Publisher: CRC Press

Published: 2020-11-26

Total Pages: 300

ISBN-13: 1000158047

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The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

Complex Analysis, Harmonic Analysis and Applications
Complex Analysis, Harmonic Analysis and Applications

Author: Robert Deville

Publisher: CRC Press

Published: 1996-04-30

Total Pages: 288

ISBN-13: 9780582286986

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Multivariable complex analysis and harmonic analysis provide efficient techniques to study many applied mathematical problems. The main objective of a conference held in Bordeaux in June 1995, in honour of Professor Roger Gay, was to connect these mathematical fields with some of their applications. This was also the guideline for the fourteen contributions collected in this volume. Besides presenting new results, each speaker made a substantial effort in order to present an up to date survey of his field of research. All the subjects presented here are very active domains of research: integral geometry (with its relation to X-ray tomography), classical harmonic analysis and orthogonal polynomials, pluricomplex potential theory (with its deep connection with polynomial approximation), complex analytic methods in the theory of partial differentiable operators with constant coefficients (in the spirit of those initiated by Leon Ehrenpreis), Calderon-Zygmund operators and nonlinear operators, oscillatory integrals and resonance, and finally multivariable residue theory in its most recent developments. It is hoped that the reader will find enough insight in the different survey papers presented here to become involved with one of these subjects or to pursue further applications.

Rings and Radicals
Rings and Radicals

Author: R. Wiegandt

Publisher: CRC Press

Published: 1996-04-18

Total Pages: 276

ISBN-13: 9780582292819

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First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Numerical Analysis 1995
Numerical Analysis 1995

Author: D.F. Griffiths

Publisher: CRC Press

Published: 1996-04-11

Total Pages: 258

ISBN-13: 9780582276338

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This volume contains invited papers presented at the 16th Dundee Biennial Conference on Numerical Analysis held at the University of Dundee, 27-30 June, 1995. The Dundee Conferences are important events in the numerical analysis calendar, and the thirteen papers published here represent accounts of recent research work by leading numerical analysts covering a wide range of fields of interest. The book is a valuable guide to the direction of current research in many areas of numerical analysis. It will be of particular interest to graduate students and research workers concerned with the theory and application of numerical methods for solving ordinary and partial differential equations, with emphasis on problems in fluid dynamics. It also contains contributions to research into methods of linear algebra, numerical methods for optimisation problems and surface fitting.