Bøger i Chapman & Hall/CRC Research Notes in Mathematics Series serien

This volume represents the proceedings of the summer course on Mathematical Topics in Fluid Mechanics, held in Lisbon, in September 1991. Amongst the topics covered are mathematical problems arising in differential models for viscoelastic fluids and shock waves in resonant dispersion media.

Presents many recent results and methods which are of fundamental importance in theoretical fluid mechanics, particularly in the field of Navier-Stokes equations. It should be of use to researchers and graduate students.

This volume collects the proceedings of conferences given at the University of Metz during the 1992 "Metz Days". Various important topics in partial differential equations are examined: phase transition, evolution problems, bifurcation, stability and parabolic problems.

This text establishes a number of integral expansions of Mehler-Fock type and also obtains as applications some simple functions. The book is designed to motivate researchers in applied mathematics to initiate work on appropriate physical problems in contiuum mechanics and wave diffraction.

These conference proceedings are concerned with the solution of mathematical models from various physical domains, by means of integral methods in conjunction with various approximation schemes.

This text deals with conjugate gradient type methods for ill-posed problems.

The purpose of this monograph is to study the common zeroes of families of polynomials in several variables which are related to higher dimensional quadrature. It aims to introduce a new approach and use it to conduct a systematic study.

This text is based on graduate courses given at Cornell University between 1985 and 1992. Its aim is to introduce the reader to theoretical considerations involved in the study of multigrid methods, always keeping the practical applicability in mind.

This text includes coverage of asymptotic expansions taking into account the cases when the number of summands comparable with the sum is less than or equal to two and asymptotic expansions of the probabilities of large deviations and non-uniform estimates of remainders in CLT.

This volume is essentially a self-contained presentation of the theory of reproducing kernels in connection with integral transforms in the framework of Hilbert spaces. It is a general and fundamental concept and a potentially powerful theory combined with the integral transforms.

Explores the structural aspects of complex Lie groups, beginning with general concepts then moving to the theory of representative functions of Lie groups and the extension problem of representations.

First of three volumes containing the proceedings of the International Colloquium on Free Boundary Problems: Theory and Applications, held in Canada in June 1990. Topics covered in this volume range from combustion in porous media to controlled release of drugs by osmosis.

Offers a comprehensive, mathematically rigorous treatment of many-body physics. This book develops the mathematical tools for describing quantum many-body systems and applies them to the many-electron system.

Presents recent advances in the solution of partial differential equations in porous media, with applications. Starting from the fundamental solution for flow through porous media, the text provides information on solving for pressure distributions for a wide range of initial-boundary problems.

This text contains seven main sections covering topics such as: random Dubins-Freedman related distribution functions, random conservative cascades; random self-similar sets and measures; and random geometrically graph directed self-similar sets and measures.

The aim of this work is to apply variational methods, and critical point theory on infinite dimensional manifolds, to some problems in Lorentzian geometry which have a variational nature. In particular Ljusternik-Schnirelmann critical point theory and Morse theory are exploited.

Comprises the Proceedings from the 1998 International Mathematical Congress. This work discusses applications including fluid dynamics, semiconductor technology, image analysis, motion analysis and optimal control.

Introduces a Morse (index) theory that is easier to use, less technical, and flexible than theories for strongly indefinite functionals. This book presents a self-contained treatment with full proofs of the major results and with applications of the theory to Hamiltonian systems and other areas of research.

Addresses several pivotal problems in spectral theory and nonlinear functional analysis in connection with the analysis of the structure set of zeroes of a general class of nonlinear operators.

Suitable for numerical analysts, this text contains the proceedings of the 18th Dundee Biennial Conference on Numerical Analysis. It covers things ranging from partial differential equations to linear algebra and approximation theory.

Offers an account of the graph dynamics system SER (Scheduling by Edge Reversal). This book discusses the main applications and properties of SER, provides data from statistics and correlations computed over several graph classes, and gives an overview of the algorithmic aspects of the construction of the catalogue.

Presents the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. This book begins by establishing a practical basis in Lie algebra, including discussions of structure Lie, loop, and Virasor groups, quantum tori and Kac-Moody algebras, and gradation.

Presents a range of topics on the non-geometrical aspects of design theory. This work contains papers that cover developments in areas such as difference sets, cryptography, and optimal linear codes. It features discussions of design theory and the application of the theory to statistical design, codes and cryptography.

A compilation of material presented at the Hyperfunctions, Operator Theory and Dynamical Systems workshop-symposium at the International Solvay Institutes for Physics and Chemistry, January, 1997. It covers advanced methods of generalized functions, operator theory, singular problems with distribution and hyperfunction data and harmonic analysis.

This text contains selected plenary lectures and invited talks and provides a view of the research being carried out in China in the area of differential equations.

This volume constitutes the proceedings of a mathematical conference on functional analysis and its applications. Topics covered include: topological vector spaces; Banach algebras; meromorphic functions; partial differential equations; and variational equations and inequalities.

This text is devoted to the study of variational problems which can be formulated as the minimization of some possibly nonconvex and noncoercive functionals on a possibly nonconvex set. Additional results and possible prospects concerning the field of nonvariational problems are also considered.

This volume consists of four contributions, based on a series of lectures delivered at the Fourth Winter School in Mathematical Theory and Fluid Mechanics in 1995. Various topics in the field of theoretical fluid mechanics are covered.

In order to use the ideas from hyperbolic sets in modelling, it is necessary to reconsider the definition of hyperbolicity for the case of noninvertible mappings. This text provides information on current results and theorems on hyperbolicity, shadowing and other topics.

This text presents a complete treatment of the connection between topological generalized quadrangles and topological circle planes. This connection is used to solve a topological version of the problem of Appolonius.