Monographs and Surveys in Pure and Applied Mathematics
Canonical Problems in Scattering and Potential Theory - Two volume set
1st Edition
By S.S. Vinogradov, P. D. Smith, E.D. Vinogradova
April 26, 2002
Although the analysis of scattering for closed bodies of simple geometric shape is well developed, structures with edges, cavities, or inclusions have seemed, until now, intractable to analytical methods. This two-volume set describes a breakthrough in analytical techniques for accurately ...
Evolution Equations in Thermoelasticity
1st Edition
By Reinhard Racke, Song Jiang
June 21, 2000
Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic ...
Variational and Potential Methods in the Theory of Bending of Plates with Transverse Shear Deformation
1st Edition
By I. Chudinovich, Christian Constanda
June 13, 2000
Elastic plates form a class of very important mechanical structures that appear in a wide range of practical applications, from building bodies to microchip production. As the sophistication of industrial designs has increased, so has the demand for greater accuracy in analysis. This in turn has ...
Iterative Dynamic Programming
1st Edition
By Rein Luus
January 27, 2000
Dynamic programming is a powerful method for solving optimization problems, but has a number of drawbacks that limit its use to solving problems of very low dimension. To overcome these limitations, author Rein Luus suggested using it in an iterative fashion. Although this method required vast ...
Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions
1st Edition
By v Mityushev, S V Rogosin
November 29, 1999
Constructive methods developed in the framework of analytic functions effectively extend the use of mathematical constructions, both within different branches of mathematics and to other disciplines. This monograph presents some constructive methods-based primarily on original techniques-for ...
Matrix Variate Distributions
1st Edition
By A K Gupta, D K Nagar
October 22, 1999
Useful in physics, economics, psychology, and other fields, random matrices play an important role in the study of multivariate statistical methods. Until now, however, most of the material on random matrices could only be found scattered in various statistical journals. Matrix Variate ...
Trends in Applications of Mathematics to Mechanics
1st Edition
Edited
By Gerard Iooss, Olivier Gues, Anne Nouri
October 22, 1999
The International Society for the Interaction of Mechanics and Mathematics has a long-standing and respected tradition of hosting symposia that provide a forum for disseminating new developments and methods. Trends in Applications of Mathematics to Mechanics represents the proceedings of the ...
Direct and Indirect Boundary Integral Equation Methods
1st Edition
By Christian Constanda
September 28, 1999
The computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of ...
The Two-Dimensional Riemann Problem in Gas Dynamics
1st Edition
By Jiequan Li, Tong. Zhang, Shuli Yang
August 21, 1998
The Riemann problem is the most fundamental problem in the entire field of non-linear hyperbolic conservation laws. Since first posed and solved in 1860, great progress has been achieved in the one-dimensional case. However, the two-dimensional case is substantially different. Although research ...
Representations on Krein Spaces [Hot] and Derivations of C*-Algebras
1st Edition
By Edward Kissin, Victor S Shulman
October 03, 1997
This text provides a comprehensive treatment of representations on indefinite metric spaces, and their applications to the theory of *-derivations of C*-algebras.The book consists of two parts. The first studies the geometry of indefinite metric spaces (Krein and (Pi)(kappa)-spaces) and describes ...
Generalized Cauchy-Riemann Systems with a Singular Point
1st Edition
By Zafar D Usmanov
April 29, 1997
A theory of generalized Cauchy-Riemann systems with polar singularities of order not less than one is presented and its application to study of infinitesimal bending of surfaces having positive curvature and an isolated flat point is given. The book contains results of investigations obtained by ...
Completeness of Root Functions of Regular Differential Operators
1st Edition
By Sasun Yakubov
December 20, 1993
The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers ...