The aim of this book is to give a self-contained introduction to the mathe- matical analysis and physical explanations of some basic nonlinear wave phe- nomena.
A system may be studied by distinguishing its major components, characterizing the changes in them by differential equations that form their simplified representa- tions, and then interconnecting these representations to obtain a model of the original system.
On the occasion of the 150th anniversary of Sophus Lie, an International Work- shop "e;Modern Group Analysis: advanced analytical and computational methods in mathematical physics"e; has been organized in Acireale (Catania, Sicily, October 27- 31, 1992).
In many ways the last decade has witnessed a surge of interest in the interplay between theoretical physics and some traditional areas of pure mathematics.
This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities.
This volume contains the proceedings of the NATO Advanced Research Workshop on "e;Asymptotic-induced Numerical Methods for Partial Differ- ential Equations, Critical Parameters, and Domain Decomposition,"e; held at Beaune (France), May 25-28, 1992.
This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations.
In the past few years there has been a fruitful exchange of expertise on the subject of partial differential equations (PDEs) between mathematicians from the People's Republic of China and the rest of the world.
Two central problems in the pure theory of economic growth are analysed in this monograph: 1) the dynamic laws governing the economic growth processes, 2) the kinematic and geometric properties of the set of solutions to the dynamic systems.
These are the proceedings of the international conference on "e;Nonlinear numerical methods and Rational approximation II"e; organised by Annie Cuyt at the University of Antwerp (Belgium), 05-11 September 1993.
This book collects contributions to the conference"e; Dynamics, Bifurcation and Symmetry, new trends and new tools"e;, which was held at the Institut d'Etudes Sci- entifiques de Cargese (France), September 3-9, 1993.
This work is a revised and enlarged edition of a book with the same title published in Romanian by the Publishing House of the Romanian Academy in 1989.
In the present book the reader will find a review of methods for constructing a certain class of asymptotic solutions, which we call self-stabilizing solutions.
The papers collected in this volume are contributions to the 33rd session of the Seminaire de Mathematiques Superieures (SMS) on "e;Topological Methods in Differential Equations and Inclusions"e;.
Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena.
Practical Asymptotics is an effective tool for reducing the complexity of large-scale applied-mathematical models arising in engineering, physics, chemistry, and industry, without compromising their accuracy.
When we first heard in the spring of 2000 that the Seminaire de matMmatiques superieures (SMS) was interested in devoting its session of the summer of 200l-its 40th-to scientific computing the idea of taking on the organizational work seemed to us somewhat remote.
A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2, 1983.
