In structure mechanics analysis, finite element methods are now well estab- lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap- proximating mathematically wellposed problems, with various types of boundary conditions.
Density Functional Theory is a rapidly developing branch of many-particle physics that has found applications in atomic, molecular, solid-state and nuclear physics.
"e;Dissipative structures"e; is a concept which has recently been used in physics to discuss the formation of structures organized in space and/or time at the expense of the energy flowing into the system from the outside.
Because magnetically confined plasmas are generally not found in a state of thermodynamic equilibrium, they have been studied extensively with methods of applied kinetic theory.
Correlation Effects in Low-Dimensional Electron Systems describes recent developments in theoretical condensed-matter physics, emphasizing exact solutions in one dimension including conformal-field theoretical approaches, the application of quantum groups, and numerical diagonalization techniques.
Electromagnetic Wave Propagation in Turbulence is devoted to a method for obtaining analytical solutions to problems of electromagnetic wave propagation in turbulence.
At the present moment, after the success of the renormalization group in providing a conceptual framework for studying second-order phase tran- sitions, we have a nearly satisfactory understanding of the statistical me- chanics of classical systems with a non-random Hamiltonian.
The contribution of computer simulation studies to our understanding of proper- ties of a wide range of condensed-matter systems is now well established.
Interacting many-body systems are the main subjects ofresearch in theoretical condensed matter physics, and theyare the source of both the interest and the difficulty inthis field.
For a system consisting of a random medium with roughboundaries, the governing (Bethe-Salpeter) equation forboundary-value transport problems can be written in a formsuch that the medium and the boundaries are treatedon anequal footing.
"e;Evolution of Dynamical Structures in Complex Systems"e; is dedicated to the founder of synergetics, Hermann Haken, on the occasion of his 65th birthday.
In the past three decades there has been enormous progressin identifying the essential role that nonlinearity playsin physical systems, including supporting soliton-likesolutions and self-trapped sxcitations such as polarons.
It was mainly during the last two decades that the theory of homogenization or averaging of partial differential equations took shape as a distinct mathe- matical discipline.
In 1979 I gave graduate courses at the University of Zurich and lectured in the 'Troisieme Cycle de la Suisse Romande' (a consortium offour uni- versities in the french-speaking part of Switzerland), and these lectures were the basis of the 'Springer Lecture Notes in Physics', Volume 150, published in 1981.
This book deals with one of the fundamental problems of nonequilibrium statistical mechanics: the explanation of large-scale dynamics (evolution differential equations) from models of a very large number of interacting particles.
Any description of the workings of nature by means of measurements and ob- servations is beset with the problem of how to cope with an immense amount of information.
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory.
For four decades, information theory has been viewed almost exclusively as a theory based upon the Shannon measure of uncertainty and information, usually referred to as Shannon entropy.
The concept of this book was developed during the Winter Seminar held in the Austrian mountains at the Alpengasthof Zeinisjoch, Tirol-Vorarlberg, from February 27 to March 3, 1988.
The 39 papers in this collection are devoted mostly to the exact mathematical analysis of problems in continuum mechanics, but also to problems of a purely mathematical nature mainly connected to partial differential equations from continuum physics.
From the preface: Fluid dynamics is an excellent example of how recent advances in computational tools and techniques permit the rapid advance of basic and applied science.
This volume is the proceedings of the Hiroshima Symposium on Elementary Excitations in Quantum Fluids, which was held on August 17 and 18, 1987, in Hiroshima, Japan, and was attended by thirty-two scientists from seven countries.
Non-linear behaviour of water waves has recently drawn much attention of scientists and engineers in the fields of oceanography, applied mathematics, coastal engineering, ocean engineering, naval architecture, and others.
The normal business of physicists may be schematically thought of as predic- ting the motions of particles on the basis of known forces, or the propagation of radiation on the basis of a known constitution of matter.
