Kategoria BISAC: Science >> Physics - Mathematical & Computational

A comprehensive study of homogenized problems, focusing on the construction of nonstandard models

Details a method for modeling processes in microinhomogeneous media (radiophysics, filtration theory, rheology, elasticity theory, and other domains)

Complete proofs of all main results, numerous examples

Classroom text or comprehensive reference for graduate students, applied mathematicians, physicists, and engineers

Inverse scattering theory is an important area of applied mathematics due to its central role in such areas as medical imaging, nondestructive testing and geophysical exploration. Until recently all existing algorithms for solving inverse scattering problems were based on using either a weak scattering assumption or on the use of nonlinear optimization techniques. The limitations of these methods have led in recent years to an alternative approach to the inverse scattering problem which avoids the incorrect model assumptions inherent in the use of weak scattering approximations as well as...

"Practical Aspects of Computational Chemistry" presents contributions on a range of aspects of Computational Chemistry applied to a variety of research fields. The chapters focus on recent theoretical developments which have been used to investigate structures and properties of large systems with minimal computational resources. Studies include those in the gas phase, various solvents, various aspects of computational multiscale modeling, Monte Carlo simulations, chirality, the multiple minima problem for protein folding, the nature of binding in different species and dihydrogen bonds,...

This book - an outgrowth of a topical summer school - sets out to introduce non-specialists from physics and engineering to the basic mathematical concepts of approximation and Fourier theory. After a general introduction, Part II of this volume contains basic material on the complex and harmonic analysis underlying the further developments presented. Part III deals with the essentials of approximation theory while Part IV completes the foundations by a tour of probability theory. Part V reviews some major applications in signal and control theory. In Part VI mathematical aspects of...

Energy exchange is a major foundation of the dynamics of physical systems, and, hence, in the study of complex multi-domain systems, methodologies that explicitly describe the topology of energy exchanges are instrumental in structuring the modeling and the computation of the system's dynamics and its control.

This book is the outcome of the European Project "Geoplex" (FP5 IST-2001-34166) that studied and extended such system modeling and control methodologies. This unique book starts from the basic concept of port-based modeling, and extends it to port-Hamiltonian systems. This...

The aim of the present book is to show, in a broad and yet deep way, the state of the art in computational science and engineering. Examples of topics addressed are: fast and accurate numerical algorithms, model-order reduction, grid computing, immersed-boundary methods, and specific computational methods for simulating a wide variety of challenging problems, problems such as: fluid-structure interaction, turbulent flames, bone-fracture healing, micro-electro-mechanical systems, failure of composite materials, storm surges, particulate flows, and so on. The main benefit offered to readers...

This volume in the series Lecture Notes in Computational Science and Engineering presents a collection of papers presented at the International Workshop on FSI, held in October 2005 in Hohenwart and organized by DFG's Research Unit 493 "FSI: Modeling, Simulation, and Optimization." The papers address partitioned and monolithic coupling approaches, methodical issues and applications, and discuss FSI from the mathematical, informatics, and engineering points of view.

Das Buch ist fur Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. Fur jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enthalt der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten...

A large number of physical phenomena are modeled by nonlinear partial

differential equations, subject to appropriate initial/ boundary conditions; these

equations, in general, do not admit exact solution. The present monograph gives

constructive mathematical techniques which bring out large time behavior of

solutions of these model equations. These approaches, in conjunction with modern

computational methods, help solve physical problems in a satisfactory manner. The

asymptotic methods dealt with here include self-similarity, balancing argument,...

Dieses Lehrbuch gibt eine Einfuhrung in das Losen von Differentialgleichungen (Dgl). Behandelt werden sowohl gewohnliche als auch partielle Dgl. Die mathematische Theorie wird fur exakte und numerische Losungsmethoden soweit dargestellt, wie es fur Anwender erforderlich ist. Auf Beweise wird verzichtet, dafur werden notwendige Formeln, Satze und Methoden anhand von Beispielen erlautert. Ausserdem wird die Problematik von Differenzengleichungen und Integralgleichungen skizziert.

Ein zweiter Schwerpunkt des Buches liegt auf der Anwendung der Computeralgebra- und Mathematiksysteme...

What are the roots of the present economic crisis? The book shows that the factors commonly mentioned (e. g. subprime loans, fall in housing prices) have occurred in the past and therefore cannot account for the severity of the present crisis. There must be "something else." The analysis shows that there was a "phase transition" in the United States around 1975 which brought the following changes: - The stagnation of real wages over the past 30 years and a parallel rise in indebtment levels. - The abrupt fall in unionization rates and in the number of strikes. - The development of tax...