Bøger udgivet af Society for Industrial & Applied Mathematics,U.S.

This is the first comprehensive treatment of probabilistic Boolean networks (PBNs), an important model class for studying genetic regulatory networks. This book covers basic model properties, including the relationships between network structure and dynamics, steady-state analysis, and relationships to other model classes.

Presents a new approach to analysing initial-boundary value problems for integrable partial differential equations (PDEs) in two dimensions, a method that the author first introduced in 1997 and which is based on ideas of the inverse scattering transform.

Parallel processing has been an enabling technology in scientific computing for more than 20 years. This book is the first in-depth discussion of parallel computing in 10 years; it reflects the mix of topics that mathematicians, computer scientists, and computational scientists focus on to make parallel processing effective for scientific problems.

A tour of the Simulink(R) environment that shows how to develop and test a system model.

This book provides an introduction to the immersed interface method (IIM).

Presents and demonstrates the use of functions (by way of M-files) within a MATLAB computational environment to effect a variety of structural representations for the proximity information that is assumed to be available on a set of objects.

Introduces the behavioural approach to mathematical modelling, an approach that requires models to be viewed as sets of possible outcomes rather than to be a priori bound to particular representations. The authors discuss exact and approximate fitting of data by linear, bilinear, and quadratic static models and linear dynamic models.

This self-contained introduction to the behavior of several spectral characteristics of large Toeplitz band matrices is the first systematic presentation of a relatively large body of knowledge. Covering everything from classic results to the most recent developments, it is an important resource.

Brings together many important recent developments in the analysis of singular perturbation and hysteresis phenomena in an accessible and comprehensive fashion. The book begins with a basic introduction to hysteresis and singular perturbation theory, including simple examples from both physics and mathematics.

Describes the needs of industry and government and highlights mathematics that may play a role in providing solutions.

This book investigates some of the difficulties related to scientific computing, describing how these can be overcome.

Functions of a complex variable are used to solve applications in various branches of mathematics, science, and engineering. This is a book in a special category of influential classics because it is based on the authors' extensive experience in modeling complicated situations and providing analytic solutions.

Data mining is concerned with the analysis of databases large enough that various anomalies. This book describes in detail a number of these problems, as well as their sources, their consequences, their detection, and their treatment.

This book gives a unified presentation of, and mathematical framework for, modeling population growth by couple formation.

The first book to focus on neural networks in the context of nonparametric regression and classification, working within the Bayesian paradigm. Its goal is to demystify neural networks, putting them firmly in a statistical context rather than treating them as a black box.

Included in this volume are the Invited Talks given at the 5th International Congress of Industrial and Applied Mathematics.

Provides a comprehensive and in-depth treatment of one of the most important control problems: the nonlinear output regulation problem. Contains up-to-date research results and algorithms and tools for approaching and solving the output regulation problem and other related problems, such as robust stabilization of nonlinear systems.

Intended to support and promote interdisciplinary research in optical fiber communications by providing essential background in both the physical and mathematical principles of the discipline.

Topics ranging from control of the Navier-Stokes equations to nondestructive evaluation - all of which are modeled by distributed parameter systems.

This brief book on Newton's method is a user-oriented guide to algorithms and implementation. In just over 100 pages, it shows, via algorithms in pseudocode, in MATLAB, and with several examples, how one can choose an appropriate Newton-type method for a given problem, diagnose problems, and write an efficient solver or apply one written by others.

This book is divided into two distinct parts. The first part reviews the evolution of one of the most widely used numerical techniques in the industry. The development of the method, as it became more robust, is demonstrated through easy-to-understand algorithms. The second part contains industrial applications drawn from the author's experience.

In the post World War II era, the Mathematics Research Center (MRC) was one of the earliest comprehensive examples of collaboration between the government and a university. This book deals with the complex and challenging organizational and scientific issues that arose in the operation of this centre.

Provides encyclopaedic coverage of the literature in the area of ranking and selection procedures, summarizing and surveying in a unified manner a majority of more than 600 main references in the bibliography. It also deals with related problems, such as the estimation of unknown ordered parameters.

This report provides a detailed list of new application areas, and specific recommendations for future research directions in control.

A concise overview of stochastic models and mathematical techniques for solving problems that arise in broadband communication systems.

Provides an introduction to the design of the LAPACK95 package, a detailed description of its contents, reference manuals for the leading comments of the routines, and example programs.

Based on a series of lectures that are outgrowths of recent research in the area of control theory for systems governed by coupled PDEs, this book develops new mathematical tools amenable to a rigorous analysis of related control problems and the construction of viable control algorithms.

A study by two of the major contributors to the theory, of the inverse scattering transform and its application to problems of nonlinear dispersive waves that arise in fluid dynamics, plasma physics, nonlinear optics, particle physics, crystal lattice theory, nonlinear circuit theory and other areas.

A comprehensive treatment of semismooth Newton methods in function spaces: from their foundations to recent progress in the field.

This long-awaited updated edition includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy.