Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only...

Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a...

This volume collects the refereed contributions based on the presentations made at the Seventh Workshop on Advanced Mathematical and Computational Tools in Metrology, a forum for metrologists, mathematicians and software engineers that will encourage a more effective synthesis of skills, capabilities and resources. The volume contains articles by world renowned metrologists and mathematicians involved in measurement science and, together with the six previous volumes in this series, constitutes an authoritative source of the mathematical, statistical and software tools necessary in modern...

Provides students with tools to understand the fields of neurobiological modeling, cluster analysis of proteins and genes. This book contains results for researchers such as description and applications of Kohonen neural networks to gene classification and protein classification with back propagation neutral networks.

Explores three different areas of science: the micromechanics and nanomechanics of composite materials; wavelet analysis as applied to physical problems; and the propagation of solitary wave in composite materials, nonlinear waves.

A guide to intertwined developments of control theory and nonsmooth analysis.

Fuzzy sets and fuzzy logic are powerful mathematical tools for modelling and controlling uncertain systems in industry, humanity and nature; they are facilitators for approximate reasoning in decision making in the absence of complete and precise information. Their role is significant when applied to complex phenomena not easily described by traditional mathematics. The text provides an introductory course (with examples and problems), which brings in a systematic way fuzzy sets and fuzzy logic into the educational university and college system. It is designed to serve as a basic text for...

This volume collects the articles presented at the third international conference on "The Navier-Stokes Equations: Theory and Numerical Methods", held in Oberwolfach, Germany. The articles cover such topics as general boundary conditions, flow exterior to

This work presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters, each written by an applied mathematician who has been active in the field, and whose scientific contributions are well recognized by the scientific community.

Presents applications to several fluid dynamics problems both in bounded and unbounded domains in the framework of the discrete velocity models of kinetic theory. The proposition of new models for dense gases, gases with multi-components and gases with che