Bøger i Applied Mathematical Sciences serien

Transient Chaos provides an overview of the field, based on a summation of nearly three decades of intensive research. Written by experts in the field, this volume shows why transient chaos is important to the nonlinear-science community, as well as other scientific disciplines.

Ludwig Prandtl has been called the father of modern fluid mechanics, and this updated and extended edition of his classic text on the field is based on the 12th German edition with additional material included.

'Exact' and 'heuristic' techniques are enhancing our ability to overcome intractable obstacles in the world of optimization. Using the linear ordering problem as an illustration, this text provides a toolkit for tackling a variety of combinatorial dilemmas.

Compactly supported smooth piecewise polynomial functions provide an efficient tool for the approximation of curves and surfaces and other smooth functions of one and several arguments.

This book covers the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves.

This monograph presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. The semi-discretization method is presented in a simple and clear way with examples.

This book is devoted to an account of theories of heat conduction where the temperature may travel as a wave with a finite speed. It surveys many of the theories which have been proposed as candidates to describe thermal motion as a wave.

This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ ential equations. The main goal is to describe perturbation techniques, discuss their ad vantages and limitations and give some examples.

The present lectures intend to provide an introduction to the spectral analysis of self-adjoint operators within the framework of Hilbert space theory. Next, simple differential operators are treated as operators in Hilbert space, and the final chapter deals with the perturbation of discrete and continuous spectra.

This book offers an analytical rather than measure-theoretical approach to the derivation of the partial differential equations of nonlinear filtering theory.

This book bridges a gap between a rigorous mathematical approach to variational problems and the practical use of algorithms of structural optimization in engineering applications. The foundations of structural optimization are presented in sufficiently simple form as to make them available for practical use.

Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

In this book the author presents the dynamical systems in infinite dimension, especially those generated by dissipative partial differential equations.

This marks the 100th volume to appear in the Applied Mathematical Sci ences series. One year prior to its appearance, the then mathematics editor of Springer-Verlag, Klaus Peters, organized a meeting to look into the possibility of starting a series slanted toward applications.

Our text, based on the old notes and experience gained in many courses, seminars, and conferences, both in Italy and abroad, aims to give a simple and rapid introduction to the various themes, problems, and methods of the theory of ordinary differential equations.

The theoretical part of the work is developed in Chapters 2-14, while in Chapters 15-19 we apply the theory to several remarkable partial differ ential equations.

Presents the description of the state of the modern iterative techniques together with systematic analysis. This book discusses classical methods, semi-iterative techniques, incomplete decompositions, conjugate gradient methods, multigrid methods and domain decomposition techniques.

Of interest to everybody working on perturbation theory in differential equations, this book requires only a standard mathematical background in engineering and does not require reference to the special literature. systems of ordinary differential equations with small parameters; reconstruction and equations in partial derivatives.

This book introduces mathematical techniques needed to analyse PDEs coming from incompressible fluid mechanics, including Stokes and Navier-Stokes equations and more specific models, and offering methods applicable to a range of domains in nonlinear analysis.

This book summarizes effective and general approaches and frameworks in the investigation of bifurcation phenomena for functional differential equations (FDEs). It provides all the tools from bifurcation theory and contains examples and applications.

Brownian dynamics play a key role in molecular and cellular biophysics. This book is aimed at applied mathematicians, physicists, theoretical chemists and physiologists interested in the modeling, analysis and simulation of micro devices of microbiology.

It had its origin in a project initiated jointly with the IBM Cambridge Scien tific Center, particularly with Dr. Rhett Tsao, then of that Center. Professors Donald McClure and Richard Vitale of the Division of Applied Mathematics at Brown University contributed greatly to the project and taught courses in its spirit.

This book deals with optimality conditions, algorithms, and discretization tech niques for nonlinear programming, semi-infinite optimization, and optimal con trol problems.

Chapter 9 is a new chapter on perturbed systems. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.

In the summer of 1941 Brown University undertook a Program of Advanced Instruction and Research in Mechanics. Indeed in certain instances only in the last few years has the -field caught up with the ideas developed in the course of these lectures.

Focusing on large-amplitude patterns far from equilibrium in biologically relevant models, this book summarizes and expands on fifteen years of results in the mathematical analysis of patterns which are encountered in biological systems.

This book, now in its third edition, is an excellent introductory text for students, scientists and engineers who want to learn the basic theory of linear integral equations and their numerical solution. Features problems at the end of each chapter.

This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations.