This second edition, like the first, attempts to arrive as simply as possible at some central problems in the Navier Stokes equations in the following areas: existence, uniqueness, and regularity of solutions in space dimensions two and three; large time behaviour of solutions and attractors; and numerical analysis of the Navier Stokes equations. ......
Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAEs) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of ......
The method of least squares was discovered by Gauss in 1795. It has since become the principal tool for reducing the influence of errors when fitting models to given observations. Today, applications of least squares arise in a great number of scientific areas, such as statistics, geodetics, signal processing, and control. In the last 20 years ......
This text presents the central ideas of modern numerical analysis. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching, he wrote down each lecture immediately after it was given. The result reflects the wit, insight and verbal craftmanship which are landmarks of ......
Provides an introduction to computer benchmarking. Hockney includes material concerned with the definition of performance parameters and metrics and defines a set of suitable metrics with which to measure performance and units with which to express them. He also presents new ideas resulting from the application of dimensional analysis to the field ......
This book has become the standard for a complete, state-of-the-art description of the methods for unconstrained optimization and systems of nonlinear equations. Originally published in 1983, it provides information needed to understand both the theory and the practice of these methods and provides pseudocode for the problems. The algorithms ......
This self-contained volume studies the basic equations of kinetic theory in all of space. It contains recent treatments of initial-value problems for the major kinetic equations, including the Boltzmann equation (from rarefied gas dynamics) and the Vlasov-Poisson/Vlasov-Maxwell systems (from plasma physics). This book has the advantage of treating ......
This monograph presents a survey of mathematical models useful in solving reliability problems. It includes a detailed discussion of life distributions corresponding to wearout and their use in determining maintenance policies, and covers important topics such as the theory of increasing (decreasing) failure rate distributions, optimum maintenance ......
This text covers numerical analysis, applied mathematics, and solution procedures for differential equations. It should be of help to nonmathematicians interested in applying these methods and techniques. The problems are intended as links between theory and application, and provide a foundation. Originally published in 1961, this "Classics" ......
