Large-scale Numerical Optimization


Book Description

Papers from a workshop held at Cornell University, Oct. 1989, and sponsored by Cornell's Mathematical Sciences Institute. Annotation copyright Book News, Inc. Portland, Or.




Transport Phenomena in Rotating Machinery


Book Description

Completing the authoritative coverage begun in Dynamics of Rotating Machinery, this text offers 36 current chapters focusing on the areas of fluid flow, heat transfer, multiple flow, cavitation and design.




Photochemistry in Microheterogeneous Systems


Book Description

Photochemistry in Microheterogeneous Systems provides an introduction to the subject of photochemistry in microheterogeneous systems. Emphasis is on the unimolecular and bimolecular reactions of electronically excited molecules in non-homogeneous media, as well as the application of photophysical and photochemical processes and techniques to the study of various microheterogeneous systems of chemical and biological interest, from normal and inverted micelles to vesicles and liposomes, monolayers, black lipid membranes, and liquid crystalline solvents. This monograph is comprised of 10 chapters and begins with an overview of microheterogeneous systems; excited-state processes and reactions; photochemistry in microheterogeneous systems; and structural and dynamical aspects of micellar aggregates. The discussion then turns to micellar photophysics and photochemistry, with emphasis on singlet-state and triplet-state reactions. Subsequent chapters focus on photoprocesses in a variety of microheterogeneous systems such as reversed micelles, microemulsions, lipids, surfactant vesicles, and liposomes; polymers, polyelectrolytes, and ion-exchange membranes; and molecular inclusion complexes. The final chapter is devoted to the photochemistry of molecules in the adsorbed state. This text is intended for graduate students and practicing chemists.







Finite Element Methods


Book Description

""Based on the proceedings of the first conference on superconvergence held recently at the University of Jyvaskyla, Finland. Presents reviewed papers focusing on superconvergence phenomena in the finite element method. Surveys for the first time all known superconvergence techniques, including their proofs.







The Acoustic Bubble


Book Description

The wide range of important applications concerning the acoustic interactions of bubbles necessitates a book of this form which, utilising analogy, description, and formulation, gives a 'physical feel' for the phenomena, whilst also providing thoroughly for mathematically adept readers. The first half of the book introduces and draws together acoustics, cavitation nucleation and associated fluid dynamics, to examine the free oscillations of bubbles and the resulting acoustic emissions. In the second half, the behaviour and consequences of bubbles in externally-applied acoustic fields is discussed in detail, including the cavitational aspects of erosion and bioeffects. Throughout the book topics drawn from a variety of disciplines, and include: . Bubble and cavitation detection . Bioeffects of clinical ultrasound . Oceanic bubble populations . Sonochemistry . Ultrasonic degassing . Weather sensing There is an extensive bibliography.




Computer Arithmetic and Validity


Book Description

This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.