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This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
It has now been almost ten years since our first book on scattering theory ap peared [32]. At that time we claimed that "in recent years the development of integral equation methods for the direct scattering problem seems to be nearing completion, whereas the use of such an approach to study the inverse scattering problem has progressed to an extent that a 'state of the art' survey appears highly desirable". Since we wrote these words, the inverse scattering problem for acoustic and electromagnetic waves has grown from being a few theoreti cal considerations with limited numerical implementations to a weH developed mathematical theory with tested numerical algorithms. This maturing of the fi...
First series, books 1-43, includes "Notes on U.S. reports" by Walter Malins Rose.
This is the first book to present a detailed discussion of both classical and recent results on the popular CahnHilliard equation and some of its variants. The focus is on mathematical analysis of CahnHilliard models, with an emphasis on thermodynamically relevant logarithmic nonlinear terms, for which several questions are still open. Initially proposed in view of applications to materials science, the CahnHilliard equation is now applied in many other areas, including image processing, biology, ecology, astronomy, and chemistry. In particular, the author addresses applications to image inpainting and tumor growth. Many chapters include open problems and directions for future research. The Cahn-Hilliard Equation: Recent Advances and Applications is intended for graduate students and researchers in applied mathematics, especially those interested in phase separation models and their generalizations and applications to other fields. Materials scientists also will find this text of interest.
Predicting the future is a difficult task but, as with the weather, it is possible with good models. But how does one predict the far future before the near future is known? Time parallel time integration, also known as PinT (Parallel-in-Time) methods, aims to predict the near and far future simultaneously. In this self-contained book, the first on the topic, readers will find a comprehensive and up-to-date description of methods and techniques that have been developed to do just this. The authors describe the four main classes of PinT methods: shooting-type methods, waveform relaxation methods, time parallel multigrid methods, and direct time parallel methods. In addition, they provide historical background for each of the method classes, complete convergence analyses for the most representative variants of the methods in each class, and illustrations and runnable MATLAB code. An ideal introduction to this exciting and very active research field, Time Parallel Time Integration can be used for independent study or for a graduate course.
First series, books 1-43, includes "Notes on U.S. reports" by Walter Malins Rose.
Written in easy-to-understand language, this important text provides a systematic and commonsense approach to developing instruments for data collection and analysis. This book can be used by both those who are developing instruments for the first time and those who want to hone their skills, including students, agency personnel, program managers, and researchers. This book provides a thorough presentation of instrument construction, from conception to development and pre-testing of items, formatting the instrument, administration, and, finally, data management and presentation of the findings. Throughout the book, the authors emphasize how to create an instrument that will produce trustworthy and accurate data. To that end they have included guidelines for reviewing and revising the questionnaire to enhance validity and reliability. They also show how to work effectively with stakeholders such as instruments designers, decision-makers, agency personnel, clients, and raters or respondents.
This is the history of the Colton Fire Department from 1889 to 2011. Telling stories of the past generations and following the careers of the past volunteer and full time Chiefs of the Colton Fire Department. Engineer Dennis Bickers that retired in 2009 had been taking pictures and video since his hire date in 1982. He eventually took the lead as the Historian of the department and promised to tell Colton's story.