This book details the development of techniques and ideas from the radial basis function. It begins with a mathematical description of the basic concept of radial function method with chapters progressively delving into the derivation and construction of radial basis functions for large-scale wave propagation problems including singularity problems, high-frequency wave problems and large-scale computation problems. This reference, written by experts in numerical analysis, demonstrates how the functions arise naturally in mathematical analyses of structures responding to external loads. Readers are also equipped with mathematical knowledge about the radial basis function for understanding key algorithms required for practical solutions. Key features: - Introduces basic concepts of radial basis function methods - Provides detailed derivations of several radial basis functions - Explains complex problems using simple language - Contains a wide range of numerical examples to demonstrate applications of relevant functions - Combines the radial basis function with other known numerical methods (boundary element methods and differential equations). - Includes references and appropriate chapter appendices - Includes MATLAB codes for origin intensity factors and nearly singular factors for radial basis calculations The book is designed to make information about radial basis function methods more accessible to research scientists, professional engineers and postgraduate students, with a specific focus on large-scale wave propagation problems.

The book attempts to explain the main features of celestial mechanics using a new and unique technique. Its emphasis, in terms of applications, is on the Solar System, including its most peculiar properties (such as chaos, resonances, relativistic corrections, etc.). All results are derived in a reasonably transparent manner, so that anyone with a PC and a rudimentary knowledge of mathematics can readily verify them, and even extend them to explore new situations, if desired. The more mathematically oriented reader may also appreciate seeing quaternions as the basic algebraic tool of the new approach. Practicing astronomers may also be happy to learn that the method has eliminated the problem of zero divisors, and does not require using the rather controversial averaging principle. The book is intended for astronomers and mathematicians interested in mechanical motion.

This well organized reference book covers the newest and most important practically applicable results in thin film-based semiconductor (A2B6-A4B6 and chalcogenide) sensors, heterojunction-based active elements and other devices. This book is written for researchers, material scientists and advanced students who wish to increase their familiarity with different topics of novel semiconductor material science related to production of thin film-based sensors and active elements for micro- and nanoelectronics. It is also a tool and resource for professionals engaged in novel semiconductor materials technologies. Both basic and applied aspects of semiconductor materials science and technology related to A2B6-A4B6 and chalcogenide compounds, in particular, to ZnCdHgTe semiconductor, are presented in this book. The book features the most important original results in studies and practical applications of A2B6-A4B6 and chalcogenide semiconductor compounds for sensory and micro(nano)electronics. Many important original experimental data as well as results of numerical simulations are included.

Radiation Processes In Crystal Solid Solutions is a monograph explaining processes occurring in two classes of crystal solids (metal alloys and doped alkali halides) under irradiation by various types of radiation (alpha, beta, gamma, X-radiations, ions). While metal alloys may differ in high radiation stability, solid solutions based on alkali halides are very radiation-sensitive materials. Radiation defect production mechanisms, intrinsic and extrinsic radiation defects, a role of complexes an impurity-radiation defect which explain distinction in radiating stability of the specified classes of solid solutions are discussed in this e-book. To describe radiation induced phase transformations, two approaches are highlighted: kinetic and thermodynamic. This e-book also includes research on the effect of small radiation doses in a structurally solid phase state of a solution along with a semi-quantitative estimation of radiation effects with respect to temperature changes. This e-book should be a useful reference for advanced readers interested in the physics of radiation and solid state physics.