Mathematics : Applied

The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). In particular, the FEM is often used for interior problems whereas BEM is quite popular for exterior problems. This book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation. Numerical aspects cover the use of different types of elements, discussing the rule of using a fixed number of elements per wavelength and iterative solution techniques for the arising system of equations. Fast boundary element techniques and multi-domain BEM are discussed in this context too. Exterior problems in the context of finite elements will survey different techniques of treatment such as infinite elements, absorbing boundary conditions and perfectly matched layers. Further, the fields of frequency-range solutions by Lanczos via Pade approximation and modal solutions are covered. In the context of BEM, the so-called irregular frequencies are considered. This is followed by considering sound propagation above an impedance plane, formulation of spectral elements, a method for treatment of thin radiators and radiation modes. Both chapters conclude with sections on fluid-structure interaction, on inverse problems and on energy methods, respectively. Finally, the book discusses future challenges in the field of numerical methods in acoustics. more...

Price: $179.00

This interdisciplinary book uses the computer to take a combinatorial computational approach to homological problems. It should appeal especially to researchers and students in mathematics, computer science, non-linear dynamics and engineering. more...

Price: $79.95

Computational probability encompasses data structures and algorithms that have emerged over the past decade that allow researchers and students to focus on a new class of stochastic problems. COMPUTATIONAL PROBABILITY is the first book that examines and presents these computational methods in a systematic manner. The techniques described here address problems that require exact probability calculations, many of which have been considered intractable in the past. The first chapter introduces computational probability analysis, followed by a chapter on the Maple computer algebra system. The third chapter begins the description of APPL, the probability modeling language created by the authors. The book ends with three applications-based chapters that emphasize applications in survival analysis and stochastic simulation. The algorithmic material associated with continuous random variables is presented separately from the material for discrete random variables. Four sample algorithms, which are implemented in APPL, are presented in detail: transformations of continuous random variables, products of independent continuous random variables, sums of independent discrete random variables, and order statistics drawn from discrete populations. The APPL computational modeling language gives the field of probability a strong software resource to use for non-trivial problems and is available at no cost from the authors. APPL is currently being used in applications as wide-ranging as electric power revenue forecasting, analyzing cortical spike trains, and studying the supersonic expansion of hydrogen molecules. Requests for the software have come from fields as diverse as marketresearch, pathology, neurophysiology, statistics, engineering, psychology, physics, medicine, and chemistry. more...

Price: $99.00

The Symposium was the latest in a long-running and well-respected series in this key area of IFAC's technical interest. Its aim was to address the control aspects of those industrial, economic, social and environmental systems whose characteristics are high dimensionality, non-linearity and uncertainty, associated with a multitude of structural forms, with intense and time critical information exchange and efficient co-ordination. The Symposium covered all major aspects of large scale, complex systems including methodological aspects, technological solutions and practical applications. more...

Price: $154.00

This is an exploration of the configurational forces within the idealized continuum where fluids or other materials are in a continuous distribution of matter with no empty space, so that molecular structure is ignored, and average pressure, velocity, etc. are considered. more...

Price: $79.95