Browse Results What Format Should I Choose?

Showing 1 through 1 of 1 results

Numerical Methods for Stochastic Computations: A Spectral Method Approach

by Dongbin Xiu

The first graduate-level textbook to focus on fundamental aspects of numerical methods for stochastic computations, this book describes the class of numerical methods based on generalized polynomial chaos (gPC). These fast, efficient, and accurate methods are an extension of the classical spectral methods of high-dimensional random spaces. Designed to simulate complex systems subject to random inputs, these methods are widely used in many areas of computer science and engineering. The book introduces polynomial approximation theory and probability theory; describes the basic theory of gPC methods through numerical examples and rigorous development; details the procedure for converting stochastic equations into deterministic ones; using both the Galerkin and collocation approaches; and discusses the distinct differences and challenges arising from high-dimensional problems. The last section is devoted to the application of gPC methods to critical areas such as inverse problems and data assimilation. Ideal for use by graduate students and researchers both in the classroom and for self-study, Numerical Methods for Stochastic Computations provides the required tools for in-depth research related to stochastic computations.The first graduate-level textbook to focus on the fundamentals of numerical methods for stochastic computations Ideal introduction for graduate courses or self-study Fast, efficient, and accurate numerical methods Polynomial approximation theory and probability theory included Basic gPC methods illustrated through examples

Showing 1 through 1 of 1 results


Select your format based upon: 1) how you want to read your book, and 2) compatibility with your reading tool. To learn more about using Bookshare with your device, visit the "Using Bookshare" page in the Help Center.

Here is an overview of the specialized formats that Bookshare offers its members with links that go to the Help Center for more information.

  • Bookshare Web Reader - a customized reading tool for Bookshare members offering all the features of DAISY with a single click of the "Read Now" link.
  • DAISY (Digital Accessible Information System) - a digital book file format. DAISY books from Bookshare are DAISY 3.0 text files that work with just about every type of access technology that reads text. Books that contain images will have the download option of ‘DAISY Text with Images’.
  • BRF (Braille Refreshable Format) - digital Braille for use with refreshable Braille devices and Braille embossers.
  • MP3 (Mpeg audio layer 3) - Provides audio only with no text. These books are created with a text-to-speech engine and spoken by Kendra, a high quality synthetic voice from Ivona. Any device that supports MP3 playback is compatible.
  • DAISY Audio - Similar to the Daisy 3.0 option above; however, this option uses MP3 files created with our text-to-speech engine that utilizes Ivona's Kendra voice. This format will work with Daisy Audio compatible players such as Victor Reader Stream and Read2Go.