Spectral Algorithms

Author : Ravindran Kannan,Santosh Vempala
Publisher : Now Publishers Inc
Page : 153 pages
File Size : 42,7 Mb
Release : 2009
Category : Computers
ISBN : 9781601982742

Get Book

Spectral Algorithms by Ravindran Kannan,Santosh Vempala Pdf

Spectral methods refer to the use of eigenvalues, eigenvectors, singular values and singular vectors. They are widely used in Engineering, Applied Mathematics and Statistics. More recently, spectral methods have found numerous applications in Computer Science to "discrete" as well as "continuous" problems. Spectral Algorithms describes modern applications of spectral methods, and novel algorithms for estimating spectral parameters. The first part of the book presents applications of spectral methods to problems from a variety of topics including combinatorial optimization, learning and clustering. The second part of the book is motivated by efficiency considerations. A feature of many modern applications is the massive amount of input data. While sophisticated algorithms for matrix computations have been developed over a century, a more recent development is algorithms based on "sampling on the fly" from massive matrices. Good estimates of singular values and low rank approximations of the whole matrix can be provably derived from a sample. The main emphasis in the second part of the book is to present these sampling methods with rigorous error bounds. It also presents recent extensions of spectral methods from matrices to tensors and their applications to some combinatorial optimization problems.

Author : Jie Shen,Tao Tang,Li-Lian Wang
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 46,8 Mb
Release : 2011-08-25
Category : Mathematics
ISBN : 9783540710417

Get Book

Spectral Methods by Jie Shen,Tao Tang,Li-Lian Wang Pdf

Along with finite differences and finite elements, spectral methods are one of the three main methodologies for solving partial differential equations on computers. This book provides a detailed presentation of basic spectral algorithms, as well as a systematical presentation of basic convergence theory and error analysis for spectral methods. Readers of this book will be exposed to a unified framework for designing and analyzing spectral algorithms for a variety of problems, including in particular high-order differential equations and problems in unbounded domains. The book contains a large number of figures which are designed to illustrate various concepts stressed in the book. A set of basic matlab codes has been made available online to help the readers to develop their own spectral codes for their specific applications.

Author : Claudio Canuto,M. Yousuff Hussaini,Alfio Quarteroni,Thomas A. Zang
Publisher : Springer Science & Business Media
Page : 581 pages
File Size : 47,9 Mb
Release : 2007-09-23
Category : Science
ISBN : 9783540307266

Get Book

Spectral Methods by Claudio Canuto,M. Yousuff Hussaini,Alfio Quarteroni,Thomas A. Zang Pdf

Since the publication of "Spectral Methods in Fluid Dynamics" 1988, spectral methods have become firmly established as a mainstream tool for scientific and engineering computation. The authors of that book have incorporated into this new edition the many improvements in the algorithms and the theory of spectral methods that have been made since then. This latest book retains the tight integration between the theoretical and practical aspects of spectral methods, and the chapters are enhanced with material on the Galerkin with numerical integration version of spectral methods. The discussion of direct and iterative solution methods is also greatly expanded.

Author : John P. Boyd
Publisher : Courier Corporation
Page : 690 pages
File Size : 41,7 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780486141923

Get Book

Chebyshev and Fourier Spectral Methods by John P. Boyd Pdf

Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, methods for unbounded intervals, spherical and cylindrical geometry, and much more. 7 Appendices. Glossary. Bibliography. Index. Over 160 text figures.

Author : Claudio Canuto,M.Yousuff Hussaini,Alfio Quarteroni,Thomas A., Jr. Zang
Publisher : Springer Science & Business Media
Page : 582 pages
File Size : 46,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642841088

Get Book

Spectral Methods in Fluid Dynamics by Claudio Canuto,M.Yousuff Hussaini,Alfio Quarteroni,Thomas A., Jr. Zang Pdf

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.

Author : Hatem Alkadhi,André Euler,David Maintz,Dushyant Sahani
Publisher : Springer Nature
Page : 375 pages
File Size : 48,9 Mb
Release : 2022-05-02
Category : Medical
ISBN : 9783030962852

Get Book

Spectral Imaging by Hatem Alkadhi,André Euler,David Maintz,Dushyant Sahani Pdf

This book, edited by leading experts in radiology, offers a state-of-the-art overview of the specifics and the added value of dual-energy, multi-energy, and spectral computed tomography (CT). Latest advances and upcoming innovations such as photon-counting detector CT are covered by renown experts in the field. The entire spectrum of clinical applications of dual-energy and spectral CT throughout the body is covered. Book chapters are written by expert authors with a background in physics and radiology and are richly illustrated with high quality figures, graphical illustrations, and tables. The first section covers background issues and the most relevant technical aspects of the technique, including a detailed description of the approaches to dual-energy, spectral and photon-counting CT by different vendors of CT scanners. The second part focusses on the use of dual-energy, spectral and photon-counting CT in daily clinical practice, and individual chapters are devoted to imaging of the brain, cardiovascular system, gastrointestinal tract, abdominal organs, skeletal system, and the chest. The focus of the book ensures that it will be of interest for a multidisciplinary forum of readers comprising radiologists, medical physicists, and other medical professionals and scientists being interested in cutting-edge CT imaging.

Author : S. Lawrence Marple, Jr.
Publisher : Courier Dover Publications
Page : 130 pages
File Size : 53,7 Mb
Release : 2019-05-15
Category : Technology & Engineering
ISBN : 9780486837383

Get Book

Digital Spectral Analysis MATLAB® Software User Guide by S. Lawrence Marple, Jr. Pdf

This user guide serves as a companion to Digital Spectral Analysis, Second Edition (Dover Publications, 2019), illustrating all the text's techniques and algorithms, plus time versus frequency analysis. The spectral demonstrations use MATLAB software that encompasses the full experience from inputting signal sources, interactively setting technique parameters and processing with those parameters, and choosing from a variety of plotting techniques to display the results. The processing functions and scripts have been coded to automatically handle sample data that is either real-valued or complex-valued, permitting the user to simply modify the demonstration scripts to input their own data for analysis. Four integrated software categories support the demonstrations. These are the main MATLAB spectral demonstration scripts, supporting MATLAB plotting scripts, MATLAB processing functions listed in this guide, and signal sample data sources. Scripts and demonstration data files can be found on the Dover website for free downloading; see the Introduction for details.

Author : Brian C. Smith
Publisher : CRC Press
Page : 282 pages
File Size : 51,5 Mb
Release : 2018-02-06
Category : Science
ISBN : 9781351438377

Get Book

Infrared Spectral Interpretation by Brian C. Smith Pdf

This author's second volume introduces basic principles of interpreting infrared spectral data, teaching its readers to make sense of the data coming from an infrared spectrometer. Contents include spectra and diagnostic bands for the more common functional groups as well as chapters on polyester spectra and interpretation aids. Discussions include: Science of infrared interpretation Light and molecular vibrations How and why molecules absorb infrared radiation Peak heights, intensities, and widths Hydrocarbons, carbonyl groups, and molecules with C-N bonds Polymers and inorganic molecules The use of atlases, library searching, spectral subtraction, and the Internet in augmenting interpretation Each chapter presents an introduction to the nomenclature and structure of a specific functional group and proceeds with the important diagnostic bands for each group. Infrared Spectral Interpretation serves both novices and experienced practitioners in this field. The author maintains a website and blog with supplemental material. His training course schedule is also available online.

Author : Yuming Zhuang,Degang Chen
Publisher : Springer
Page : 170 pages
File Size : 48,8 Mb
Release : 2018-04-03
Category : Technology & Engineering
ISBN : 9783319777184

Get Book

Accurate and Robust Spectral Testing with Relaxed Instrumentation Requirements by Yuming Zhuang,Degang Chen Pdf

This book introduces a family of new methods for accurate and robust spectral testing and fills an information gap, as the requirements in standard test have grown increasingly challenging in recent high precision testing, especially as the device performance has continued to improve. Test engineers will be enabled to accurately set their devices & systems at much simpler test setup, much reduced complexity and much lower cost.

Author : Dieter Kratsch
Publisher : Springer Science & Business Media
Page : 481 pages
File Size : 45,6 Mb
Release : 2005-12-13
Category : Computers
ISBN : 9783540310006

Get Book

Graph-Theoretic Concepts in Computer Science by Dieter Kratsch Pdf

This book constitutes the thoroughly refereed post-proceedings of the 31st International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2005, held in Metz, France in June 2005. The 38 revised full papers presented together with 2 invited papers were carefully selected from 125 submissions. The papers provide a wealth of new results for various classes of graphs, graph computations, graph algorithms, and graph-theoretical applications in various fields. The workshop aims at uniting theory and practice by demonstrating how graph-theoretic concepts can be applied to various areas in Computer Science, or by extracting new problems from applications. The goal is to present recent research results and to identify and explore directions of future research.

Author : S. Lawrence Marple, Jr.
Publisher : Courier Dover Publications
Page : 435 pages
File Size : 54,9 Mb
Release : 2019-03-20
Category : Technology & Engineering
ISBN : 9780486838861

Get Book

Digital Spectral Analysis by S. Lawrence Marple, Jr. Pdf

Designed to offer a broad perspective on spectral estimations techniques and their implementation, this text provides theoretical background and review material in linear systems, Fourier transforms, matrix algebra, random processes, and statistics. 1987 edition.

Author : Jean-marc Theriault,James O Jensen
Publisher : World Scientific
Page : 544 pages
File Size : 48,5 Mb
Release : 2009-08-11
Category : Technology & Engineering
ISBN : 9789814469586

Get Book

Spectral Sensing Research For Surface And Air Monitoring In Chemical, Biological And Radiological Defense And Security Applications by Jean-marc Theriault,James O Jensen Pdf

This book provides unique perspectives on the state of the art in multispectral/hyperspectral techniques for early-warning monitoring against chemical, biological and radiological (CB&R) contamination of both surface (e.g. land) and air (e.g. atmospheric) environments through the presentation of a comprehensive survey of the novel spectroscopic methodologies and technologies that are emerging to address the CB&R defense and security challenges of the future. The technical content in this book lends itself to the non-traditional requirements for point and stand-off detection that have evolved out of the US joint services programs over many years. In particular, the scientific and technological work presented seeks to enable hyperspectral-based sensing and monitoring that is in real time and in-line; low in cost and labor requirements; and easy to support, maintain and use in military and security-relevant scenarios.

Author : Anonim
Publisher : Unknown
Page : 622 pages
File Size : 51,9 Mb
Release : 2001
Category : Computer algorithms
ISBN : UOM:39015048301504

Get Book

Algorithms for Multispectral, Hyperspectral, and Ultraspectral Imagery by Anonim Pdf

Author : Fahad Saeed,Muhammad Haseeb
Publisher : Springer Nature
Page : 146 pages
File Size : 45,8 Mb
Release : 2022-09-02
Category : Science
ISBN : 9783031019609

Get Book

High-Performance Algorithms for Mass Spectrometry-Based Omics by Fahad Saeed,Muhammad Haseeb Pdf

To date, processing of high-throughput Mass Spectrometry (MS) data is accomplished using serial algorithms. Developing new methods to process MS data is an active area of research but there is no single strategy that focuses on scalability of MS based methods. Mass spectrometry is a diverse and versatile technology for high-throughput functional characterization of proteins, small molecules and metabolites in complex biological mixtures. In the recent years the technology has rapidly evolved and is now capable of generating increasingly large (multiple tera-bytes per experiment) and complex (multiple species/microbiome/high-dimensional) data sets. This rapid advance in MS instrumentation must be matched by equally fast and rapid evolution of scalable methods developed for analysis of these complex data sets. Ideally, the new methods should leverage the rich heterogeneous computational resources available in a ubiquitous fashion in the form of multicore, manycore, CPU-GPU, CPU-FPGA, and IntelPhi architectures. The absence of these high-performance computing algorithms now hinders scientific advancements for mass spectrometry research. In this book we illustrate the need for high-performance computing algorithms for MS based proteomics, and proteogenomics and showcase our progress in developing these high-performance algorithms.

Author : Anonim
Publisher : Unknown
Page : 804 pages
File Size : 40,6 Mb
Release : 2007
Category : Computer algorithms
ISBN : UOM:39015047306314

Get Book

Algorithms and Technologies for Multispectral, Hyperspectral, and Ultraspectral Imagery by Anonim Pdf