Lectures on Constructive Approximation PDF ePub eBook

Books Info:

Lectures on Constructive Approximation free pdf Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author's lectures on classical approximation methods based on orthogonal polynomials and selected modern tools such as splines and wavelets. Methods for approximating functions on the real line are treated first, as they provide the foundations for the methods on the sphere and the ball and are useful for the analysis of time-dependent (spherical) problems. The author then examines the transfer of these spherical methods to problems on the ball, such as the modeling of the Earth's or the brain's interior. Specific topics covered include: * the advantages and disadvantages of Fourier, spline, and wavelet methods * theory and numerics of orthogonal polynomials on intervals, spheres, and balls * cubic splines and splines based on reproducing kernels * multiresolution analysis using wavelets and scaling functions This textbook is written for students in mathematics, physics, engineering, and the geosciences who have a basic background in analysis and linear algebra. The work may also be suitable as a self-study resource for researchers in the above-mentioned fields.

About Volker Michel

Dr. Volker Michel teaches at University of Siegen

Details Book

Author : Volker Michel
Publisher : Birkhauser Boston Inc
Data Published : 11 December 2012
ISBN : 0817684026
EAN : 9780817684020
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 326 pages
Age + : 15 years
Language : English
Rating :

Reviews Lectures on Constructive Approximation



17 Comments Add a comment




Related eBooks Download


  • Spline and Spline Wavelet Methods with Applications to Signal and Image Pro ... free pdfSpline and Spline Wavelet Methods with Applications to Signal and Image Pro ...

    This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines..


  • Spline and Spline Wavelet Methods with Applications to Signal and Image Pro ... free pdfSpline and Spline Wavelet Methods with Applications to Signal and Image Pro ...

    This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines..


  • Fourier Series and Orthogonal Functions free pdfFourier Series and Orthogonal Functions

    This incisive text. directed to advanced undergraduate and graduate students in mathematics. physics and engineering. deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems..


  • Approximation Theory and Spline Functions free pdfApproximation Theory and Spline Functions

    A NATO Advanced Study Institute on Approximation Theory and Spline Functions was held at Memorial University of Newfoundland during August 22-September 2..


  • Modeling, Simulation and Optimization for Science and Technology free pdfModeling, Simulation and Optimization for Science and Technology

    This volume contains thirteen articles on advances in applied mathematics and computing methods for engineering problems. Six papers are on optimization methods and algorithms with emphasis on problems with multiple criteria- four articles are on numerical methods for applied problems modeled with nonlinear PDEs- two contributions are on abstract estimates for error analysis- finally one paper deals with rare events in the context of uncertainty quantification..


  • Lectures on Constructive Approximation free pdfLectures on Constructive Approximation

    . Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical ima