Complex Harmonic Splines, Periodic Quasi-Wavelets: Theory and Applications by Han-lin ChenComplex Harmonic Splines, Periodic Quasi-Wavelets: Theory and Applications by Han-lin Chen

Complex Harmonic Splines, Periodic Quasi-Wavelets: Theory and Applications

byHan-lin Chen

Paperback | October 4, 2012

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This book presents Complex Harmonic Splines (CHS), which gives an approximation to the Complex Harmonic Function (CHF), in particular the conformal mapping with high accuracy from the unit disc to a domain with arbitrary shape. The volume develops various periodic quasi-wavelets which can be used to solve the Helmholtz integral equation under some boundary conditions with complexity O(N). The last part of the work introduces a class of periodic wavelets with various properties. Audience: This volume will be of interest to applied mathematicians, physicists and engineers whose work involves approximations and expansions, integral equations, functions of a complex variable and numerical analysis.
Title:Complex Harmonic Splines, Periodic Quasi-Wavelets: Theory and ApplicationsFormat:PaperbackDimensions:226 pagesPublished:October 4, 2012Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401058431

ISBN - 13:9789401058438


Table of Contents

Preface. Introduction. 1. Theory and Application of Complex Harmonic Spline Functions. 2. Periodic Quasi-Wavelets. 3. The Application of Quasi-Wavelets in Solving A Boundary Integral Equation of the Second Kind. 4. The Periodic Cardinal Interpolatory Wavelets. Concluding Remarks. References. Index. Author Index.

Editorial Reviews

`...this book is a rigorous presentation of the numerous interesting mathematical properties and physical applications of complex harmonic spline functions, which is suitable not only as a reference source but also as a textbook for a special topics course or seminar. We are delighted to see the publication of this book and hope that it will foster new research and applications of complex harmonic splines and wavelets. We enthusiasticalloy recommend it to the mathematics and engineering communities.' Journal of Approximation Theory, 106 (2000)