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.
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`...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)
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First Sentence:
It is well known that complex analysis has many important applications in applied sciences. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
harmonic spline functions, interpolatory wavelets, complex splines, harmonic splines, periodic wavelets, mesh ratio, spline approach, reconstruction formulas, decomposition formulas, conformal mapping, scaling functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Valued Periodic Quasi-wavelets, Other Methods, Quasi-interpolant Complex Splines, Chen Han-lin, Simplifying the Procedure, Their Function Theoretical Properties New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
It is well known that complex analysis has many important applications in applied sciences. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
harmonic spline functions, interpolatory wavelets, complex splines, harmonic splines, periodic wavelets, mesh ratio, spline approach, reconstruction formulas, decomposition formulas, conformal mapping, scaling functions Key Phrases - Capitalized Phrases (CAPs): (learn more)
Real Valued Periodic Quasi-wavelets, Other Methods, Quasi-interpolant Complex Splines, Chen Han-lin, Simplifying the Procedure, Their Function Theoretical Properties New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 11
books:
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- Matrix Theory, Vol. 2 by Felix R. Gantmacher in Back Matter
- Integral Equations (Cambridge Tracts in Mathematics) by F. Smithies in Back Matter
- Applied and Computational Complex Analysis, Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions (Wiley Classics Library) (Volume 3) by Peter Henrici in Back Matter
- Real and Complex Analysis (International Series in Pure and Applied Mathematics) by Walter Rudin in Back Matter
- Singular Integral Equations by N.I. Muskhelishvili in Back Matter
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