Numerical Methods Based on Sinc and Analytic Functions

1. Front Matter

   Pages i-xv

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2. Mathematical Preliminaries

   • Frank Stenger

   Pages 1-103

3. Polynomial Approximation

   • Frank Stenger

   Pages 105-130

4. Sinc Approximation in Strip

   • Frank Stenger

   Pages 131-178

5. Sinc Approximation on Γ

   • Frank Stenger

   Pages 179-242

6. Sinc-Related Methods

   • Frank Stenger

   Pages 243-310

7. Integral Equations

   • Frank Stenger

   Pages 311-440

8. Differential Equations

   • Frank Stenger

   Pages 441-531

9. Back Matter

   Pages 533-565

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Many mathematicians, scientists, and engineers are familiar with the Fast Fourier Transform, a method based upon the Discrete Fourier Transform. Perhaps not so many mathematicians, scientists, and engineers recognize that the Discrete Fourier Transform is one of a family of symbolic formulae called Sinc methods. Sinc methods are based upon the Sinc function, a wavelet-like function replete with identities which yield approximations to all classes of computational problems. Such problems include problems over finite, semi-infinite, or infinite domains, problems with singularities, and boundary layer problems. Written by the principle authority on the subject, this book introduces Sinc methods to the world of computation. It serves as an excellent research sourcebook as well as a textbook which uses analytic functions to derive Sinc methods for the advanced numerical analysis and applied approximation theory classrooms. Problem sections and historical notes are included.

• Approximation
• approximation theory
• numerical analysis

• Department of Computer Science, The University of Utah, Salt Lake City, USA

  Frank Stenger

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