Sinc Convolution Examples

Frank Stenger, Don Tucker and Gerd Baumann
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Frank Stenger: University of Utah, School of Computing
Don Tucker: University of Utah, Department of Mathematics
Gerd Baumann: German University in Cairo, Department of Mathematics

Chapter Chapter 6 in Navier–Stokes Equations on R3 × [0, T], 2016, pp 53-78 from Springer

Abstract: Abstract This chapter collects two examples demonstrating the application of the DFT-Sinc convolution algorithm. We apply the algorithm to an initial vector field with Gaussian and hyperbolic multiplier. The two multiplier functions used for initial conditions guarantee that natural Dirichlet boundary conditions are satisfied. The different asymptotic decays of the multiplier functions require a special choice of the step length. For both examples we indicate some practical applications.

Keywords: Vector Field; Initial Pressure; Error Decay; Seidel Iteration; Sinc Point (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-319-27526-0_6

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