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Approximate solution of integral equations with kernels of the form K(x – t) based on a special basis of trigonometric functions
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V. V. Smelov
Veröffentlicht/Copyright:
10. Juni 2009
Abstract
A special basis based on trigonometric functions is proposed for solution of integral equations with kernels of the form K(x – t) by the Galerkin method. This basis possesses high approximation quality and allows one to reduce the double integral in the Galerkin algorithm to a very simple single integration.
Published Online: 2009-06-10
Published in Print: 2009-May
© de Gruyter 2009
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Artikel in diesem Heft
- Numerical study of stability and transient phenomena of Poiseuille flows in ducts of square cross-sections
- A monotone nonlinear finite volume method for diffusion equations on conformal polyhedral meshes
- A finite-difference representation of the Coriolis force in numerical models of Godunov type for rotating shallow water flows
- Recurrent partial averaging in the theory of weighted Monte Carlo methods
- Spectral numerical models of fractional Brownian motion
- Approximate solution of integral equations with kernels of the form K(x – t) based on a special basis of trigonometric functions
