I calculate the modes of vibration of membranes of arbitrary shape using a collocation approach based on Little Sinc Functions. The matrix representation of the PDE obtained using this method is explicit and it does not require the calculation of integrals. To illustrate the virtues of this approach, I have considered a large number of examples, part of them taken from the literature, and part ...

The Sinc-Galerkin method is presented as a new and potentially useful extension of the spectral method in numerical oceanography. To describe and illustrate the technique , a Sinc-Galerkin procedure is used to infer the sensitivity of wind-driven subsur-face currents in coastal regions and semi-enclosed seas when the vertical eddy viscosity coeecient is represented as a continuously diierentiab...

We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and Sinc-Gaussian based method. The two last Sinc related are exact transforms which allow us numerical approximation using methods. transform converges exponentially does not use Bromwich contours for computations. apply the to Mittag-Leffler functions incorporating one, two, parameters. par...

This paper introduces a formalism named SINC aimed at the design and verication of synchronous concurrent systems. The components of this formalism are a transition system and a rst-order linear-time temporal logic. The SINC transition system adopts a synchronous computation model, includes a method to solve write-con icts, and represents transitions as possibly non-terminating imperative comma...

We present a numerical method for approximating an indefinite integral by the double exponential sinc method. The approximation error of the proposed method with N integrand function evaluations is O(exp(−c1N/ log(c2N))) for a reasonably wide class of integrands, including those with endpoint singularities. The proposed method compares favorably with the existing formulas based on the ordinary ...

This paper introduces a formalism named SINC aimed at the design and verification of synchronous concurrent systems. The components of this formalism are a transition system and a first-order linear-time temporal logic. The SINC transition system adopts a synchronous computation model, includes a method to solve write-conflicts, and represents transitions as possibly non-terminating imperative ...

There are few techniques available to numerically solve sixth-order boundary-value problems with two-point boundary conditions. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving such problems. The method is then tested on examples with homogeneous and nonhomogeneous boundary conditions and a comparison with the modified decomposition method is m...

There are few techniques available to numerically solve contaminant transport equation. In this paper we show that the Sinc-Galerkin method is a very effective tool in numerically solving contaminant transport equation. The numerical results demonstrate the reliability and efficiency of using the Sinc-Galerkin method to solve such problems.