The DE-Sinc formulas, resulting from a combination of the Sinc approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In many cases they are more efficient than the SE-Sinc formulas, which are the Sinc approximation formulas combined with the single exponential (SE) transformations. Function classes suited to the SE-S...

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 provides the fractional derivatives of‎ ‎the Caputo type for the sinc functions‎. ‎It allows to use efficient‎ ‎numerical method for solving fractional differential equations‎. ‎At‎ ‎first‎, ‎some properties of the sinc functions and Legendre‎ ‎polynomials required for our subsequent development are given‎. ‎Then‎ ‎we use the Legendre polynomials to approximate the fractional‎ ‎deri...

In this paper, we explore the applicability of the SincCollocation method to a three-dimensional (3D) oceanography model. The model describes a wind-driven current with depth-dependent eddy viscosity in the complex-velocity system. In general, the Sinc-based methods excel over other traditional numerical methods due to their exponentially decaying errors, rapid convergence and handling problems...

We report SInC (SNV, Indel and CNV) simulator and read generator, an open-source tool capable of simulating biological variants taking into account a platform-specific error model. SInC is capable of simulating and generating singleand paired-end reads with user-defined insert size with high efficiency compared to the other existing tools. SInC, due to its multi-threaded capability during read ...

This talk consists of a proof of part of Stenger’s SINC-PACK computer package (an approx. 400-page tutorial + about 250 Matlab programs) that one can always achieve separation of variables when solving linear elliptic, parabolic, and hyperbolic PDE (partial differential equations) via use of Sinc methods. Some examples illustrating computer solutions via SINC-PACK will nevertheless be given in ...

The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ill-posed inverse problems, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of $x$, say $...

This paper gives a brief review of Sinc methods, with emphasis on the matrices of Sinc methods. A novel procedure is presented, based on Sinc convolution, for solving a Poisson problem over a rectangular region. Although some of the work of Gragg and Reichel may already be applied to the solution of Sinc{matrix problems, this paper also points to new directions of matrix research.

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...