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...

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 ...

Multifunctional theranostic platforms capable of concurrent near-infrared (NIR) fluorescence imaging and phototherapies are strongly desired for cancer diagnosis and treatment. However, the integration of separate imaging and therapeutic components into nanocarriers results in complex theranostic systems with limited translational potential. A single agent-based theranostic nanoplatform, theref...

We consider a class of interpolation algorithms, including the least-squares optimal Yen interpolator, and we derive a closed-form expression for the interpolation error for interpolators of this type. The error depends on the eigenvalue distribution of a matrix that is specified for each set of sampling points. The error expression can be used to prove that the Yen interpolator is optimal. The...

‎‎In this paper, Solvability nonlinear Volterra integral equations with general vanishing delays is stated. So far sinc methods for approximating the solutions of Volterra integral equations have received considerable attention mainly due to their high accuracy. These approximations converge rapidly to the exact solutions as number sinc points increases. Here the numerical solution of nonlinear...

This paper presents the application of Sinc method to solve second order two-point boundary value problems based on derivative interpolation. Even in the presence of singularities, the Sinc numerical method is known to exhibit exponential convergence, resulting in highly accurate solutions. However, the customary approach of interpolating the solution variable with the Sinc bases requires first...

The Sinc approximation is known to yield quite accurate results for double-exponentially decaying functions. To date, this has been successfully applied derivatives, initial value problems, boundary and so forth. However, an error analysis of the m-th derivatives not explicitly given, except in case m = 1. This study provides all positive integers m.

BACKGROUND Electrical Impedance Tomography (EIT) is used as a fast clinical imaging technique for monitoring the health of the human organs such as lungs, heart, brain and breast. Each practical EIT reconstruction algorithm should be efficient enough in terms of convergence rate, and accuracy. The main objective of this study is to investigate the feasibility of precise empirical conductivity i...