Sinc Approximation on Γ

1993 ◽  
pp. 179-242
Author(s):  
Frank Stenger
Keyword(s):  
Sinc Approximation

scholarly journals Sinc Approximation of the Heat Flux on the Boundary of a Two-Dimensional Finite Slab

2006 ◽  
Vol 27 (5-6) ◽  
pp. 685-695 ◽  
Author(s):  
P. H. Quan ◽  
D. D. Trong ◽  
P. N. Dinh Alain
Keyword(s):  
Heat Flux ◽  
Two Dimensional ◽  
Sinc Approximation ◽  
Finite Slab

scholarly journals Solving nonlinear boundary value problems by the Galerkin method with sinc functions

Open Physics ◽  
2015 ◽  
Vol 13 (1) ◽  
Author(s):  
Sertan Alkan ◽  
Aydin Secer
Keyword(s):  
Differential Equations ◽  
Galerkin Method ◽  
Nonlinear Boundary ◽  
Nonlinear Differential Equations ◽  
Nonlinear Problems ◽  
Approximate Solutions ◽  
Nonlinear Boundary Value Problems ◽  
Sinc Approximation ◽  
Sinc Functions ◽  
The Galerkin Method

AbstractIn this paper, the sinc-Galerkin method is used for numerically solving a class of nonlinear differential equations with boundary conditions. The importance of this study is that sinc approximation of the nonlinear term is stated as a new theorem. The method introduced here is tested on some nonlinear problems and is shown to be a very efficient and powerful tool for obtaining approximate solutions of nonlinear ordinary differential equations.

scholarly journals Design of accurate formulas for approximating functions in weighted Hardy spaces by discrete energy minimization

2018 ◽  
Vol 39 (4) ◽  
pp. 1957-1984 ◽  
Author(s):  
Ken’ichiro Tanaka ◽  
Masaaki Sugihara
Keyword(s):  
Hardy Spaces ◽  
Weight Functions ◽  
Approximation Formula ◽  
Optimal Sampling ◽  
Weighted Hardy Spaces ◽  
Sinc Approximation ◽  
Discrete Energy ◽  
Decay Properties ◽  
Sampling Points ◽  
Approximation Formulas

Abstract We propose a simple and effective method for designing approximation formulas for weighted analytic functions. We consider spaces of such functions according to weight functions expressing the decay properties of the functions. Then we adopt the minimum worst error of the $n$-point approximation formulas in each space for characterizing the optimal sampling points for the approximation. In order to obtain approximately optimal sampling points we consider minimization of a discrete energy related to the minimum worst error. Consequently, we obtain an approximation formula and its theoretical error estimate in each space. In addition, from some numerical experiments, we observe that the formula generated by the proposed method outperforms the corresponding formula derived with sinc approximation, which is near optimal in each space.

scholarly journals Connection between Sinc Approximation for High-Energy Absorption Cross Section and Shadow of Black Holes

2021 ◽  
Author(s):  
Ali Övgün
Keyword(s):  
Black Hole ◽  
Energy Absorption ◽  
Cross Section ◽  
Absorption Cross Section ◽  
High Energy ◽  
Absorption Cross ◽  
Sinc Approximation ◽  
Black Hole Spacetime ◽  
Symmetric Black Hole ◽  
High Energy Absorption

This letter aims to show the connection between the sinc approximation for high-energy absorption cross section and the shadow radius of the spherically symmetric black hole. This connection can give a physical interpretation of the absorption cross section in the eikonal limit parameters. Moreover, the use of this alternative way, one can extract its shadow radius from the absorption cross section in high energy limits to gain more information about the black hole spacetime. Our results indicate that the increasing the value of the shadow radius of the black hole, exponentially increase the the absorption cross section of the black hole in high-energy limits which can be captured by the Event Horizon Telescope (EHT) collaboration.

Sign in / Sign up

Export Citation Format

Share Document