De-Sinc numerical methods

Authors:
Masaaki Sugihara
Affiliations:
University of Tokyo, Tokyo, Japan
Venue:
Proceedings of the 2009 conference on Symbolic numeric computation
Year:
2009

Citing 9
Cited 0

Sinc methods for quadrature and differential equations

Sinc methods for quadrature and differential equations
Selected topics in approximation and computation

Selected topics in approximation and computation
Summary of Sinc numerical methods

Journal of Computational and Applied Mathematics - Special issue on numerical analysis in the 20th century vol. 1: approximation theory
The double-exponential transformation in numerical analysis

Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. V: quadrature and orthogonal polynomials
Near optimality of the sinc approximation

Mathematics of Computation
Double exponential formulas for numerical indefinite integration

Journal of Computational and Applied Mathematics
Recent developments of the Sinc numerical methods

Journal of Computational and Applied Mathematics - Special Issue: Proceedings of the 10th international congress on computational and applied mathematics (ICCAM-2002)
Numerical solution of integral equations by means of the Sinc collocation method based on the double exponential transformation

Journal of Computational and Applied Mathematics
Sinc-Galerkin method based on the DE transformation for the boundary value problem of fourth-order ODE

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	0.00

Visualization

Abstract

The present talk gives a survey of the DE-Sinc numerical methods (= the Sinc numerical methods, which have been developed by Stenger and his school, incorporated with double-exponential transformations). The DE-Sinc numerical methods have a feature that they enjoys the convergence rate O(exp(-κ'n/log n)) with some κ'0 even if the function, or the solution to be approximated has end-point singularity, where n is the number of nodes or bases used in the methods.