Function classes for successful DE-Sinc approximations

DOI10.1090/S0025-5718-08-02196-0zbMath1198.65037OpenAlexW1979693299MaRDI QIDQ3055158

Masaaki Sugihara, Kazuo Murota, Ken'ichiro Tanaka

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02196-0

zbMATH Keywords

double exponential transformation sinc approximation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25) Approximation by other special function classes (41A30)

Related Items

Solving Bratu's problem by double exponential Sinc method ⋮ Numerical solution of the fourth-order partial integro-differential equation with multi-term kernels by the sinc-collocation method based on the double exponential transformation ⋮ DE-sinc methods have almost the same convergence property as SE-sinc methods even for a family of functions fitting the SE-sinc methods. II: Indefinite integration ⋮ On the solutions of a nonlinear fractional integro-differential equation of pantograph type ⋮ A sinc quadrature method for the Urysohn integral equation ⋮ Unnamed Item ⋮ A formally second‐order <scp>backward differentiation formula</scp> Sinc‐collocation method for the Volterra integro‐differential equation with a weakly singular kernel based on the double exponential transformation ⋮ Error estimates with explicit constants for the sinc approximation over infinite intervals ⋮ Theoretical analysis of a sinc-Nyström method for Volterra integro-differential equations and its improvement ⋮ Convergence analysis of approximation formulas for analytic functions via duality for potential energy minimization ⋮ Numerical solution for a porous fin thermal performance problem by application of Sinc collocation method ⋮ Improvement of a sinc-collocation method for Fredholm integral equations of the second kind ⋮ Approximation of weakly singular integral equations by sinc projection methods ⋮ On the computation of eigenvalues of the anharmonic Coulombic potential ⋮ Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration ⋮ Application of sinc-collocation method for solving a class of nonlinear Fredholm integral equations ⋮ Numerical approach for solving neutral differential equation with deviating argument ⋮ Theoretical analysis of sinc-collocation methods and sinc-Nyström methods for systems of initial value problems ⋮ An upper bound estimate and stability for the global error of numerical integration using double exponential transformation ⋮ Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method ⋮ Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind ⋮ Theoretical analysis of Sinc-Nyström methods for Volterra integral equations ⋮ Function classes for successful DE-Sinc approximations ⋮ An optimal approximation formula for functions with singularities ⋮ Application of Sinc on the Multi-Order Fractional Differential Equations ⋮ Construction of Approximation Formulas for Analytic Functions by Mathematical Optimization ⋮ Solving fractional diffusion equations by Sinc and radial basis functions ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods ⋮ A spectral order method for solving the nonlinear fourth-order time-fractional problem

Cites Work