The use of the stochastic arithmetic to estimate the value of interpolation polynomial with optimal degree

DOI10.1016/j.apnum.2004.01.003zbMath1051.41001OpenAlexW1966176689MaRDI QIDQ1878383

Saeid Abbasbandy, Mohammad Ali Fariborzi Araghi

Publication date: 19 August 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.01.003

zbMATH Keywords

CESTAC methodChebyshev polynomialInterpolation polynomialStochastic arithmetic

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Interpolation in approximation theory (41A05)

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Finding optimal results in the homotopy analysis method to solve fuzzy integral equations ⋮ A reliable algorithm to check the accuracy of iterative schemes for solving nonlinear equations: an application of the CESTAC method ⋮ Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method ⋮ The use of CESTAC method to find optimal shape parameter and optimal number of points in RBF-meshless methods to solve differential equations ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ A procedure with stepsize control for solving \(n\) one-dimensional IVPs ⋮ Valid implementation of sinc-collocation method to solve the fuzzy Fredholm integral equation ⋮ Control of accuracy on Taylor-collocation method for load leveling problem ⋮ A stochastic scheme for solving definite integrals

Uses Software

• CADNA

Cites Work

• The use of the CADNA library for validating the numerical results of the hybrid GMRES algorithm
• Numerical solution of improper integrals with valid implementation
• The equality relations in scientific computing
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