We compare approximated solution with exact solution and find that Lagrange’s spectral collocation method gives very high accuracy approximation. Among the four types of nodes, nodes from Jacobi ...

In this paper, Bernstein polynomials method (BPM) and their operational matrices are adopted to obtain approximate analytical solutions of variational problems. The operational matrix of ...

1 Warwick Mathematics Institute, The University of Warwick, Coventry, United Kingdom 2 School of Computer and Information Engineering, Luoyang Institute of Science and Technology, Luoyang, China To ...

Abstract This article describes how to assess an approximation in a wavelet collocation method which minimizes the sum of squares of residuals. In a research project several different types of ...

Some methods cannot control the approximation accuracy beforehand, or they cannot approximate target functions accurately and efficiently. Other methods can only approximate a particular function ...

This method can be used for both approximation and error estimation of stochastic simulations where the computations can either be guided or come from a legacy database.

This paper proposes an adaptive subdivision method for triangular meshes based on approximation error of edge.

This paper provides an error analysis for the Crank-Nicolson method of time discretization applied to spatially discrete Galerkin approximations of the nonstationary Navier-Stokes equations.

Approximation Theory and Operators in Functional Spaces Publication Trend The graph below shows the total number of publications each year in Approximation Theory and Operators in Functional Spaces.