A general method for near-best approximations to functionals on R, using scattered-data information, is applied for producing stable multidimensional integration rules. The rules are constructed to be exact for polynomials of degree 6m and, for a quasi-uniform distribution of the integration points, it is shown that the approximation order is O(h) where h is an average distance between the data...

in the present study, the mechanical behavior of aa5052 aluminum alloy during cold deformation and subsequent isothermal annealing in a temperature range of 225-300oc was investigated using the uniaxial tensile test data. it is found that by increasing the annealing time and temperature the material yield strength is decreased. the microstructural investigations of the annealed samples show tha...

In this paper, a simple scheme is constructed for finding approximate solution of the nonlinear Fredholm integral equation second kind. To end, Lagrange interpolation polynomials together with Gauss-Legendre quadrature rule are used to transform source problem system algebraic equations. Afterwards, resulting can be solved by Newton method. The basic idea choose points same as integration. This...

This paper proposes a direct approach for solving optimal control problems. The time domain is divided into multiple subdomains, and a Lagrange interpolating polynomial using the Legendre–Gauss– Lobatto points is used to approximate the states and controls. The state equations are enforced at the Legendre–Gauss–Lobatto nodes in a nonlinear programming implementation by partial Gauss–Lobatto qua...

Analytical expressions of the elements of a cross spectral density matrix are derived to describe the partially coherent Lorentz-Gauss beam propagating in uniaxial crystals orthogonal to the x-axis. The intensity and degree of polarization for the partially coherent Lorentz-Gauss beam propagating in uniaxial crystals orthogonal to the x-axis are also presented. The evolution properties of the p...

Department of Mathematics, University of Gaziantep, Gaziantep, Turkey e-mail address : [email protected] Abstract For the practical estimation of the error of Gauss quadrature rules Gauss-Kronrod rules are widely used; but, it is well known that for the generalized Hermite weight function, ωα(x) = |x|2α exp(−x2) over [−∞,∞], real positive Gauss-Kronrod rules do not exist. Among the alternati...

Abstract A high-order accurate reconstructed discontinuous Galerkin (rDG) method is developed for compressible inviscid and viscous flows in arbitrary Lagrangian-Eulerian (ALE) formulation on moving deforming unstructured curved meshes. Taylor basis functions the rDG are defined time-dependent domain, where integration computations performed. The Geometric Conservation Law (GCL) satisfied by mo...