Quadrature rules

This paper presents analysis of thin plates with holes within the context of XFEM. New integration techniques are developed for exact geometrical representation of the holes. Numerical and exact integration techniques are presented, with some limitations for the exact integration technique. Simulation results show that the proposed techniques help to reduce the solution error, due to the exact geometrical representation of the holes and utilization of appropriate quadrature rules.

8p kequaidan1 16-11-2019 20 0   Download

A generalisation of a perturbed version of the Ostrowski inequality for twice differentiable mappings is studied. It is shown that the error bounds are better than those obtained previously. Applications for general quadrature formulae are also given.

34p tuongvidanh 06-01-2019 28 2   Download

For a given finite positive measure on an interval I ⊆ R, a multiple stochastic integral of a Volterra kernel with respect to a product of a corresponding Gaussian orthogonal stochastic measure is introduced. The Volterra kernel is taken such that the multiple stochastic integral is a multiple iterated stochastic integral related to a parameterized Hermite polynomial, where parameter depends on Gaussian distribution of an underlying one-dimensional stochastic integral.

14p danhnguyentuongvi27 19-12-2018 11 0   Download

CHAPTER 11 MINIMIZING ENGINEERING EFFORT Charles R. Mischke, Ph.D., P.E. Professor Emeritus of Mechanical Engineering Iowa State University Ames, Iowa 11.1 INTRODUCTION/11.2 11.2 REDUCING THE NUMBER OF EXPERIMENTS /11.3 11.3 SIMILITUDE/11.7 11.4 OPTIMALITY/11.9 11.5 QUADRATURE/11.13 11.6 CHECKING/11.15 REFERENCES/11.

21p hadalabo 29-09-2010 72 6   Download

is symmetric. However, since the weights wj are not equal for most quadrature rules, the matrix K (equation 18.1.5) is not symmetric. The matrix eigenvalue problem is much easier for symmetric matrices, and so we should restore the symmetry if possible.

4p babyuni 17-08-2010 64 4   Download

special quadrature rules, but they are also sometimes blessings in disguise, since they can spoil a kernel’s smoothing and make problems well-conditioned. In §§18.4–18.7 we face up to the issues of inverse problems.

4p babyuni 17-08-2010 55 6   Download