Efficient numerical integration of thermal interaction rates

Numerical Analysis of the Thermal Interaction of Cell Phone Radiation with Human Eye Tissues

Introduction: The present study aimed to present a numerical analysis of the penetration depth,  specific absorption rate (SAR), and temperature rise in various eye tissues with varying distance between radiation source and exposed human eye tissues (i.e., cornea, posterior chamber, anterior chamber, lens, sclera, vitreous humor, and iris) at frequencies of 900 and1800 MHz. Materials and Method...

Numerical integration of the interaction energy of two point charges

We calculated numerically the energy interaction of two point charged particles. The integral has simple analytical result but is not easily solved numerically. Commercial programs as Mathematica 3.0 and Maple V could not evaluate the integral and Gauss±Legendre method gave poor results. The method of Runge±Kutta integration was capable of solving it with good results. This integral showed to b...

The Existence of Efficient Lattice Rules for Multidimensional Numerical Integration

In this contribution to the theory of lattice rules for multidimensional numerical integration, we first establish bounds for various efficiency measures which lead to the conclusion that in the search for efficient lattice rules one should concentrate on lattice rules with large first invariant. Then we prove an existence theorem for efficient lattice rules of rank 2 with prescribed invariants...

Numerical integration using spline quasi-interpolants

In this paper, quadratic rules for obtaining approximate solution of definite integrals as well as single and double integrals using spline quasi-interpolants will be illustrated. The method is applied to a few test examples to illustrate the accuracy and the implementation of the method.

A Numerical Integration Method by Using Generalized Series of Functions