Abstract This article deals with the problem of finding a pricing formula for weather derivatives based on temperature dynamics through an uncertain differential equation. Weather-related are being employed more frequently in alternative risk portfolios multiple asset classes. We first propose process that uses data from past to describe how has changed. Despite this, these assets is difficult ...

Haque’s Approach with Mickens’ Iteration Method is used to find the exact analytic solution of nonlinear equation involving velocity times acceleration squared. A truncated Fourier series in different rhythms repetition steps. Our results are very close and our comparatively closer than others. method obtained around second-order angular frequency using Newton’s method. For some third-order (je...

We discuss the effects of the δ2 and Lubkin acceleration methods on the partial sums of Fourier Series. We construct continuous, even Hölder continuous functions, for which these acceleration methods fail to give convergence. The constructed functions include some interesting trigonometric series whose properties were investigated by Hardy and Littlewood.

In electrical impedance tomography (EIT) the impedance distribution is usually estimated in xed elements inside the object. The implicit assumption is most often that the impedance in each element is more or less independent of the other (neighboring) elements. In many cases, such as in the impedance imaging of the chest, this model might not be a feasible one. An example is the heart muscle an...

When engineers model the magnetostatic fields applied to recording heads of computer hard drives due to a magnetic recording medium, the solution of Laplace’s equation must be found. A popular solution method is based on Fourier analysis. However, due to the geometry of the read head model, an interesting mathematical problem arises. The coefficients for the Fourier series solution of the desir...

We consider the problem of determining a pair of functions (u, f) satisfying the two-dimensional backward heat equation ut −∆u = φ(t)f(x, y), t ∈ (0, T ), (x, y) ∈ (0, 1)× (0, 1), u(x, y, T ) = g(x, y) with a homogeneous Cauchy boundary condition, where φ and g are given approximately. The problem is severely ill-posed. Using an interpolation method and the truncated Fourier series, we construc...

A new application of sigma-delta modulation has emerged in soft switching three phase power electronic converters. For this application, a conventional sigma-delta modulator with scalar signals and binary quantizer is generalized to a sigma-delta modulator with vector signals and a truncated hexagonal lattice quantizer. This vector sigma-delta modulator has an interesting output spectrum which ...