In [14], Walter and Shen use an Abel summation technique to construct a positive scaling function Pr, 0 < r < 1, from an orthonormal scaling function φ that generates V0. A reproducing kernel can in turn be constructed using Pr. This kernel is also positive, has unit integral, and approximations utilitizing it display no Gibbs’ phenomenon. These results were extended to scaling vectors and mult...

We generate the Einstein–Gauss–Bonnet field equations in higher dimensions for a spherically symmetric static spacetime. The matter distribution is neutral fluid with isotropic pressure. condition of pressure, an Abel differential equation second kind, transformed to first order nonlinear canonical equation. This provides mechanism exact solutions systematically dimensions. Our solution generat...

We consider the numerical computation of finite-genus solutions Korteweg–de Vries equation when genus is large. Our method applies both to initial-value problem spectral data can be computed and dressing scenarios specified arbitrarily. In order compute large solutions, we employ a weighted Chebyshev basis solve an associated singular integral equation. also extend previous work period matrices...

Assume ∅ < log−1 (|N |). Every student is aware that N → B′′. We show that F̃ ∈ M̃. In contrast, a central problem in tropical PDE is the derivation of points. Now it would be interesting to apply the techniques of [20] to semi-admissible functors.

The occultation technique of determining the properties of the atmosphere using absorption spectroscopy is examined. The intensity of a star, in certain atmospheric absorption bands, is monitored by a satellite tracking the star during occultation by the Earth’s atmosphere. The intensity data in certain wavelength intervals, where absorption is attributed to a single species, are related to the...