How far the stability domain of a numerical method for approximating solutions to differential equations extends along the imaginary axis indicates how useful the method is for approximating solutions to wave equations; this maximum extent is termed the stability ordinate, also known as the imaginary stability boundary. It has previously been shown that exactly half of Adams-Bashforth, Adams-Mo...

The 1D Fokker-Planck equation (FPE) plays a major role in the propagation of light universe. It specifically describes small angle scattering photons (and electrons) as they travel participating media. In particular, differential term representing phase function law enables scattering. This also makes FPE challenge to solve discrete ordinate sense. Our approach utilizes adding and doubling, whi...

A new method to quantify motion or deformation of bony structures has been developed, since quantification is often difficult due to overlaying tissue, and the currently used roentgen stereophotogrammetry method requires significant investment. In our method, a single stationary roentgen source is used, as opposed to the usual two, which, in combination with a fixed radiogram cassette holder, f...

The class of Dirichlet series associated with a periodic arithmetical function $$f$$ includes the Riemann zeta-function as well $$L$$ -functions to residue characters. We study value-distribution these $$L(s;f)$$ and their analytic continuation in neighbourhood critical line (which is axis symmetry related Riemann-type functional equation). In particular, for fixed complex number $$a\neq 0$$...

A vegetation/atmosphere radiative transfer method is employed to study atmospheric effects in spectral vegetation indices. A one-dimensional turbid medium model of a vegetation canopy that includes specular reflection and the hot spot effect is used to calculate canopy bidirectional reflectance factors. These are then used to specify the lower boundary condition of the atmospheric radiative tra...