Pulsed-field gradient (PFG) diffusion experiments can be used to measure anomalous 7 diffusion in many polymer or biological systems. However, it is still complicated to analyze PFG 8 anomalous diffusion, particularly the finite gradient pulse width (FGPW) effect. In practical 9 applications, the FGPW effect may not be neglected such as in clinical diffusion magnetic resonance 10 imaging (MRI)....

The scope of the paper is the development of new methods for high dimensional numerical integration of unbounded functions, the solution of integral equations and the direct search for good lattice points in a grid environment. From the mathematical point of view we use the Zinterhof sequences for the removal of singularities by means of certain integral transforms. The algorithms for numerical...

The Schroeder's backward integration method and its applications have been widely studied in the literature; some papers analyze the performance of the method, some others suggest various enhancement techniques. In spite of these findings, there exist several cases where the energy decay curve extracted using the classical backward integration method and the parameters computed from it seem not...

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...