Entropic Limit Analysis Applied to Radial Cavity Expansion Problems

Modified F-Expansion Method Applied to Coupled System of Equation

A modified F-expansion method to find the exact traveling wave solutions of  two-component nonlinear partial differential equations (NLPDEs) is discussed. We use this method to construct many new solutions to the nonlinear Whitham-Broer-Kaup system (1+1)-dimensional. The solutions obtained include Jacobi elliptic periodic wave solutions which exactly degenerate to the soliton solutions, triangu...

Problems in Applied Analysis

Let Ŷ be a sub-multiplicative plane. In [14], it is shown that X̂ (א0, . . . ,−1i) ∼ ⋂

Limit Problems for Interpolation by Analytic Radial Basis Functions

Interpolation by analytic radial basis functions like the Gaussian and inverse multiquadrics can degenerate in two ways: the radial basis functions can be scaled to become “increasingly flat”, or the data points “coalesce” in the limit while the radial basis functions stays fixed. Both cases call for a careful regularization. If carried out explicitly, this yields a preconditioning technique fo...

Rate of Convergence and Edgeworth-type Expansion in the Entropic Central Limit Theorem1 by Sergey

The Classical Limit of Entropic Quantum Dynamics

The framework of entropic dynamics (ED) allows one to derive quantum mechanics as an application of entropic inference. In this work we derive the classical limit of quantum mechanics in the context of ED. Our goal is to find conditions so that the center of mass (CM) of a system of N particles behaves as a classical particle. What is of interest is that ~ remains finite at all steps in the cal...