SciELO

Derivation of the Schrödinger equation II: Boltzmann’s entropy

In a previous paper, we have mathematically derived the Schrödinger equation using the construct of a Characteristic Function. We have shown that this derivation has a great number of consequences and ...
SciELO

Derivation of the Schrödinger equation III: the Central Limit Theorem

In this paper, we show that the Central Limit Theorem is deeply ingrained in the mathematical and physical structure of Quantum Mechanics. We show, furthermore, that the Central Limit Theorem provides ...
IEEE

Zero-stable Multistep formulas with equally spaced off-grid points for second-order differential equations: Derivation and Analysis

Abstract: This paper focuses on using zero-stable multistep formulae with evenly spaced off-grid points to numerically simulate differential equations originating from applied mathematics and ...
IEEE

Derivation of the Catenary Equation for a Conductor in an Inclined Span Based on the Parabolic Approximation

Abstract: Deriving a parabola from a catenary is a widely known mathematical method; however, the inverse problem deriving a catenary from a parabola- represents a novel contribution in the ...