Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues. The trajectory of a storm ...

Adequate mathematical modeling is the key to success for many real-world projects in engineering, medicine, and other applied areas. Once a well-suited model is established, it can be thoroughly ...

ABSTRACT: Normalizable analytic solutions of the quantum rotor problem with divergent potential are presented here as solution of the Schrödinger equation. These solutions, unknown to the literature, ...

Abstract: Simulation and control of many dynamic systems involve solving partial differential equations (PDE). This letter proposes a semi-analytical solution (SAS) approach for fast and high-quality ...

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The sweeping order is a first step as the Biden administration seeks to put guardrails on a global technology that offers great promise but also carries significant dangers. By Cecilia Kang and David ...

You can thank Oliver Heaviside (actually a short, thin man), for the telegrapher’s equations (or just telegraph equations). These are probably better known as the transmission line equations. They are ...

ABSTRACT: An extension of Shrödinger’s quantization on the space (x, p), where the Hamiltonian approach is needed, is made on the space (x, v) where the Hamiltonian approach is not needed at all. The ...