Abstract: We present a novel approach to solving the advection equation under arbitrary velocity fields using a quantuminspired ‘Schrödingerisation’ technique for Hamiltonian simulation. Although ...

The code below implements an example of a simplified advection-reaction system, meant to represent an air pollution model. (A larger-scale version is here.) The code above implements a version of the ...

ABSTRACT: A system of ordinary differential equations (ODEs) is produced by the semi-discretize method of discretizing the advection diffusion equation (ADE). Runge-Kutta methods of the second and ...

Lab of Nonlinear Dynamical Systems, V.I. Il’ichev Pacific Oceanological Institute of the Russian Academy of Sciences, Vladivostok, Russia The Lagrangian approach (LA) in ocean modelling relies on a ...

New research details an intriguing new way to solve "unsolvable" algebra problems that go beyond the fourth degree – something that has generally been deemed impossible using traditional methods for ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...

WILMINGTON, N.C. (WECT) - From episode twenty-two of Shootin’ the Breeze: Gannon digs into the science of advection fog, a special kind of fog common to the Cape Fear Region that could spoil your ...

All the tech we rely on, from cars to smartphones, was engineered using physics. You don’t need to know the science to use these things. But a well-rounded human should understand at least some of the ...

Abstract: In this paper, the state estimation of distributed parameter systems (PDEs) using the Modulating Function Method is extended to systems of two or higher spatial dimensions with spatially ...

In January, 1923, Lee Strasberg went to Al Jolson’s 59th Street Theatre to see “Tsar Fyodor Ivanovich,” a nineteenth-century Russian play about sixteenth-century Russian politics, performed, in ...