A filtering integration scheme is developed, using a modification of the contour
used to invert the Laplace transform (LT). It is shown to eliminate components
with frequencies higher than a specified cut-off value. Thus ...
Formulae for the levels and sublevels of certain quaternion and octonion algebras are established. Corollaries concerning the equality of levels and sublevels of quaternion algebras with those of associated octonion algebras ...
In this paper we combine the Laplace transform (LT) scheme with a semi-
Lagrangian advection scheme, and implement it in a shallow water model. It
is compared to a reference model using the semi-implicit (SI) scheme, ...
The dynamics of non-divergent flow on a rotating sphere are described by the conservation of absolute vorticity. The
analytical study of the non-linear barotropic vorticity equation is greatly facilitated by the expansion ...
Remarkable advances in weather forecasts
during the past half-century
have brought great benefits to humanity.
Accurate forecasts save many
lives, and early warnings mitigate
the worst effects of extreme weather
events, ...
We present a new method of reducing the error in predicted wind speed, thus enabling better management of wind energy
facilities. A numerical weather prediction model, COSMO, was used to produce 48 h forecast data every ...
Given that one of the children in a two-child family is a boy, what are the chances that the other is also a boy. The intuitive answer is 50 : 50. More careful investigation leads us to a 1-in-3 chance. We investigate ...
Fisher's linear discriminant analysis is one of the most commonly used and studied classification methods in chemometrics. The method finds a projection of multivariate data into a lower dimensional space so that the groups ...
Seven adaptive approaches to post-processing wind speed forecasts are discussed and compared. 48-hour forecasts are run at horizontal resolutions of 7 km and 3 km for a domain centred over Ireland. Forecast wind speeds ...
In 1976 Procesi and Schacher developed an Artin–Schreier type theory for central simple algebras with involution and conjectured that in such an algebra a totally positive element is always a sum of hermitian squares. In ...