Rapid Approximate Calculation

On the Approximate Calculation of Double Integrals

Cubature formulas are obtained which are optimal or asymptotically optimal on given sets of functions. These formulas consist of line integrals which may be evaluated by optimal or asymptotically optimal quadrature formulas. The advantage of these formulas over the optimal and asymptotically optimal cubature formulas with rectangular-lattices of knots is shown.

Rapid Likelihood Calculation of Subspace

Rapid Calculation of Equatorial Rotation Curves

We derive a simple, fast one-dimensional integral for the equatorial rotation curve of a thin disk with surface density Σ(R) modeled as a spheroid with axis ratio q. The result is simpler than standard expressions even in the limit of an infinitely thin disk (q → 0). Subject headings: galaxies: kinematics and dynamics

Rapid calculation of seismic amplitudes: SHORT NOTE

The ability to calculate traveltimes and amplitutdes of seismic waves is useful for many reflection seismology applications such as migration and tomography. Traditionally, ray tracing (cerveny et al., 1977; Julian, 1977), paraxial methods (Claerbout, 1971), or full-wave methods (Alterman and Karal, 1968) are used for such calculations. These methods have in common considerable computational ex...

ROAST: Rapid Orthogonal Approximate Slepian Transform

In this paper, we provide a Rapid Orthogonal Approximate Slepian Transform (ROAST) for the discrete vector one obtains when collecting a finite set of uniform samples from a baseband analog signal. The ROAST offers an orthogonal projection which is an approximation to the orthogonal projection onto the leading discrete prolate spheroidal sequence (DPSS) vectors (also known as Slepian basis vect...