Now showing items 1-10 of 14
Hyperviscous shock layers and diffusion zones: Monotonicity, spectral viscosity, and pseudospectral methods for very high order differential equations
(Kluwer Academic Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 1994-03)
We solve two problems of x ∈[−∞, ∞] for arbitrary order j . The first is to compute shock-like solutions to the hyperdiffusion equation, u 1=(−1) j +1 u 2j,x . The second is to compute similar solutions to the stationary ...
The algebraic decay of equatorial Rossby waves in a shear flow
(Elsevier, 1987-09)
Through numerical integration, we show that equatorial Rossby waves, like their midlatitude counterparts, decay algebraically in the limit t --> [infinity] in a linear shear flow. For small times, the growth expected ...
Exponentially convergent Fourier-Chebshev quadrature schemes on bounded and infinite intervals
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 1987-06)
The Clenshaw-Curtis method for numerical integration is extended to semi-infinite ([0, ∞] and infinite [-∞, ∞] intervals. The common framework for both these extensions and for integration on a finite interval is ...
Chebyshev domain truncation is inferior to fourier domain truncation for solving problems on an infinite interval
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 1988-06)
“Domain truncation” is the simple strategy of solving problems on yε [-∞, ∞] by using a large but finite computational interval, [ − L, L ] Since u(y) is not a periodic function, spectral methods have usually employed a ...
Mapping freeze/thaw boundaries with SMMR data
(Elsevier, 1990-08)
Nimbus 7 SMMR data are used to map daily freeze/thaw patterns in the upper Midwest for the fall of 1984. The combination of a low 37 GHz radiobrightness and a negative 10.7, 18 and 37 GHz spectral gradient, [part]Tb/[part]f, ...
Chebyshev pseudospectral method of viscous flows with corner singularities
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 1989-03)
Chebyshev pseudospectral solutions of the biharmonic equation governing two-dimensional Stokes flow within a driven cavity converge poorly in the presence of corner singularities. Subtracting the strongest corner singularity ...
Discrete and Continuous Representations of Unobserved Heterogeneity in Choice Modeling
(Kluwer Academic Publishers; Springer Science+Business Media, 1999-08)
We attempt to provide insights into how heterogeneity has been and can be addressed in choice modeling. In doing so, we deal with three topics: Models of heterogeneity, Methods of estimation and Substantive issues. In ...
The envelope of the error for trigonometric and Chebyshev interpolation
(Kluwer Academic Publishers-Plenum Publishers; Plenum Publishing Corporation ; Springer Science+Business Media, 1990-12)
The error in Chebyshev or Fourier interpolation is the product of a rapidly varying factor with a slowly varying modulation. This modulation is the “envelope” of the error. Because this slow modulation controls the amplitude ...