Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Steven Pruess"'
Publikováno v:
Journal of Computational and Applied Mathematics. 212:194-213
A generalization is given for a characterization of the spectral density function of Weyl and Titchmarsh for a singular Sturm–Liouville problem having absolutely continuous spectrum in [0,∞). A recurrent formulation is derived that generates a fa
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e11c3cf0a5236b49747d93a2beb24afa
https://doi.org/10.1016/j.cam.2006.11.032
https://doi.org/10.1016/j.cam.2006.11.032
Publikováno v:
Journal of Computational and Applied Mathematics. 176(1):131-162
Algorithms for computing Sturm–Liouville spectral density functions are developed based on several mathematical characterizations. Convergence and error bounds are derived and methods are tested on several examples. The results are compared with th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::47ea4d94de2b4bda784068bd8d8f0b7a
Publikováno v:
Fluid Phase Equilibria. 185:31-43
A rate-based model was developed for the design of acid gas absorbers using aqueous alkanolamine solutions. The model adopts the film theory and assumes that thermodynamic equilibrium among the reacting species exists in the bulk liquid. The diffusio
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https://doi.org/10.1016/s0378-3812(01)00454-x
https://doi.org/10.1016/s0378-3812(01)00454-x
Autor:
Steven Pruess
Publikováno v:
Applied Numerical Mathematics. 34:127-141
In recent years several high quality Sturm–Liouville software packages have been written (e.g., SLEDGE, SLEIGN, the NAG routine SL02FM). All excel at providing eigenfunction estimates at a finite set of points but only the NAG routine provides inte
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https://explore.openaire.eu/search/publication?articleId=doi_________::dae2e7ae30fd47075ee720f0bde9d061
https://doi.org/10.1016/s0168-9274(99)00041-0
https://doi.org/10.1016/s0168-9274(99)00041-0
Autor:
Steven Pruess, Charles T. Fulton
Publikováno v:
ACM Transactions on Mathematical Software. 24:107-129
The software package SLEDGE has as one of its options the estimation of spectral density functions p(t) for a wide class of singular Strurm-Liouville problems. In this article the underlaying theory and implementation issues are discussed. Several ex
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https://explore.openaire.eu/search/publication?articleId=doi_________::cf79fc470cebda1dd0828fc7f3eea9c9
https://doi.org/10.1145/285861.285867
https://doi.org/10.1145/285861.285867
Autor:
Hongsung Jin, Steven Pruess
Publikováno v:
SIAM Journal on Numerical Analysis. 35:363-375
A local collocation scheme for solutions of first-order systems of linear two-point boundary value problems is developed that preserves uniformly the superconvergent accuracy at meshpoints achieved by collocation at Gauss points over piecewise polyno
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https://explore.openaire.eu/search/publication?articleId=doi_________::ed750183b8121013adc5175a6fdd7d52
https://doi.org/10.1137/s0036142996297205
https://doi.org/10.1137/s0036142996297205
Characterization of the spectral density function for a one-sided tridiagonal Jacobi matrix operator
In this paper we give a first order system of difference equations which provides a useful companion system in the study of Jacobi matrix operators and make use of it to obtain a characterization of the spectral density function for a simple case inv
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https://explore.openaire.eu/search/publication?articleId=doi_________::1ed55e3200fe418050c8357be0f6dc27
https://doi.org/10.3934/proc.2013.2013.247
https://doi.org/10.3934/proc.2013.2013.247
In this paper we consider the Sturm-Liouville equation -y"+qy = lambda*y on the half line (0,infinity) under the assumptions that x=0 is a regular singular point and nonoscillatory for all real lambda, and that either (i) q is L_1 near x=infinity, or
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::304ea156a48b16dde89bf549a6146f2b
Publikováno v:
ACM Transactions on Mathematical Software. 22:423-446
We describe the performance of the Sturm-Liouville software package SLEDGE on a variety of problems having continuous spectra. The code's output is shown to be in good accord with a wide range of known theoretical results.
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https://explore.openaire.eu/search/publication?articleId=doi_________::9cfb0345a5805db764916cfd686f38ec
https://doi.org/10.1145/235815.235819
https://doi.org/10.1145/235815.235819
Autor:
Steven Pruess, Charles T. Fulton
Publikováno v:
Journal of Mathematical Analysis and Applications. 203:518-539
As one of its options the software package SLEDGE estimates Sturm–Liouville spectral density functions for problems having continuous spectrum. This paper contains the error analysis underlying SLEDGE's approximations: error bounds, Richardson's ex
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f3b0f702b1d173d69d34b7d2c4ac2d2
https://doi.org/10.1006/jmaa.1996.0394
https://doi.org/10.1006/jmaa.1996.0394