DOI: 10.1016/s0096-3003(99)00065-x. A collocation/quadrature-based Sturm

A collocation/quadrature-based Sturm–Liouville problem solver

10.1016/s0096-3003(99)00065-x

Crossref journal-article

Elsevier BV

Applied Mathematics and Computation (78)

Bibliography

Adomaitis, R. A., & Lin, Y. (2000). A collocation/quadrature-based SturmâLiouville problem solver. Applied Mathematics and Computation, 110(2â3), 205â223.

Authors 2

Raymond A. Adomaitis (first)
Yi-hung Lin (additional)

References 22 Referenced 10

10.1137/S1064827595282246 / SIAM J. Sci. Comput. / Unsteady two-dimensional flows in complex geometries: Comparative bifurcation studies with global eigenfunction expansions by Bangia (1997)
10.1145/155743.155791 / ACM Trans. Math. Software / Mathematical software for Sturm–Liouville problems by Pruess (1993)
D. Hinton, P.W. Schaefer, (Eds.), Spectral Theory and Computational Methods of Sturm–Liouville Problems, Lecture Notes in Pure and Applied Mathematics 191 Marcel Dekker, New York, 1997
J.D. Pryce, Numerical Solution of Sturm–Liouville Problems, Oxford University Press, Oxford, UK, 1994
10.1016/0168-9274(95)00067-5 / Appl. Num. Math. / A modified difference scheme for periodic and semiperiodic Sturm–Liouville problems by Vanden Berghe (1995)
A.H. Stroud, Numerical Quadrature and the Solution of Ordinary Differential Equations, Applied Mathematical Science Series, Vol. 10, Springer-Verlag, New York, 1974 (10.1007/978-1-4612-6390-6)
10.1016/0009-2509(67)80074-5 / Chem. Engng Sci. / Solution of boundary-value problems by orthogonal collocation by Villadsen (1967)
10.1016/0300-9467(72)80054-6 / Chem. Eng. J. / A convenient computational procedure for collocation constants by Michelsen (1972)
J. Villadsen, M.L. Michelsen, Solution of Differential Equation Models by Polynomial Approximation, Int. Series in Phys. and Chem. Engng Sci. Prentice-Hall, Englewood Cliffs, NJ, 1978
Y.-h. Lin, H.-Y. Chang, R.A. Adomaitis, MWRtools: A library for weighted residual methods, ISR TR 98-24, 1998
R.G. Rice, D.D. Do, Applied Mathematics and Modeling for Chemical Engineers, Wiley, New York, 1995
R.A. Adomaitis, Y.-h. Lin, A technique for accurate collocation residual calculations, Chem. Engng J., 71 (1998) 127–134, also ISR TR 98-6, 1998
10.1137/1013092 / SIAM Rev. / Survey of extrapolation processes in numerical analysis by Joyce (1971)
M. Jakob, Heat Transfer, Wiley, New York, 1949
W.H. Ray, Advanced Process Control, Chemical Engineering Series, McGraw-Hill, New York, 1981
10.1137/S1064827594272797 / SIAM J. Sci. Comput. / A fast adaptive numerical method for stiff two-point boundary-value problems by Lee (1997)
10.1137/S0036144596301390 / SIAM Rev. / On the Gibbs phenomenon and its resolution by Gottlieb (1997)
H.-Y. Chang, R.A. Adomaitis, Analysis of heat transfer in a chemical vapor deposition reactor: An eigenfunction expansion solution approach, Int. J. Heat and Fluid Flow, 20 (1999) 74–83, also ISR TR 97-84, 1997 (10.1016/S0142-727X(98)10042-5)
H.Y. Chang, R.A. Adomaitis, Model reduction for a tungsten chemical vapor deposition system, Proc. DYCOPS-5 Corfu, Greece, 35–40, also ISR TR 98-28, 1998 (10.1109/ACC.1998.707033)
H.-Y., Chang, Y.-h. Lin, R.A. Adomaitis, Statistically-determined trial functions for RTCVD system model reduction and simulation, AIChE Annual Meeting Los Angeles, 1997
10.1002/aic.690440711 / AIChE J. / Non-linear model reduction for feedback control of distributed parameter systems: A computer-assisted study by Shvartsman (1998)
R.A. Adomaitis, Software and other teaching tools applied to modeling and analysis of distributed parameter systems, Proc. ASEE Regional Conf., Wilmington, DE, Oct. 1997

Dates

Type	When
Created	22 years, 4 months ago (April 4, 2003, 12:33 p.m.)
Deposited	6 years, 4 months ago (April 15, 2019, 3:52 a.m.)
Indexed	3 years, 2 months ago (June 8, 2022, 1:10 p.m.)
Issued	25 years, 4 months ago (April 1, 2000)
Published	25 years, 4 months ago (April 1, 2000)
Published Print	25 years, 4 months ago (April 1, 2000)

Funders 0

None

BibTeX

@article{Adomaitis_2000, title={A collocation/quadrature-based Sturm–Liouville problem solver}, volume={110}, ISSN={0096-3003}, url={http://dx.doi.org/10.1016/s0096-3003(99)00065-x}, DOI={10.1016/s0096-3003(99)00065-x}, number={2–3}, journal={Applied Mathematics and Computation}, publisher={Elsevier BV}, author={Adomaitis, Raymond A. and Lin, Yi-hung}, year={2000}, month=apr, pages={205–223} }

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