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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Orthogonal spline collocation Laplace-modified and alternating-direction methods for parabolic problems on rectangles


Authors: Bernard Bialecki and Ryan I. Fernandes
Journal: Math. Comp. 60 (1993), 545-573
MSC: Primary 65N35; Secondary 65M12, 65M70, 65N12
MathSciNet review: 1176704
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Abstract: A complete stability and convergence analysis is given for two- and three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplace-modified and alternating-direction schemes for the approximate solution of linear parabolic problems on rectangles. It is shown that the schemes are unconditionally stable and of optimal-order accuracy in space and time.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1993-1176704-7
PII: S 0025-5718(1993)1176704-7
Article copyright: © Copyright 1993 American Mathematical Society