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

Bernard Bialecki; Ryan I. Fernandes

doi:10.1090/S0025-5718-1993-1176704-7

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

Bernard Bialecki, Ryan I. Fernandes

Mathematics

University of Kentucky

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

A complete stability and convergence analysis is given for two- and three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified 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.

Original language	British English
Pages (from-to)	545-573
Number of pages	29
Journal	Mathematics of Computation
Volume	60
Issue number	202
DOIs	https://doi.org/10.1090/S0025-5718-1993-1176704-7
State	Published - Apr 1993

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title = "Orthogonal spline collocation laplace-modified and alternating-direction methods for parabolic problems on rectangles",

abstract = "A complete stability and convergence analysis is given for two- and three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified 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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AU - Fernandes, Ryan I.

PY - 1993/4

Y1 - 1993/4

N2 - A complete stability and convergence analysis is given for two- and three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified 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.

AB - A complete stability and convergence analysis is given for two- and three-level, piecewise Hermite bicubic orthogonal spline collocation, Laplacemodified 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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U2 - 10.1090/S0025-5718-1993-1176704-7

DO - 10.1090/S0025-5718-1993-1176704-7

M3 - Article

AN - SCOPUS:84968468426

SN - 0025-5718

VL - 60

SP - 545

EP - 573

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 202

ER -

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

Abstract

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