An alternating direction implicit method for orthogonal spline collocation linear systems |
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Authors: | Bernard Bialecki |
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Affiliation: | (1) Department of Mathematics, University of Kentucky, 40506 Lexington, KY, USA |
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Abstract: | Summary An Alternating Direction Implicit method is analyzed for the solution of linear systems arising in high-order, tensor-product orthogonal spline collocation applied to some separable, second order, linear, elliptic partial differential equations in rectangles. On anNxN partition, with Jordan's selection of the acceleration parameters, the method requiresO(N2 ln2N) arithmetic operations to produce an approximation whose accuracy, in theH1-norm, is that of the collocation solution. |
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Keywords: | 65N35 65F10 |
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