Practical Implementation of Krylov Subspace Spectral Methods |
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Authors: | James V Lambers |
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Affiliation: | (1) Department of Energy Resources Engineering, Stanford University, Stanford, CA 94305-2220, USA |
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Abstract: | Krylov subspace spectral methods have been shown to be high-order accurate in time and more stable than explicit time-stepping
methods, but also more difficult to implement efficiently. This paper describes how these methods can be fashioned into practical
solvers by exploiting the simple structure of differential operators Numerical results concerning accuracy and efficiency
are presented for parabolic problems in one and two space dimensions. |
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Keywords: | Lanczos method Spectral methods Gaussian quadrature |
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