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2009 WRI World Congress on Computer Science and Information Engineering
Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations
Los Angeles, California USA
March 31-April 02
ISBN: 978-0-7695-3507-4
For the anisotropic parabolic equations, we introduce a multilevel wavelet-like block incremental unknowns(WBIU) method and then, based on this new method, we construct a WBIU-type Crank-Nicholson scheme. The stability of this scheme is carefully studied. The numerical results show that the condition number of the coefficient matrix of the linear system correspond to this scheme is reduced efficiently for ε small, and these results also validate the stability of this new scheme.
Index Terms:
Incremental unknowns, anisotropic parabolic equations, block matrix
Citation:
Yu-Jiang Wu, Ai-Li Yang, Lun-Ji Song, "Wavelet-Like Block Incremental Unknowns for Numerical Computation of Anisotropic Parabolic Equations," csie, vol. 2, pp.550-554, 2009 WRI World Congress on Computer Science and Information Engineering, 2009
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