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Matrices for well-conditioned biorthogonal spline wavelet bases on the interval

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Zenodo2020-07-29 更新2026-05-25 收录
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Refinement matrices for the wavelet bases described in Chapter 2 of the thesis "Adaptive tensor product wavelet methods for solving PDEs" (T.J. Dijkema, 2009). Each directory of this data set contains the following matrices (in Matrix Market format): <strong>m</strong>-<em>j</em>: two-scale matrix on level <em>j</em> (thesis p.12) <strong>mass</strong>-<em>j</em>: mass matrix on level <em>j</em> <strong>r</strong>-<em>j</em>, <strong>tr</strong>-<em>j</em>, <strong>trinit</strong>-<em>j</em>: transformation matrix R_<em>j</em>, \tilde{R}_<em>j</em>, \tilde{R}_<em>j</em>^{init} (thesis p.24-25) The directory names are {d}-{td}-{ml}-{mr}-{tml}-{tmr} where: <strong>d</strong>: Jackson estimate on primal side <strong>td</strong>: Jackson estimate on dual side <strong>ml</strong> / <strong>mr</strong>: number of vanishing moments on left/right boundary, primal side <strong>tml</strong> / <strong>tmr</strong>: number of vanishing moments on left/right boundary, dual side

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Zenodo
创建时间:
2019-04-16
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