"Adaptive wavelet methods - Matrix-vector multiplication"@en . . "Rhodes, GREECE" . "Adaptive wavelet methods - Matrix-vector multiplication" . . . "2"^^ . "0094-243X" . . "Adaptive wavelet methods - Matrix-vector multiplication"@en . "RIV/46747885:24510/12:#0001008" . "Fin\u011Bk, V\u00E1clav" . . . "http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4771823" . "2"^^ . . "5"^^ . "P(1M06047)" . . "121065" . "INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2009 (ICCMSE 2009)" . . "\u010Cern\u00E1, Dana" . . "AMER INST PHYSICS, 2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA" . "10.1063/1.4771823" . "2009-09-09+02:00"^^ . "Adaptive methods; wavelet; elliptic partial differential equations; matrix-vector multiplication"@en . "The design of most adaptive wavelet methods for elliptic partial differential equations follows a general concept proposed by A. Cohen, W. Dahmen and R. DeVore in [3, 4]. The essential steps are: transformation of the variational formulation into the well-conditioned infinite-dimensional l 2 problem, finding of the convergent iteration process for the l 2 problem and finally derivation of its finite dimensional version which works with an inexact right hand side and approximate matrix-vector multiplications. In our contribution, we shortly review all these parts and wemainly pay attention to approximate matrix-vector multiplications. Effective approximation of matrix-vector multiplications is enabled by an off-diagonal decay of entries of the wavelet stiffness matrix. We propose here a new approach which better utilize actual decay of matrix entries." . "RIV/46747885:24510/12:#0001008!RIV14-MSM-24510___" . . . "[E7977B7AB76C]" . . "MELVILLE, NY 11747-4501 USA" . . . . "24510" . "317113600125" . . "The design of most adaptive wavelet methods for elliptic partial differential equations follows a general concept proposed by A. Cohen, W. Dahmen and R. DeVore in [3, 4]. The essential steps are: transformation of the variational formulation into the well-conditioned infinite-dimensional l 2 problem, finding of the convergent iteration process for the l 2 problem and finally derivation of its finite dimensional version which works with an inexact right hand side and approximate matrix-vector multiplications. In our contribution, we shortly review all these parts and wemainly pay attention to approximate matrix-vector multiplications. Effective approximation of matrix-vector multiplications is enabled by an off-diagonal decay of entries of the wavelet stiffness matrix. We propose here a new approach which better utilize actual decay of matrix entries."@en . "Adaptive wavelet methods - Matrix-vector multiplication" . . .