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- W2093840265 abstract "Harten's framework is a nonlinear generalization of the wavelet framework. Previously, the choice of discretization (scaling function) in Harten multiresolution schemes has been limited to point-value, cell-average, and hat-based discretization. This paper shows how to construct multiresolution schemes consistent with Harten's framework for a variety of discretizations. The construction here begins with the discrete operators and deduces the corresponding continuous operators, reversing the order of the usual approach. This construction yields as a special case essentially nonoscillatory (ENO) multiresolution schemes for any order of spline discretization and also has the flexibility to define multiresolution schemes with nonspline discretizations. An error-control strategy is also developed." @default.
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- W2093840265 date "2008-01-01" @default.
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- W2093840265 title "ENO Multiresolution Schemes with General Discretizations" @default.
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- W2093840265 doi "https://doi.org/10.1137/060663763" @default.
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