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- 1Biorthogonal and orthogonal multiwavelets
- 1Boundary wavelets
- 1Bounded interval
- 1Compact finite difference method
- 1Dirac assisted tree (DAT) method
- 1Fourier series
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Fall 2022
The Helmholtz equation is a fundamental wave propagation model in the time-harmonic setting, which appears in many applications such as electromagnetics, geophysics, and ocean acoustics. It is challenging and computationally expensive to solve due to (1) its highly oscillating solution and (2)...
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Fall 2017
One main goal of this thesis is to bring forth a systematic and simple construction of a multiwavelet basis on a bounded interval. The construction that we present possesses orthogonality in the derivatives of the multiwavelet basis among all scale levels. Since we are mainly interested in Riesz...
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