Adaptive High-Order Finite-Difference Method for Nonlinear Wave Problems
Journal of Scientific Computing
Algorithm 929: A suite on wavelet differentiation algorithms
ACM Transactions on Mathematical Software (TOMS)
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The differentiation matrix for a Daubechies-based wavelet basis defined on an interval is constructed. It is shown that the differentiation matrix based on the currently available boundary constructions does not maintain the superconvergence encountered under periodic boundary conditions.