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math.NA2021★ 2 cited
Extrapolating the Arnoldi Algorithm To Improve Eigenvector Convergence
Sara Pollock, L. Ridgway Scott
We consider extrapolation of the Arnoldi algorithm to accelerate computation of the dominant eigenvalue/eigenvector pair. The basic algorithm uses sequences of Krylov vectors to fo…
math.NA2019
An Adaptive Savitsky-Golay Filter for Smoothing Finite Element Computation
Teodoro Collin, Gordon Kindlmann, L. Ridgway Scott
The smoothing technique of Savitzky and Golay is extended to data defined on multidimensional meshes. A smoothness-increasing accuracy-conserving (SIAC) filter is defined that is s…