METHOD OF LINES TRANSPOSE: HIGH ORDER L-STABLE O(N) SCHEMES FOR PARABOLIC EQUATIONS USING SUCCESSIVE CONVOLUTION

We present a new solver for nonlinear parabolic problems that is L-stable and achieves high order accuracy in space and time. The solver is built by first constructing a one-dimensional heat equation solver that uses fast O(N) convolution. This fundamental solver has arbitrary order of accuracy in s...

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Veröffentlicht in:SIAM journal on numerical analysis 2016-01, Vol.54 (3), p.1635-1652
Hauptverfasser: CAUSLEY, MATTHEW F., CHO, HANA, CHRISTLIEB, ANDREW J., SEAL, DAVID C.
Format: Artikel
Sprache:eng
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