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5 papers · 1 filter
On the convergence of spectral deferred correction methods
Mathew F. Causley, David C. Seal
In this work we analyze the convergence properties of the Spectral Deferred Correction (SDC) method originally proposed by Dutt et al. [BIT, 40 (2000), pp. 241--266]. The framework…
Method of lines transpose: Energy gradient flows using direct operator inversion for phase field models
Matthew Causley, Hana Cho, Andrew Christlieb
In this work, we develop an implicit real space method in 1D and 2D for the Cahn Hilliard (CH) and vector Cahn Hilliard (VCH) equations, based on the Method Of Lin…
Method of lines transpose: an efficient A-stable solver for wave propagation
Matthew Causley, Andrew Christlieb, Eric Wolf
Building upon recent results obtained in [7,8,9], we describe an efficient second order, A-stable scheme for solving the wave equation, based on the method of lines transpose (MOL$…
Method of lines transpose: High order L-stable O(N) schemes for parabolic equations using successive convolution
Matthew F. Causley, Hana Cho, Andrew J. Christlieb +1
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 single-dim…
On principal minors of Bezout matrix
Ruben Airapetyan
Let be real numbers, , and be a polynomial of degree less than or equal to . Denote by the matrix of generalized divided…