289 citations
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Showing 2015 · math.NAShow all
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math.NA2015★ 1 cited
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$…
math.NA2015★ 5 cited
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…