15 citations · 21 across the 5 of their papers we have counts for
7 papers
The Gamma Function via Interpolation
Matthew F Causley
A new computational framework for evaluation of the gamma function over the complex plane is developed. The algorithm is based on interpolation by rational functions, and ge…
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…
Higher order A-stable schemes for the wave equation using a recursive convolution approach
Matthew F. Causley, Andrew J. Christlieb
In several recent works \cite{Causley2013a}, \cite{Causley2013}, we developed a new second order, A-stable approach to wave propagation problems based on the method of lines transp…
Method of Lines Transpose: A Fast Implicit Wave Propagator
Matthew F. Causley, Andrew J. Christlieb, Yaman Guclu +1
As a follow up to \cite{Causley2013}, we provide a detailed description of the numerical implementation of an O(N), A-stable, second order accurate solution of the wave equation, c…