78 citations · 734 across the 47 of their papers we have counts for
4 papers · 1 filter
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$…
A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations
Andrew J. Christlieb, Xiao Feng, David C. Seal +1
We propose a high-order finite difference weighted ENO (WENO) method for the ideal magnetohydrodynamics (MHD) equations. The proposed method is single-stage, single-step, maintains…
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…
Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes
Andrew J. Christieb, Sigal Gottlieb, Zachary J. Grant +1
High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for the solution of hype…