31 citations · 118 across the 16 of their papers we have counts for
4 papers · 1 filter
Schur Decomposition for Stiff Differential Equations
Thoma Zoto, John C. Bowman
A quantitative definition of numerical stiffness for initial value problems is proposed. Exponential integrators can effectively integrate linearly stiff systems, but they become e…
Hybrid Dealiased Convolutions
Robert Joseph George, Noel Murasko, John C. Bowman
This paper proposes a practical and efficient solution for computing convolutions using hybrid dealiasing. It offers an alternative to explicit or implicit dealiasing and includes…
Robust Exponential Runge-Kutta Embedded Pairs
Thoma Zoto, John C. Bowman
Exponential integrators are explicit methods for solving ordinary differential equations that treat linear behaviour exactly. The stiff-order conditions for exponential integrators…
Hybrid Dealiasing of Complex Convolutions
Noel Murasko, John C. Bowman
Efficient algorithms for computing linear convolutions based on the fast Fourier transform are developed. A hybrid approach is described that combines the conventional practice of…