31 citations · 118 across the 16 of their papers we have counts for
16 papers
Hybrid Dealiasing and Implicit Packing for Real Convolutions
Noel Murasko, John C. Bowman
Hybrid dealiasing is an FFT-based method for computing linear convolutions of complex-valued data that reduces the cost of dealiasing by performing zero padding implicitly. We deve…
Bounds on the Global Attractor of 2D Incompressible Turbulence in the Palinstrophy-Enstrophy-Energy Space
Pedram Emami, John C. Bowman
Analytic bounds on the projection of the global attractor of 2D incompressible turbulence in the palinstrophy--enstrophy plane [Dascaliuc, Foias, and Jolly 2005, 2010] are observed…
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…