3 papers
math.NA2023
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…
physics.comp-ph2023
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…
cs.CE2010
Efficient Dealiased Convolutions without Padding
John C. Bowman, Malcolm Roberts
Algorithms are developed for calculating dealiased linear convolution sums without the expense of conventional zero-padding or phase-shift techniques. For one-dimensional in-place…