14 citations · 20 across the 9 of their papers we have counts for
4 papers · 1 filter
Error Control for Exponential Integration of the Master Equation
Katharina Kormann, Shev MacNamara
Error estimates for the numerical solution of the master equation are presented. Estimates are based on adjoint methods. We find that a good estimate can often be computed without…
Robustness analysis of spatiotemporal models in the presence of extrinsic fluctuations
Andreas Hellander, Jan Klosa, Per Lötstedt +1
We analyze the governing partial differential equations of a model of pole-to-pole oscillations of the MinD protein in a bacterial cell. The sensitivity to extrinsic noise in the p…
A Local Inverse Formula and a Factorization
Gilbert Strang, Shev MacNamara
When a matrix has a banded inverse there is a remarkable formula that quickly computes that inverse, using only local information in the original matrix. This local inverse formula…
Fractional Euler Limits and Their Applications
Shev MacNamara, Bruce I Henry, William McLean
Generalisations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connecti…