64 citations · 250 across the 24 of their papers we have counts for
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math.NA2017★ 5 cited
Computing Evans functions numerically via boundary-value problems
Blake Barker, Rose Nguyen, Björn Sandstone +2
The Evans function has been used extensively to study spectral stability of travelling-wave solutions in spatially extended partial differential equations. To compute Evans functio…
math.NA2014★ 1 cited
Numerical proof of stability of roll waves in the small-amplitude limit for inclined thin film flow
Blake Barker
We present a rigorous numerical proof based on interval arithmetic computations categorizing the linearized and nonlinear stability of periodic viscous roll waves of the KdV-KS equ…
math.NA2010★ 8 cited
A numerical stability investigation of strong ZND detonations for Majda's model
Blake Barker, Kevin zumbrun
We carry out a systematic numerical stability analysis of ZND detonations of Majda's model with Arrhenius-type ignition function, a simplified model for reacting flow, as heat rele…