Browsing by Author "Van Veen, Lennaert"
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On matrix-free pseudo-arclength continuation methods applied to a nonlocal partial differential equation in 1+1D with pseudo-spectral time-stepping
Kovacic, Mitchell (2013-08-01)In this thesis we examine a recent animal aggregation model which describes the evolution of two populations of animals moving on a 1-dimensional spatial domain differing only by the direction they travel. The equations ... -
A parallel adaptive method for pseudo-arclength continuation
Dubitski, Alexander (2011-08-01)We parallelize the pseudo-arclength continuation method for solving nonlinear systems of equations. Pseudo-arclength continuation is a predictor-corrector method where the correction step consists of solving a linear system ...