Automatic Exploration Techniques of Numerical Bifurcation Diagrams Illustrated by the Ginzburg--Landau Equation

M Wouters, W Vanroose - SIAM Journal on Applied Dynamical Systems, 2019 - SIAM
This paper considers the extreme type-II Ginzburg--Landau equations, a nonlinear PDE
model that describes the states of a wide range of superconductors. For two-dimensional …

Automatic exploration techniques for the numerical continuation of large-scale nonlinear systems

M Wouters - 2019 - repository.uantwerpen.be
Dynamische systemen vormen een belangrijke klasse van wiskundige modellen, ze laten
ons toe om veel fenomenen uit de fysica, chemie, biologie en zelfs economie te bestuderen …

Towards scalable automatic exploration of bifurcation diagrams for large-scale applications

J Thies, M Wouters, RS Hennig, W Vanroose - … and Advanced Applications …, 2020 - Springer
The Trilinos library LOCA (http://www. cs. sandia. gov/LOCA/) allows computing branches of
steady states of large-scale dynamical systems like (discretized) nonlinear PDEs. The core …

Automatic exploration techniques for the numerical bifurcation study of the Ginzburg-Landau equation

M Wouters, W Vanroose - arXiv preprint arXiv:1903.02377, 2019 - arxiv.org
This paper considers the extreme type-II Ginzburg-Landau equations, a nonlinear PDE
model that describes the states of a wide range of superconductors. For two-dimensional …

[PDF][PDF] Numerical analysis of pattern formation in auxin transport models

D Draelants - 2016 - repository.uantwerpen.be
Knowledge about the growth process of plants and how it is affected by different stimuli is
very important because it can have an immediate impact on the productivity and can …