Towards Scalable Automatic Exploration of Bifurcation Diagrams for Large-Scale Applications

DOI10.1007/978-3-030-55874-1_97zbMath1479.37084OpenAlexW3157975280MaRDI QIDQ5152898

Wim Vanroose, Rebekka-Sarah Hennig, Jonas Thies, Michiel Wouters

Publication date: 27 September 2021

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-55874-1_97

zbMATH Keywords

Newton-Krylov methodsbifurcation analysislarge-scale dynamical systems

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Uses Software

• PETSc
• Trilinos
• LOCA
• NumPy
• PyNCT

Cites Work

• Unnamed Item
• Numerical bifurcation analysis of the pattern formation in a cell based auxin transport model
• The symmetry perspective. From equilibrium to chaos in phase space and physical space
• Numerical bifurcation analysis of a 3D Turing-type reaction-diffusion model
• An overview of the Trilinos project
• PHIST
• Automatic Exploration Techniques of Numerical Bifurcation Diagrams Illustrated by the Ginzburg--Landau Equation
• Numerical Bifurcation Methods and their Application to Fluid Dynamics: Analysis beyond Simulation
• Solving General Auxin Transport Models with a Numerical Continuation Toolbox in Python: PyNCT

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