46 citations · 131 across the 15 of their papers we have counts for
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Validation of Symmetry Induced Bifurcation Points in Nonlinear Diffusion Problems
Maxime Breden, Evelyn Sander, Thomas Wanner
Nonlinear parabolic partial differential equations frequently occur in the modeling of applied phenomena. They often exhibit complicated dynamics which is organized by their associ…
Cyclic symmetry induced pitchfork bifurcations in the diblock copolymer model
Peter Rizzi, Evelyn Sander, Thomas Wanner
The Ohta-Kawasaki model for diblock copolymers exhibits a rich equilibrium bifurcation structure. Even on one-dimensional base domains the bifurcation set is characterized by high…
Equilibrium Validation for Triblock Copolymers via Inverse Norm Bounds for Fourth-Order Elliptic Operators
Peter Rizzi, Evelyn Sander, Thomas Wanner
Block copolymers play an important role in materials sciences and have found widespread use in many applications. From a mathematical perspective, they are governed by a nonlinear…
Birkhoff Averages and the Breakdown of Invariant Tori in Volume-Preserving Maps
J. D. Meiss, E. Sander
In this paper, we develop numerical methods based on the weighted Birkhoff average for studying two-dimensional invariant tori for volume-preserving maps. The methods do not rely o…
A Computer-Assisted Study of Red Coral Population Dynamics
Sayomi Kamimoto, Hye Kyung Kim, Evelyn Sander +1
We consider a 13-dimensional age-structured discrete red coral population model varying with respect to a fitness parameter. Our numerical results give a bifurcation diagram of bot…
Equilibrium Validation in Models for Pattern Formation Based on Sobolev Embeddings
Evelyn Sander, Thomas Wanner
In the study of equilibrium solutions for partial differential equations there are so many equilibria that one cannot hope to find them all. Therefore one usually concentrates on f…