V
Vera Thümmler
Researcher at Bielefeld University
Publications - 14
Citations - 338
Vera Thümmler is an academic researcher from Bielefeld University. The author has contributed to research in topics: Eigenvalues and eigenvectors & Numerical analysis. The author has an hindex of 10, co-authored 14 publications receiving 323 citations.
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Journal ArticleDOI
Freezing Solutions of Equivariant Evolution Equations
Wolf-Jürgen Beyn,Vera Thümmler +1 more
TL;DR: Numerical methods for integrating general evolution equations u t = F(u), $u(0)=u 0, where F is defined on a dense subspace of some Banach space and is equivariant with respect to the action of a finite-dimensional Lie group.
Book ChapterDOI
Continuation of Low-Dimensional Invariant Subspaces in Dynamical Systems of Large Dimension
TL;DR: In this paper, a continuation method for low-dimensional invariant subspaces of a parameterized family of large and sparse real matrices is presented, where the continued spectral subset does not collide with another eigenvalue.
Journal ArticleDOI
Grassmannian spectral shooting
TL;DR: A new numerical method for computing the pure-point spectrum associated with the linear stability of coherent structures and avoids representation singularities by, in practice, choosing the best coordinate patch representation for the flow as it evolves.
Journal ArticleDOI
Computing stability of multi-dimensional travelling waves
TL;DR: A numerical method for computing the pure-point spectrum associated with the linear stability of multidimensional traveling fronts to parabolic nonlinear systems and studies the stability of two-dimensional wrinkled front solutions to a cubic autocatalysis model system.
Book ChapterDOI
Phase Conditions, Symmetries and PDE Continuation
Wolf-Jürgen Beyn,Vera Thümmler +1 more
TL;DR: In this article, the authors discuss the usefulness of phase conditions for the numerical analysis of finite and infinite-dimensional dynamical systems that have continuous symmetries and present an abstract framework for evolution equations that are equivariant with respect to the action of a (not necessarily compact) Lie group.