1 citations · 1 across the 6 of their papers we have counts for
8 papers · 1 filter
Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
Balázs Kovács, Buyang Li, Christian Lubich
We propose and analyze a class of evolving surface finite element methods for mean curvature flow of closed surfaces using Lagrange multipliers for preserving the energy-decreasing…
Matrix nearness problems and eigenvalue optimization
Nicola Guglielmi, Christian Lubich
This book is about solving matrix nearness problems that are related to eigenvalues or singular values or pseudospectra. These problems arise in great diversity in various fields,…
Regularized dynamical parametric approximation of stiff evolution problems
Christian Lubich, Jörg Nick
Evolutionary deep neural networks have emerged as a rapidly growing field of research. This paper studies numerical integrators for such and other classes of nonlinear parametrizat…
Regularized dynamical parametric approximation
Michael Feischl, Caroline Lasser, Christian Lubich +1
This paper studies the numerical approximation of evolution equations by nonlinear parametrizations $u(t)=Φ(\param(t))$ with time-dependent parameters $\param(t)$, which are to be…
Transient dynamics under structured perturbations: bridging unstructured and structured pseudospectra
Christian Lubich, Nicola Guglielmi
The structured -stability radius is introduced as a quantity to assess the robustness of transient bounds of solutions to linear differential equations under structure…
Numerical analysis of an evolving bulk--surface model of tumour growth
Dominik Edelmann, Balázs Kovács, Christian Lubich
This paper studies an evolving bulk--surface finite element method for a model of tissue growth, which is a modification of the model of Eyles, King and Styles (2019). The model co…
Time-dependent electromagnetic scattering from dispersive materials
Jörg Nick, Selina Burkhard, Christian Lubich
This paper studies time-dependent electromagnetic scattering from metamaterials that are described by dispersive material laws. We consider the numerical treatment of a scattering…
Runge-Kutta time discretization of nonlinear parabolic equations studied via discrete maximal parabolic regularity
Peer C. Kunstmann, Buyang Li, Christian Lubich
For a large class of fully nonlinear parabolic equations, which include gradient flows for energy functionals that depend on the solution gradient, the semidiscretization in time b…