From the 2 of 4 linked papers with an AI index.
4 papers
Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
Balázs Kovács, Buyang Li, Christian Lubich
The paper introduces and analyzes structure‑preserving finite element methods that use Lagrange multipliers to enforce energy‑decreasing behavior in numerical simulations of mean c…
Matrix nearness problems and eigenvalue optimization
Nicola Guglielmi, Christian Lubich
The book develops algorithms for matrix nearness problems that adjust eigenvalues, singular values, or pseudospectra by using optimal rank‑1 perturbations, employing a two‑level it…
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…
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…