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math.NA2026
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…
math.NA2026
The modulated Fourier expansion for waves propagating through time-modulated media
Jörg Nick
Controlling waves by actively changing the material parameters of a medium enables the development of new acoustic and electrical devices. Modulating the material breaks classical…
math.NA2025
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…