8 citations · 12 across the 9 of their papers we have counts for
11 papers
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…
The temporal domain derivative in inverse acoustic obstacle scattering
Marvin Knöller, Jörg Nick
This work describes and analyzes the domain derivative for a time-dependent acoustic scattering problem. We study the nonlinear operator that maps a sound-soft scattering object to…
A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
Théophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa +1
This work studies a posteriori error estimates and their use for time-dependent acoustic scattering problems, formulated as a time-dependent boundary integral equation based on a s…
Enhanced Anomaly Detection for Capsule Endoscopy Using Ensemble Learning Strategies
Julia Werner, Christoph Gerum, Jorg Nick +4
Capsule endoscopy is a method to capture images of the gastrointestinal tract and screen for diseases which might remain hidden if investigated with standard endoscopes. Due to the…
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…
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…
Precise localization within the GI tract by combining classification of CNNs and time-series analysis of HMMs
Julia Werner, Christoph Gerum, Moritz Reiber +2
This paper presents a method to efficiently classify the gastroenterologic section of images derived from Video Capsule Endoscopy (VCE) studies by exploring the combination of a Co…
The Rank-Reduced Kalman Filter: Approximate Dynamical-Low-Rank Filtering In High Dimensions
Jonathan Schmidt, Philipp Hennig, Jörg Nick +1
Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make…
Numerical analysis for electromagnetic scattering from nonlinear boundary conditions
Jörg Nick
This work studies time-dependent electromagnetic scattering from obstacles whose interaction with the wave is fully determined by a nonlinear boundary condition. In particular, the…
Time-dependent electromagnetic scattering from thin layers
Jörg Nick, Balázs Kovács, Christian Lubich
The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which…