Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Jan Sickmann Hesthaven, Niccolo' Discacciati

We propose a local, non -intrusive model order reduction technique to accurately approximate the solution of coupled multi -component parametrized systems governed by partial differential equations. Our approach is based on the approximation of the boundar ...

Elsevier Science Sa2024

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Volkan Cevher, Grigorios Chrysos, Fanghui Liu

Despite the widespread empirical success of ResNet, the generalization properties of deep ResNet are rarely explored beyond the lazy training regime. In this work, we investigate scaled ResNet in the limit of infinitely deep and wide neural networks, of wh ...

2024

Improved microfluidic transcriptome based screening methods

Christoph Merten, Xiaoli Ma, Leonie Kolmar, Hongxing Hu

The invention provides microfluidic screening systems for the identification of compounds or compositions influencing cellular transcriptomes. The invention is predicated upon taking into account differences in newly synthesized mRNA in contrast to so call ...

2024

Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Fernando José Henriquez Barraza

We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs. After recasting th ...

Springer Birkhauser2024

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

Mario Paolone, André Hodder, Lucien André Félicien Pierrejean, Simone Rametti

This article describes a field-based analytical model of single-sided linear induction motors (SLIMs) that explicitly considers the following effects altogether: finite motor length, magnetomotive force mmf space harmonics, slot effect, edge effect, and ta ...

IEEE2024

The time-domain Cartesian multipole expansion of electromagnetic fields

Farhad Rachidi-Haeri, Marcos Rubinstein, Elias Per Joachim Le Boudec, Nicolas Mora Parra, Chaouki Kasmi, Emanuela Radici

Time-domain solutions of Maxwell’s equations in homogeneous and isotropic media are paramount to studying transient or broadband phenomena. However, analytical solutions are generally unavailable for practical applications, while numerical solutions are co ...

Nature Publishing Group2024

From low-rank retractions to dynamical low-rank approximation and back

Daniel Kressner, Axel Elie Joseph Séguin, Gianluca Ceruti

In algorithms for solving optimization problems constrained to a smooth manifold, retractions are a well-established tool to ensure that the iterates stay on the manifold. More recently, it has been demonstrated that retractions are a useful concept for ot ...

Springer2024

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Marco Picasso, Alexandre Caboussat, Julien Hess, Alexandre Masserey

We present a numerical model for the approximation of multiphase flows with free surfaces and strong interfacial effects. The model relies on the multiphase incompressible Navier-Stokes equations, and includes surface tension effects on the interfaces betw ...

Academic Press Inc Elsevier Science2024

Microfluidic systems for infectious disease diagnostics

Martinus Gijs, Thomas Lehnert

Microorganisms, encompassing both uni- and multicellular entities, exhibit remarkable diversity as omnipresent life forms in nature. They play a pivotal role by supplying essential components for sustaining biological processes across diverse ecosystems, i ...

Royal Soc Chemistry2024

Link between Alginate Reaction Front Propagation and General Reaction Diffusion Theory

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Improved microfluidic transcriptome based screening methods

Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Multiscale Porosity Microfluidics to Study Bacterial Transport in Heterogeneous Chemical Landscapes

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

The time-domain Cartesian multipole expansion of electromagnetic fields

From low-rank retractions to dynamical low-rank approximation and back

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Microfluidic systems for infectious disease diagnostics

Graph Chatbot

Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps

Generalization of Scaled Deep ResNets in the Mean-Field Regime

Improved microfluidic transcriptome based screening methods

Shape Holomorphy of Boundary Integral Operators on Multiple Open Arcs

Multiscale Porosity Microfluidics to Study Bacterial Transport in Heterogeneous Chemical Landscapes

Analytical Model of Single-Sided Linear Induction Motors for High-Speed Applications

The time-domain Cartesian multipole expansion of electromagnetic fields

From low-rank retractions to dynamical low-rank approximation and back

A cut-cell method for the numerical simulation of 3D multiphase flows with strong interfacial effects

Microfluidic systems for infectious disease diagnostics