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08/02/2023
A data-driven microscopic on-ramp model based on macroscopic network flows
While macroscopic traffic flow models consider traffic as a fluid, micro...
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04/27/2023
A central scheme for coupled hyperbolic systems
A novel numerical scheme to solve coupled systems of conservation laws i...
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12/17/2022
Data-Driven Models for Traffic Flow at Junctions
Traffic flow on networks requires knowledge on the behavior across traff...
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10/04/2022
Robust feedback stabilization of interacting multi-agent systems under uncertainty
We consider control strategies for large-scale interacting agent systems...
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09/12/2022
Central schemes for networked scalar conservation laws
We propose a novel scheme to numerically solve scalar conservation laws ...
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06/17/2022
Local Characteristic Decomposition Based Central-Upwind Scheme
We propose novel less diffusive schemes for conservative one- and two-di...
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04/05/2022
Recent Trends on Nonlinear Filtering for Inverse Problems
Among the class of nonlinear particle filtering methods, the Ensemble Ka...
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03/22/2022
Multiresolution-analysis for stochastic hyperbolic conservation laws
A multiresolution analysis for solving stochastic conservation laws is p...
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03/18/2022
Filtering methods for coupled inverse problems
We are interested in ensemble methods to solve multi-objective optimizat...
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03/14/2022
Probabilistic Constrained Bayesion Inversion for Transpiration Cooling
To enable safe operations in applications such as rocket combustion cham...
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02/28/2022
Exploring hyper-parameter spaces of neuroscience models on high performance computers with Learning to Learn
Neuroscience models commonly have a high number of degrees of freedom an...
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10/15/2021
Description of random level sets by polynomial chaos expansions
We present a novel approach to determine the evolution of level sets und...
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08/17/2021
Uncertainty Quantification in Hierarchical Vehicular Flow Models
We consider kinetic vehicular traffic flow models of BGK type. Consideri...
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04/30/2021
Model-Order Reduction For Hyperbolic Relaxation Systems
We propose a novel framework for model-order reduction of hyperbolic dif...
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02/18/2021
Stability analysis of a hyperbolic stochastic Galerkin formulation for the Aw-Rascle-Zhang model with relaxation
We investigate the propagation of uncertainties in the Aw-Rascle-Zhang m...
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11/06/2020
Input-to-state stability of a scalar conservation law with nonlocal velocity
In this paper, we study input-to-state stability (ISS) of an equilibrium...
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10/05/2020
Modeling, Control and Numerics of Gas Networks
In this article we survey recent progress on mathematical results on gas...
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07/10/2020
Algorithmic differentiation of hyperbolic flow problems
We are interested in the development of an algorithmic differentiation f...
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06/27/2020
A Stabilization of a Continuous Limit of the Ensemble Kalman Filter
The ensemble Kalman filter belongs to the class of iterative particle fi...
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05/25/2020
Hyperbolic Discretization via Riemann Invariants
We are interested in numerical schemes for the simulation of large scale...
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05/25/2020
Second-order traffic flow models on networks
This paper deals with the Aw-Rascle-Zhang model for traffic flow on uni-...
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05/11/2020
Simplified ResNet approach for data driven prediction of microstructure-fatigue relationship
The heterogeneous microstructure in metallic components results in local...
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12/18/2019
Continuous Limits for Constrained Ensemble Kalman Filter
The Ensemble Kalman Filter method can be used as an iterative particle n...
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07/08/2019