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09/16/2023
A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model
We provide a posteriori error estimates for a discontinuous Galerkin sch...
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09/13/2023
A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model
We study a finite volume scheme approximating a parabolic-elliptic Kelle...
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07/24/2023
Stability of step size control based on a posteriori error estimates
A posteriori error estimates based on residuals can be used for reliable...
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06/10/2023
Theory of shifts, shocks, and the intimate connections to L^2-type a posteriori error analysis of numerical schemes for hyperbolic problems
In this paper, we develop a posteriori error estimates for numerical app...
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05/02/2023
A-posteriori error estimates for systems of hyperbolic conservation laws
We provide rigorous and computable a-posteriori error estimates for firs...
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03/07/2023
Observer-based data assimilation for barotropic gas transport using distributed measurements
We consider a state estimation problem for gas pipeline flow modeled by ...
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02/21/2023
Model adaptation for hyperbolic balance laws
In this work, we devise a model adaptation strategy for a class of model...
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11/22/2022
Efficient wPINN-Approximations to Entropy Solutions of Hyperbolic Conservation Laws
We consider the approximation of weak solutions of nonlinear hyperbolic ...
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05/21/2021
On the convergence of the regularized entropy-based moment method for kinetic equations
The entropy-based moment method is a well-known discretization for the v...
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10/15/2020
A posteriori error estimates for wave maps into spheres
We provide a posteriori error estimates in the energy norm for temporal ...
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09/17/2020
Data-Driven Snapshot Calibration via Monotonic Feature Matching
Snapshot matrices of hyperbolic equations have a slow singular value dec...
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12/09/2019
Error control for statistical solutions
Statistical solutions have recently been introduced as a an alternative ...
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08/26/2019
An a posteriori error analysis based on non-intrusive spectral projections for systems of random conservation laws
We present an a posteriori error analysis for one-dimensional random hyp...
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06/11/2019