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07/15/2023
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation
The criticality problem in nuclear engineering asks for the principal ei...
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01/13/2023
Solving PDEs with Incomplete Information
We consider the problem of numerically approximating the solutions to a ...
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07/15/2022
Least squares solvers for ill-posed PDEs that are conditionally stable
This paper is concerned with the design and analysis of least squares so...
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07/13/2022
Compositional Sparsity, Approximation Classes, and Parametric Transport Equations
Approximating functions of a large number of variables poses particular ...
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10/18/2021
Nonlinear Reduced DNN Models for State Estimation
We propose in this paper a data driven state estimation scheme for gener...
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05/12/2021
Accuracy controlled data assimilation for parabolic problems
This paper is concerned with the recovery of (approximate) solutions to ...
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09/06/2020
Nonlinear reduced models for state and parameter estimation
State estimation aims at approximately reconstructing the solution u to ...
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02/01/2020
State Estimation – The Role of Reduced Models
The exploration of complex physical or technological processes usually r...
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10/15/2019