3 papers
math.NA2020
Nonlinear reduced models for state and parameter estimation
Albert Cohen, Wolfgang Dahmen, Olga Mula +1
State estimation aims at approximately reconstructing the solution to a parametrized partial differential equation from linear measurements, when the parameter vector i…
math.NA2019
Optimal reduced model algorithms for data-based state estimation
Albert Cohen, Wolfgang Dahmen, Ron DeVore +3
Reduced model spaces, such as reduced basis and polynomial chaos, are linear spaces of finite dimension which are designed for the efficient approximation of families par…
math.NA2018
An Adaptive Nested Source Term Iteration for Radiative Transfer Equations
Wolfgang Dahmen, Felix Gruber, Olga Mula
We propose a new approach to the numerical solution of radiative transfer equations with certified a posteriori error bounds. A key role is played by stable Petrov--Galerkin type v…