A new error bound for reduced basis approximation of parabolic partial differential equations

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Survey of multifidelity methods in uncertainty propagation, inference, and optimization (2018, methodology): “Depending on the problem of interest, these reduced-basis models can be equipped with cheap a posteriori error estimators for the reduced-model outputs [107, 86, 92, 182, 206, 215].”
Stabilized reduced basis method for parametrized advection-diffusion PDEs (2014, background): “For the a posteriori error estimates, we follow the choice presented in [10], but other possibilities have recently been proposed [32, 33].”
Convergence Rates of the POD–Greedy Method (2013, background): “For example, parabolic problem such as the heat-equation, but as well convection-dominant conservation laws can be treated [6, 21].”
Reduced basis methods for partial differential equations with stochastic influences (2013, background): “Also for other instationary problems, it could be shown that such formulations lead to additional reduction capabilities [90, 106].”