Nguyen, N. CuongRozza, GianluigiPatera, Anthony T2008-06-182008-06-182008-06-18200910.1007/s10092-009-0005-xhttps://infoscience.epfl.ch/handle/20.500.14299/26307WOS:000268950300001In this paper we present rigorous a posteriori L2 error bounds for reduced basis approximations of the unsteady viscous Burgers equation in one space dimension. The key new ingredient is accurate solution-dependent (Online) calculation of the exponential-in-time stability factor by the Successive Constraint Method. Numerical results indicate that the a posteriori error bounds are practicable for reasonably large times — many convective scales — and reasonably large Reynolds numbers — O(100) or larger. Work in progress (in collaboration with Dr Paul Fischer) considered the full unsteady incompressible Navier-Stokes equation.time-dependent viscous Burgers equationreduced basis approximationa posteriori error estimationerror boundsexponential-in-time stability factortext::journal::journal article::research article