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Loss of regularity for Kolmogorov equations
(2012)The celebrated H ormander condition is a sucient (and nearly necessary) condition for a second-order linear Kolmogorov partial dierential equation (PDE) with smooth coecients to be hypoelliptic. As a consequence, the solutions of Kolmogorov PDEs are smooth at all positive times if the coecients of the PDE are smooth and satisfy H ormander's condition even if the initial function is only continuous but not dierentiable. First-order linear ...Presentation -
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Dutch New Worlds. Scenarios in Physical Planning and Design in the Netherlands 1970–2000
(2012)Presentation -
Fast Model Predictive Control - Fast MPC
(2012)Since the 1980s Model Predictive Control (MPC) has become the algorithm of choice for complex control problems in the oil and petrochemical industries. As MPC requires an optimal control problem to be solved in real time, the technique was suited primarily for situations where the process to be controlled is relatively slow and extensive computational resources are available. In the last decade we have developed various algorithms that ...Presentation -