Real time pde constrained optimization the first book devoted to real time optimization for systems governed by pdes focuses on new formulations methods and algorithms needed to facilitate real time pde constrained optimization in addition to presenting state of the art algorithms and formulations the text illustrates these algorithms . This book the first to be devoted to real time optimization for systems governed by pdes focuses on new formulations methods and algorithms needed to facilitate real time pde constrained optimization the book presents state of the art algorithms and formulations illustrated with a diverse set of applications. Many engineering and scientific problems in design control and parameter estimation can be formulated as optimization problems that are governed by partial differential equations pdes the complexities of the pdes and the requirement for rapid solution pose significant difficulties a. Pde constrained optimization is a subset of mathematical optimization where at least one of the constraints may be expressed as a partial differential equation typical domains where these problems arise include aerodynamics computational fluid dynamics image segmentation and inverse problems a standard formulation of pde constrained optimization encountered in a number of disciplines is . Despite advances in hardware networks parallel pde solvers large scale optimization algorithms and real time ode optimization significant algorithmic and software challenges must be overcome before the ultimate goal of real time pde data assimilation and optimal control can be realized
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