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In the optimal design and control of preparative chromatography processes, the obstacles appear when one tries to link the Wilson's framework of chromatographic theories based on partial differential equations (PDEs) with the Eulerian presentation to optimal control approaches based on discrete time states, such as Markov decision processes (MDP) or Model predictive control (MPC).
The surface generation is based on partial differential equations (PDEs).
Direct interpretations based on partial differential equations are not appropriate.
The commercially available software package FemLab is evaluated as solver for building physics problems based on partial differential equations (PDEs).
Computational methods based on partial differential equations instead of the traditional ray tracing have recently been applied to geometrical optics.
At the same time, the development of sophisticated analytical and numerical methods, often based on partial differential equations and on their numerical solution, has helped to increase the relevance of these developments in the everyday practice of finance.
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For the simulation, we suggested a symbolic mathematics-based strategy to describe the dynamic system behavior based on partial non-linear differential equations for the conserved quantity.
The analysis is based on the partial differential equation for non-prismatic rods.
This method is based on a partial differential equation (PDE) tightly coupled with a massive set of eigensystems.
More generally, a framework for synthesising optimal anti-windup compensators is suggested, based on nonlinear partial differential matrix inequalities.
This paper focuses on designing an observer for a flexible-link manipulator based on the partial differential equation (PDE) dynamic model.
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