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Faculty: Vijay Kumar
Project Homepage: http://kumar.cis.upenn.edu/davinci/index.html
The DaVinci project brings together mathematicians and engineers from the University of Iowa, Maryland, Pennsylvania and Rensselaer Polytechnic Institute, to address the urgent need for a thorough understanding of the mathematics of engineering systems that can be modeled by Differential Algebraic Inequalities and Differential Complementarity Problems. The project will open a new chapter in applied mathematics in which classical differential equation theory is merged with contemporary mathematical programming methods. The deliverables of our research are a set of broadly applicable mathematical theories, algorithms, and computational tools that will have a direct impact on an array of engineering and scientific disciplines."