Special Program Announcement For 2011 Office of Naval Reserach Basic Research Challenge: Reduced-Order Representations for Design: Development of Analytical and Computational Techniques for Multi-physics Based Models of

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Special Program Announcement For 2011 Office of Naval Reserach Basic Research Challenge: Reduced-Order Representations for Design: Development of Analytical and Computational Techniques for Multi-physics Based Models of: The Basic Research Challenge (BRC) Program is to advance computational methods for design and optimization across a heterogeneous set of physical processes. The program will focus on development of reduced-order representations of general classes of data and physical processes, with a focus on significantly improved speed of system optimization, as well as an efficient and mathematically rigorous framework for investigation of the system "trade space". The program will integrate basic research in mathematics, optimization, physics-based modeling, and statistics. The approach is a) to develop a rigorous mathematical and computational framework for building the lowest-dimensional model that can capture the dominant behavior of the system of interest, b) to develop new and more efficient methods for searching the design "trade space," and c) to improve the efficiency of the evaluation of the physics-based models. Topics of interest include, but are not limited to: - methods for computing reduced-order bases (ROBs) which offer simultaneously sparsity, computational efficiency, and numerical stability, with the goal of optimal exploration of the parameter space - global error bounds for methods for computing ROBs which offer both sparsity and stability - efficient methods for determining the optimal dimension of the low-order representations of a given computational model ******************************************* Applicants shall NOT apply under this Special Notice. Applicants shall apply using the Application Instructions and Package under ONRBAA11-001 by 15 April 2011.