The ACRI, under the direction of Thomas Coleman, is concerned with scientific computation research and its application to engineering and scientific problems. Of particular importance is the use of advanced computer architectures and environments. The ACRI, a unit of the Cornell Theory Center, is closely connected with the CS departmentŃseveral faculty members and re-searchers are associated with it.
Current research projects include: the design and application of efficient numerical algorithms for continuous optimization problems, parallelizing compilers for scientific computation, the design of parallel algorithms for linear algebra and signal processing, the understanding and development of new methods for the numerical solution of differential equations, automatic grid generation, and large-scale inverse problems (e.g. image enhancement, tomography).
In addition to the basic algorithmic and systems research, work continues on several collaborative/application fronts. For example, in collaboration with a radiology research group at the University of Rochester, led by Professor R. Waag, the ACRI is developing new optimization-based parallel methods for ultrasonic imaging using diffraction tomography. The practical goal is to develop an ultrasonic device for medical diagnostics such as cancer detection. The computing demands are enormous: codes will be developed targeted toward the Theory CenterŐs 512 node IBM SP-2 parallel computer. Other collaborative/application activities include continuing work on discrete optimal control problems, in collaboration with Professor Christine Shoemaker of CornellŐs Civil and Environmental Engineering Department, applied to groundwater clean-up; and global optimization algorithms applied to molecular conformation problems, under joint NIH support with Professor Malvin Kalos, Director of the Cornell Theory Center, and Professor Harold Scheraga, the George and Grace Todd Professor of Chemistry Emeritus, Cornell.
This year saw a very active and productive visitor program in the ACRI. Fadil Santosa from the University of Delaware (now at University of Minnesota) visited for 9 months. Fadil, collaborating with ACRI Senior Research Associate Yuying Li, worked on various inverse problems, from image enhancement to electrical impedance tomography. Professor Anne Greenbaum of the Courant Institute of Mathematical Sciences, New York University, visited for 9 months under the sponsorship of the NSF Visiting Professorships for Women program. In addition to pursuing her research interests, primarily iterative linear algebra, Anne taught the research graduate course CS 721 and co-organized (with Nick Trefethen ) the weekly ACRI seminar in the spring. Professor Hans Stetter, Technical University of Vienna, visited for 6 months as part of his sabbatical. He continued his research on zero finding for systems of multivariate polynomials, developing methods that combine the best ideas from the symbolic and numerical communities. Professor Stephen Pope of CornellŐs Mechanical and Aerospace Engineering Department spent the first half of his sabbatical year in ACRI. Steve works on computational methods for turbulent combustion, especially particle methods, and is currently writing a book on this subject.
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