Research is an integral part of our mission in Mathematical and Computer Sciences. Research areas in computer science are varied depending on individual faculty interests. Especially noteworthy is the work being done in information security much of which is administered through the Institute for Information Security.
CBIM Tackles Tough Problems
Christian Constanda asserts that 95 percent of the population is scared by the “M-word” — mathematics, that is. But Constanda, the Charles C. Oliphant Endowed Chair in Mathematics, and his ENS colleagues bravely seek out and tackle mathematical problems perplexing engineers and scientists across the globe.
The new Center for Boundary Integral Methods (CBIM), housed in the Department of Mathematical and Computer Sciences, is a group of five mathematics faculty who study problems, solve those problems, and then publish their solutions using the class of mathematical methods called Boundary Integral Methods (BIM).
“These methods are a very powerful, elegant class of methods,” Constanda said. “BIM prove the existence of a mathematical solution to a particular problem, and do so in a generalized, safe and fast way.”
Constanda and his CBIM colleagues (Igor Chudinovich, Dale Doty, William Hamill, and Shirley Pomeranz) research literature presented by engineers and other scientists to find problems that can be solved using BIM.
The Center was a natural progression of Constanda’s professional work. Since 1990, he has served as the chairman of the International Consortium of Integral Methods in Science and Engineering. This international consortium meets every other year and alternates its meeting sites between North America and Europe.
“We find many of our research problems at professional meetings and conferences as well as in published literature,” Constanda said. “We publish our solutions, and then engineers can use those solutions for their work to build skyscrapers, cars, and other advances in the world.”
Constanda said most of the CBIM’s work to date has revolved around engineering problems, but he looks for future work in the areas of economics, finance, and science.
“As we publish our work in a variety of disciplines, the world will begin to recognize that world-class research can take place at a small, private university,” Constanda said. “We have good minds, determination, and a spirit of collaboration here that will push the boundaries of the research horizon and, thus, the boundaries of the universe.”
Math research is is largely in applied analysis, in particular in the field of boundary integral methods through the Center for Boundary Integral Methods.