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出典:『Wikipedia』 (2011/06/04 02:37 UTC 版)

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Roderick Melnik is a Canadian-Australian mathematician and scientist, internationally known for his research in applied mathematics, numerical analysis, and mathematical modeling for scientific and engineering applications. He is a Tier I Canada Research Chair in Mathematical Modeling and Professor at Wilfrid Laurier University in Waterloo, Canada. His other affiliations include the University of Waterloo and University of Guelph. He earned his Ph.D. at Kiev State University in the late 1980s. According to the Mathematics Genealogy Project, his scientific ancestors include A. Tikhonov and other well known scientists and mathematicians. In his early works Melnik studied fully coupled hyperbolic-elliptic models applied in dynamic piezoelectricity theory. Such models, originally proposed by W. Voigt in 1910, have found many applications, and Melnik was the first to rigorously prove well-posedness of a large class of such models in the dynamic case. The piezoelectric effect itself, captured by such models, was discovered in 1880 by Pierre and Jacques Curie. Mathematical models describing this effect in time-dependent situations are based on initial-boundary value problems for coupled systems of partial differential equations. The mathematical and computational analysis of such coupled systems has been in the focus of many Melnik's works. In the 1990s he extended his scientific interests to applications of mathematics in semiconductor and other advanced technologies, including smart and bio-inspired materials technologies, where in collaboration with A. Roberts and their students he pioneered computationally efficient low-dimensional reductions of complex time-dependent nonlinear mathematical models. His other important contributions at that time included fundamental problems in control theory and dynamic system evolution, as well as a range of problems in industrial & applied mathematics and numerical analysis. Before moving to Canada in 2004 as a Senior Canadian Research Chair, he already gained a worldwide reputation, while he continued his research in Europe, Australia, and the United States.