Prof. D.Sc. Dinh Dzung was born in 1951 in Thanh Hoa Province. He graduated from university in 1975, earned his doctoral degree in 1979 and doctorate of science degree in 1985 at Lomonosov Moscow State University (former Soviet Union). At the moment, he is senior researcher at Information Technology Institute, Vietnam National University. He is also the author of more than 80 scientific articles published on pretigious scientific journals.
WORK
Dũng, D., & Ullrich, T. (2013). N-Widths and ε-dimensions for high-dimensional approximations. Foundations of Computational Mathematics, 13(6), 965-1003.
The research work investigated the computation complexity for numerical solving and approximation of high-dimensional problems which arise from many applications in different fields of science and technology. In practice, by using traditional algorithms the computation complexity grows exponentially on dimension and the problems become intractable. The research work proposed new approach and efficient methods of hyperbolic cross approximation for solving the above problems. The obtained results in particular, showed that “the curse of dimensionality” can be broken in some relevant situations (for example, when signals to be approximated possess a mixed regularity) and the computation complexity is acceptable. The results of the research work are a basic contribution in high-dimensional approximation connecting classical theory of multivariate approximation and modern problems of computational mathematics.