Nikolai Sergeevich Bakhvalov

Nikolai Sergeevich Bakhvalov
Acad. Nikolai Sergeevich Bakhvalov
Born	May 29, 1934 Moscow, Russia
Died	August 29, 2005 Moscow, Russia
Occupation	Mathematician
Known for	complexity, information-based complexity, multigrid method, homogenization

Nikolai Sergeevich Bakhvalov (May 29, 1934 – August 29, 2005) was a Soviet and Russian mathematician.

Born in Moscow into the family of Sergei Vladimirovich Bakhvalov, a geometer a Moscow State University, N.S. Bakhvalov was exposed to mathematics from a young age. In 1950, Bakhvalov entered the Faculty of Mechanics and Mathematics at Moscow State University. His supervisors there included Kolmogorov and Sobolev. Bakhvalov defended his doctorate in 1958. He was a professor of mathematics at Moscow State University since 1966, specializing in computational mathematics. Bakhvalov was a member of the Russian Academy of Sciences since 1991 and a head of the department of computational mathematics at the college of mechanics and mathematics of the Moscow State University since 1981. Bakhvalov authored over 150 papers, several books, and a popular textbook on numerical methods.

He had made major pioneering contributions to many areas of mathematics and mechanics. Starting early in his career, Bakhvalov formulated and proved important results on the optimization of numerical algorithms. In 1959, he determined the complexity of the integration problem in the worst-case setting for integrands of smoothness. Furthermore, he proposed an optimal algorithm for the randomized setting. These can be considered early results in the theory of information-based complexity.

Bakhvalov was one of the pioneers of the multigrid method, contributed to the theory of homogenization, and fictitious domain methods.

Bakhvalov supervised 47 Ph.D. students and was an advisor to 11 doctorates.

Notes

• http://www.netlib.org/na-digest-html/06/v06n04.html#5 Nikolaj S. Bakhvalov: May 29, 1934 - August 29, 2005
• From RAS
• http://www.reference-global.com/doi/abs/10.1515/rnam.1994.9.3.189

References

• Bakhvalov, N.S. (1959), "On the approximate calculation of integrals.", Vestnik MGU, Ser. Mat. Mekh. Astron. Fiz. Khim. 4: 2–18 
• N. S. Bakhvalov (1966) On the convergence of a relaxation method with natural constraints on the elliptic operator. USSR Comp. Math. Math. Phis.6, 101–13.
• ``Homogenisation: Averaging Processes in Periodic Media, Mathematical Problems in the Mechanics of Composite Materials (1989),
• N. S. Bakhvalov, G. Panasenko, Springer, ISBN 9780792300496
• N. S. Bakhvalov and A. V. Knyazev (1994) Fictitious domain methods and computation of homogenized properties of composites with a periodic structure of essentially different components, In Numerical Methods and Applications, Ed. Gury I. Marchuk, CRC Press, 221-276. ISBN 9780849389474
• Kerimov, M. K. (2006), "Academician Nikolai Sergeevich Bakhvalov (1934--2005)", Computational Mathematics and Mathematical Physics 46 (1): 182–184, doi:10.1134/S0965542506010179 

External links

• Nikolai Sergeevich Bakhvalov at the Mathematics Genealogy Project.

Persondata
Name	Bakhvalov, Nikolai Stepanovich
Alternative names
Short description
Date of birth	May 29, 1934
Place of birth	Moscow, Russia
Date of death	August 29, 2005
Place of death	Moscow, Russia