Nikolai Mitrofanovich Krylov

Nikolay Mitrofanovich Krylov ( Russian Николай Митрофанович Крылов , scientific. Transliteration Nikolai Krylov Mitrofanovič ; born 17 ^jul. / 29. November  1879 ^greg. In St. Petersburg ; †  11. May 1955 in Moscow ) was a Russian - Soviet mathematician .

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Krylov studied at the Mining Institute in Saint Petersburg (graduating in 1902) and was a professor there from 1912 before going to the Crimean University in Simferopol as a professor in 1917 . From 1922 he was head of the mathematical physics department of the then newly founded Ukrainian Academy of Sciences in Kiev .

Krylow dealt in particular with numerics of differential equations and mathematical physics . In the course of his life he published about 200 scientific papers. The so-called Krylov sub-spaces , on which Krylow sub-space methods are based, are named after Alexei Nikolayevich Krylow . Krylow was one of the first to study the convergence of the Rayleigh-Ritz method ("direct methods of calculus of variations "). With Nikolai Nikolajewitsch Bogoljubow , his student, Krylow dealt in the 1930s with nonlinear equations of mechanics (especially nonlinear vibrations), about which both published a monograph in 1937.

In 1928 he was elected to the Soviet Academy of Sciences .

His collected works were published in three volumes in Kiev in 1961.

There is another Russian numerical mathematician named Krylow, who should not be confused with him, Vladimir J. Krylow, who co-authored with L. Kantorowitsch the well-known textbook Approximation Methods of Higher Analysis (Berlin 1956). There is also a mathematician Nikolai Vladimirovich Krylov .

Web links

• John J. O'Connor, Edmund F. Robertson :  Nikolai Mitrofanowitsch Krylow. In: MacTutor History of Mathematics archive .