Nikolay Mitrofanovich Krylov

Nikolai Mitrofanovich Krylov (Russian Николай Митрофанович Крылов, scientific transliteration Nikolai Krylov Mitrofanovič; * 17.jul / November 29 1879greg in Saint Petersburg, .. † May 11, 1955 in Moscow) was a Russian- Soviet mathematician.

Life and work

Krylov studied at the Mining Institute in St. Petersburg ( completion 1902), where he was professor from 1912, before becoming a professor went to the Crimea Simferopol University in 1917. From 1922 he was Head of Mathematical Physics at the newly founded Ukrainian Academy of Sciences in Kiev.

Krylov dealt in particular with the numerics of differential equations and mathematical physics. During his lifetime, he published about 200 scientific papers. The so-called Krylov subspaces, on which are based Krylov subspace methods are, however, named after Alexei Nikolaevich Krylov. Krylov studied as one of the first convergence of the Rayleigh - Ritz method ( "direct methods of the calculus of variations "). With Nikolai Nikolaevich Bogolyubov, his pupil, Krylov addressed in the 1930s with non-linear equations of mechanics (especially the non-linear oscillations), what both published in 1937 a monograph.

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

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

It is yet another Russian numerical mathematician named Krylov, which should not be confused with him, Vladimir J. Krylov, the co-author with L. Kantorovich of the famous textbook approximate methods of higher analysis (Berlin, 1956). There is also a mathematician Nikolai Vladimirovich Krylov.