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Никола́й Серге́евич Бахва́лов (29 мая 1934, Москва — 29 августа 2005, Москва) — советский и российский математик, специалист по вычислительной математике. Академик РАН (1991), заслуженный деятель науки Российской Федерации (1994).
, Nikolai Sergejewitsch Bachwalow (russisch … Nikolai Sergejewitsch Bachwalow (russisch Николай Сергеевич Бахвалов, englische Transkription Nikolai Sergeevich Bakhvalov; * 29. Mai 1934 in Moskau; † 29. August 2005 ebenda) war ein russischer Mathematiker, der sich mit Numerischer Mathematik befasste. Er war der Sohn des Moskauer Mathematikprofessors Sergei Wladimirowitsch Bachwalow und studierte ab 1950 an der Fakultät für Mechanik und Mathematik (Mechmat) der Lomonossow-Universität. Zu seinen Lehrern gehörten Andrei Kolmogorow und Sergei Lwowitsch Sobolew. Er wurde 1958 bei Kolmogorow promoviert (Über die Konstruktion von Finite-Differenzen-Gleichungen bei der näherungsweisen Lösung der Laplacegleichung) und habilitierte sich 1964 (russischer Doktortitel). Ab 1966 war er Professor an der Lomonossow-Universität, an der er seit 1981 die Abteilung Numerische Mathematik leitete. Er gilt als Pionier der Mehrgitterverfahren (mit Radi Petrowitsch Fedorenko, Achi Brandt, Wolfgang Hackbusch). Außerdem betrachtete er früh (1959) Probleme der numerischen Analysis unter dem Aspekt informationstheoretischer Komplexität. Er befasste sich auch mit Wellenphänomenen und Mechanik von Verbundmaterialien, wobei er die Methode der Homogenisierung weiterentwickelte und die Methode fiktiver Domänen. Er ist Autor verbreiteter russischer Lehrbücher über Numerische Methoden. Er war seit 1981 korrespondierendes und seit 1991 volles Mitglied der Russischen Akademie der Wissenschaften.1985 erhielt er den Staatspreis der UdSSR.1985 erhielt er den Staatspreis der UdSSR.
, Nikolai Sergeevich Bakhvalov (Moscou, 29 d … Nikolai Sergeevich Bakhvalov (Moscou, 29 de maio de 1934 — Moscou, 29 de agosto de 2005) foi um matemático russo e soviético. Nascido em Moscou, filho de Sergei Vladimirovich Bakhvalov, um geômetra da Universidade Estatal de Moscou, N.S. Bakhvalov foi exposto à matemática quando jovem. Em 1950 entrou na da Universidade Estatal de Moscou. Dentre seus supervisores incluem-se Andrei Kolmogorov e Sergei Sobolev. Bakhvalov obteve o doutorado em 1958. Foi professor de matemática da Universidade Estatal de Moscou desde 1966, especializado em matemática computacional. Bakhvalov foi um membro da Academia de Ciências da Rússia desde 1991 e chefe do Departamento de Matemática Computacional do Colégio de Colégio de Matemática e Mecânica da Universidade Estatal de Moscou desde 1981. Bakhvalov publicou mais de 150 artigos e um livro texto popular sobre métodos numéricos. Foi autor de contribuições pioneiras em diversas áreas da matemática e mecânica. Já no início de sua carreira formulor e provou resultados fundamentais sobre otimização de algoritmos numéricos. Em 1959 determinou a complexidade do problema de integração na configuração do pior caso para integrandos suaves. Além disso, propos um para configurações aleatórias. Este pode ser considerado como um resultado inicial da teoria da . Bakhvalov foi um dos pioneiros do Método Multigrid, contribuiu para a e o método do domínio fictício.uiu para a e o método do domínio fictício.
, Nikolai Sergeevich Bakhvalov (Russian: Ник … Nikolai Sergeevich Bakhvalov (Russian: Николай Серге́евич Бахвалов) (May 29, 1934 – August 29, 2005) was a Soviet and Russian mathematician. Born in Moscow into the family of Sergei Vladimirovich Bakhvalov, a geometer at 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.dents and was an advisor to 11 doctorates.
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Nikolai Sergejewitsch Bachwalow (russisch … Nikolai Sergejewitsch Bachwalow (russisch Николай Сергеевич Бахвалов, englische Transkription Nikolai Sergeevich Bakhvalov; * 29. Mai 1934 in Moskau; † 29. August 2005 ebenda) war ein russischer Mathematiker, der sich mit Numerischer Mathematik befasste. Er gilt als Pionier der Mehrgitterverfahren (mit Radi Petrowitsch Fedorenko, Achi Brandt, Wolfgang Hackbusch). Außerdem betrachtete er früh (1959) Probleme der numerischen Analysis unter dem Aspekt informationstheoretischer Komplexität.ekt informationstheoretischer Komplexität.
, Nikolai Sergeevich Bakhvalov (Moscou, 29 d … Nikolai Sergeevich Bakhvalov (Moscou, 29 de maio de 1934 — Moscou, 29 de agosto de 2005) foi um matemático russo e soviético. Nascido em Moscou, filho de Sergei Vladimirovich Bakhvalov, um geômetra da Universidade Estatal de Moscou, N.S. Bakhvalov foi exposto à matemática quando jovem. Em 1950 entrou na da Universidade Estatal de Moscou. Dentre seus supervisores incluem-se Andrei Kolmogorov e Sergei Sobolev. Bakhvalov obteve o doutorado em 1958. Foi professor de matemática da Universidade Estatal de Moscou desde 1966, especializado em matemática computacional. Bakhvalov foi um membro da Academia de Ciências da Rússia desde 1991 e chefe do Departamento de Matemática Computacional do Colégio de Colégio de Matemática e Mecânica da Universidade Estatal de Moscou desde 1981. Bakhvalov publicoul de Moscou desde 1981. Bakhvalov publicou
, Никола́й Серге́евич Бахва́лов (29 мая 1934, Москва — 29 августа 2005, Москва) — советский и российский математик, специалист по вычислительной математике. Академик РАН (1991), заслуженный деятель науки Российской Федерации (1994).
, Nikolai Sergeevich Bakhvalov (Russian: Ник … Nikolai Sergeevich Bakhvalov (Russian: Николай Серге́евич Бахвалов) (May 29, 1934 – August 29, 2005) was a Soviet and Russian mathematician. Born in Moscow into the family of Sergei Vladimirovich Bakhvalov, a geometer at 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 f mechanics and mathematics of the Moscow
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Nikolai Bakhvalov
, Nikolai Sergejewitsch Bachwalow
, Nikolai Sergeevich Bakhvalov
, Бахвалов, Николай Сергеевич
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