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The Keldysh Institute of Applied Mathematics (russian: Институт прикладной математики им. М.В.Келдыша) is a research institute specializing in
computation Computation is any type of arithmetic or non-arithmetic calculation that follows a well-defined model (e.g., an algorithm). Mechanical or electronic devices (or, historically, people) that perform computations are known as ''computers''. An esp ...
al
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
. It was established to solve computational tasks related to government programs of
nuclear Nuclear may refer to: Physics Relating to the nucleus of the atom: *Nuclear engineering *Nuclear physics *Nuclear power *Nuclear reactor *Nuclear weapon *Nuclear medicine *Radiation therapy *Nuclear warfare Mathematics *Nuclear space *Nuclear ...
and
fusion Fusion, or synthesis, is the process of combining two or more distinct entities into a new whole. Fusion may also refer to: Science and technology Physics *Nuclear fusion, multiple atomic nuclei combining to form one or more different atomic nucl ...
energy,
space research Space research is scientific study carried out in outer space, and by studying outer space. From the use of space technology to the observable universe, space research is a wide research field. Earth science, materials science, biology, medici ...
and
missile In military terminology, a missile is a guided airborne ranged weapon capable of self-propelled flight usually by a jet engine or rocket motor. Missiles are thus also called guided missiles or guided rockets (when a previously unguided rocket ...
technology. The Institute is a part of the Department of Mathematical Sciences of the
Russian Academy of Sciences The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...
. The main direction of activity of the institute is the use of
computer technology Computing is any goal-oriented activity requiring, benefiting from, or creating computing machinery. It includes the study and experimentation of algorithmic processes, and development of both hardware and software. Computing has scientific, ...
to solve complex scientific and technical issues of practical importance. Since 2016, development of mathematical and computational methods for biological research, as well as a direct solution to the problems of
computational biology Computational biology refers to the use of data analysis, mathematical modeling and Computer simulation, computational simulations to understand biological systems and relationships. An intersection of computer science, biology, and big data, the ...
with the use of such methods, has also been included in the circle of scientific activities of the institute.


Scientific activity


Nuclear physics Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies t ...

Prominent theoretical physicist Yakov Borisovich Zel'dovich headed one of the departments placed in charge of the theoretical aspects of the work on the creation of
nuclear Nuclear may refer to: Physics Relating to the nucleus of the atom: *Nuclear engineering *Nuclear physics *Nuclear power *Nuclear reactor *Nuclear weapon *Nuclear medicine *Radiation therapy *Nuclear warfare Mathematics *Nuclear space *Nuclear ...
and
thermonuclear weapon A thermonuclear weapon, fusion weapon or hydrogen bomb (H bomb) is a second-generation nuclear weapon design. Its greater sophistication affords it vastly greater destructive power than first-generation nuclear bombs, a more compact size, a lo ...
s. Young
Alexander Andreevich Samarskii Alexander Andreevich Samarskii (Александр Андреевич Самарский, 19 February 1919, Amvrosiivka, metropolitan Donetsk, Yekaterinoslav Governorate – 11 February 2008, Moscow) was a Soviet and Russian mathematician and ...
performed the first realistic calculations of macrokinetics of
chain reaction A chain reaction is a sequence of reactions where a reactive product or by-product causes additional reactions to take place. In a chain reaction, positive feedback leads to a self-amplifying chain of events. Chain reactions are one way that sys ...
of a
nuclear explosion A nuclear explosion is an explosion that occurs as a result of the rapid release of energy from a high-speed nuclear reaction. The driving reaction may be nuclear fission or nuclear fusion or a multi-stage cascading combination of the two, ...
, which led to the practical importance estimated power of nuclear weapons. In relation to nuclear energy, the institute was also involved in modelling of processes of neutron transport and
nuclear reaction In nuclear physics and nuclear chemistry, a nuclear reaction is a process in which two nuclei, or a nucleus and an external subatomic particle, collide to produce one or more new nuclides. Thus, a nuclear reaction must cause a transformatio ...
s. In particular, E. Kuznetsov is known for his work on the theory of
nuclear reactor A nuclear reactor is a device used to initiate and control a fission nuclear chain reaction or nuclear fusion reactions. Nuclear reactors are used at nuclear power plants for electricity generation and in nuclear marine propulsion. Heat fr ...
s. Currently, such work in KIAM is continuing in the field of
plasma physics Plasma ()πλάσμα
, Henry George Liddell, R ...
and controlled
thermonuclear fusion Thermonuclear fusion is the process of atomic nuclei combining or “fusing” using high temperatures to drive them close enough together for this to become possible. There are two forms of thermonuclear fusion: ''uncontrolled'', in which the re ...
, which began under the leadership of S. P. Kurdyumov, , .


Cosmonautics Astronautics (or cosmonautics) is the theory and practice of travel beyond Earth's atmosphere into outer space. Spaceflight is one of its main applications and space science its overarching field. The term ''astronautics'' (originally ''astron ...

D. E. Okhotsimsky directed the works in the department created for researches of dynamics of space flight. In 1966, the department was reorganized into the Ballistic Centre. The Ballistic Centre was involved in the calculations of optimal orbit trajectory and actual corrections for all space flights, from unmanned interplanetary and lunar vehicles to the manned "
Soyuz Soyuz is a transliteration of the Cyrillic text Союз ( Russian and Ukrainian, 'Union'). It can refer to any union, such as a trade union (''profsoyuz'') or the Union of Soviet Socialist Republics (Сою́з Сове́тских Социалис ...
" and orbital station " Salyut" and "
Mir ''Mir'' (russian: Мир, ; ) was a space station that operated in low Earth orbit from 1986 to 2001, operated by the Soviet Union and later by Russia. ''Mir'' was the first modular space station and was assembled in orbit from 1986 to&n ...
". The department also investigated the docking task, controlled landing and stabilizing the spacecraft. The institute took an active part in the creation of the Soviet space shuttle " Buran". KIAM continues to engage in performance of current Russian space projects. The current researches are connected with: * development of systems for management and navigation of space vehicles in real time with the use of
global satellite navigation systems Global means of or referring to a globe and may also refer to: Entertainment * ''Global'' (Paul van Dyk album), 2003 * ''Global'' (Bunji Garlin album), 2007 * ''Global'' (Humanoid album), 1989 * ''Global'' (Todd Rundgren album), 2015 * Bruno ...
GPS and
GLONASS GLONASS (russian: ГЛОНАСС, label=none, ; rus, links=no, Глобальная навигационная спутниковая система, r=Global'naya Navigatsionnaya Sputnikovaya Sistema, t=Global Navigation Satellite System) is ...
; * studies of the atmosphere of the planets of the solar system; * exploration of prospects for further interplanetary missions using electric rocket engines; * participation in such projects as " RadioAstron" and
Fobos-Grunt Fobos-Grunt or Phobos-Grunt (russian: link=no, Фобос-Грунт, where ''грунт'' refers to the ''ground'' in the narrow geological meaning of any type of soil or rock exposed on the surface) was an attempted Russian sample return mis ...
.


Mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and
Mathematical Modelling A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physi ...

One of the greatest mathematicians of the twentieth century
I. M. Gelfand Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand ( yi, ישראל געלפֿאַנד, russian: Изра́иль Моисе́евич Гельфа́нд, uk, Ізраїль Мойсейович Гел� ...
was at the head of the Department of heat transmission before his departure for the United States in 1989. He was carrying out the fundamental works on
functional analysis Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defi ...
,
algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...
and
topology In mathematics, topology (from the Greek words , and ) is concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling, and bending; that is, without closing ...
. A. N. Tikhonov worked initially also in these areas of mathematics. However, Tikhonov is better known with his works of more applied orientation, such as methods for solving ill-posed problems ( Tikhonov regularization). Tikhonov also created the theory of
differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, ...
s with a small parameter at the highest derivative. The general theory of stability of difference schemes was developed by . Samarskii considered mathematical modelling as an independent scientific discipline. S. P. Kurdyumov created a whole scientific school in
nonlinear dynamics In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other ...
and synergetics in Russia. Currently, the existing arsenal of numerical methods is updated and improved in response to the growing complexity of the models and the possibilities of modern
supercomputer A supercomputer is a computer with a high level of performance as compared to a general-purpose computer. The performance of a supercomputer is commonly measured in floating-point operations per second ( FLOPS) instead of million instructio ...
s. Scientists of KIAM elaborate grid methods for solving computational problems, which has led, in particular, to the creation of a declarative language "Norma".Programming languages and systems "Norma"
/ref>


Computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations ( computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These prog ...
s and Programming

The institute is always supplied with the most modern computer technology, which the domestic industry could put. The first studies were carried out still on
mechanical calculator A mechanical calculator, or calculating machine, is a mechanical device used to perform the basic operations of arithmetic automatically, or (historically) a simulation such as an analog computer or a slide rule. Most mechanical calculators w ...
s "Mercedes" by a large staff of estimators. In 1955, the first domestically produced
computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations ( computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These prog ...
"Strela" appeared, and, in particular, the orbit of the first satellite was calculated with use of it. Currently, work is underway to create a distributed computing systems based on combining several
supercomputer A supercomputer is a computer with a high level of performance as compared to a general-purpose computer. The performance of a supercomputer is commonly measured in floating-point operations per second ( FLOPS) instead of million instructio ...
s, which are used for grid – technology and developed a specialized
operating system An operating system (OS) is system software that manages computer hardware, software resources, and provides common daemon (computing), services for computer programs. Time-sharing operating systems scheduler (computing), schedule tasks for ef ...
(DVM).


Robotics Robotics is an interdisciplinary branch of computer science and engineering. Robotics involves design, construction, operation, and use of robots. The goal of robotics is to design machines that can help and assist humans. Robotics integrat ...

Currently, work on the robotics are carried out in: * the Group of of the Sector under guidance of (virtual footballThe project "Virtual football" of KIAM RAS
/ref>), * the Group of ( vision systems), * the Group of (autonomous tracked vehicles). Work is also continuing on the establishment of six-legged walking machine.


Computational biology Computational biology refers to the use of data analysis, mathematical modeling and Computer simulation, computational simulations to understand biological systems and relationships. An intersection of computer science, biology, and big data, the ...

Since 2016, the sphere of interests of KIAM includes also computational biology problems, which are solved in IMPB RAS – Branch of KIAM RAS in
Pushchino Pushchino ( rus, Пущино, p=ˈpuɕːɪnə) is a town in Moscow Oblast, Russia, an important scientific center of the Russian Academy of Sciences. Situated south of Moscow, and 13 km south-east of Serpukhov, on the right side of the Ok ...
.


Specialized research projects

* The project " RadioAstron" * The project "Norma" * The project "DVM" * The project "GNS" * The project "grid" (multiprocessor computations) * The project "Virtual football" *
International Scientific Optical Network The International Scientific Optical Network or ISON (russian: Международная научная оптическая сеть, Пулковская кооперация оптических наблюдателей) is an international p ...
(ISON)


Teaching and social activities

Most of the leading employees of KIAM worked part-time as professors of the
Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...
and
Moscow Institute of Physics and Technology Moscow Institute of Physics and Technology (MIPT; russian: Московский Физико-Технический институт, also known as PhysTech), is a public research university located in Moscow Oblast, Russia. It prepares speciali ...
. was the organizer and first Dean of the Faculty of Computational Mathematics and Cybernetics. was engaged in mathematical education of secondary school pupils.


History


Milestones

The institute is located in
Moscow Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million ...
,
Russia Russia (, , ), or the Russian Federation, is a transcontinental country spanning Eastern Europe and Northern Asia. It is the largest country in the world, with its internationally recognised territory covering , and encompassing one-ei ...
. In 1978, it is named after
Mstislav Keldysh Mstislav Vsevolodovich Keldysh (russian: Мстисла́в Все́володович Ке́лдыш; – 24 June 1978) was a Soviet mathematician who worked as an engineer in the Soviet space program. He was the academician of the Academy ...
. The institute was created in 1966 when it split from
Steklov Institute of Mathematics Steklov Institute of Mathematics or Steklov Mathematical Institute (russian: Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part ...
. Already as the Department of Applied Mathematics of Steklov Institute it had conducted some outstanding research in the field of space exploration: in 1953 it developed the method of ballistic
spacecraft A spacecraft is a vehicle or machine designed to fly in outer space. A type of artificial satellite, spacecraft are used for a variety of purposes, including communications, Earth observation, meteorology, navigation, space colonization, ...
descent, that was used on 12 April 1961 for
Yuri Gagarin Yuri Alekseyevich Gagarin; Gagarin's first name is sometimes transliterated as ''Yuriy'', ''Youri'', or ''Yury''. (9 March 1934 – 27 March 1968) was a Soviet pilot and cosmonaut who became the first human to journey into outer space. T ...
's return to the Earth, and in 1957
Sputnik 1 Sputnik 1 (; see § Etymology) was the first artificial Earth satellite. It was launched into an elliptical low Earth orbit by the Soviet Union on 4 October 1957 as part of the Soviet space program. It sent a radio signal back to Earth for ...
orbit was calculated there using the
computer A computer is a machine that can be programmed to carry out sequences of arithmetic or logical operations ( computation) automatically. Modern digital electronic computers can perform generic sets of operations known as programs. These prog ...
processing of optical observation data. As a result of the reorganization in
RAS Ras or RAS may refer to: Arts and media * RAS Records Real Authentic Sound, a reggae record label * Rundfunk Anstalt Südtirol, a south Tyrolese public broadcasting service * Rás 1, an Icelandic radio station * Rás 2, an Icelandic radio sta ...
of 2015–2016 yearsThe order on accession IMPB to the KIAM
/ref> Institute of Mathematical Problems of Biology became a branch of KIAM.


Principals

* 1953–1978 Keldysh, Mstislav Vsevolodovich, President of the USSR Academy of Sciences, mathematician. * 1978–1989 Tikhonov, Andrey Nikolayevich, Academician of RAS, mathematician. * 1989–1999 Kurdyumov, Sergei Pavlovich, Corresponding Member of the Russian Academy of Sciences, mathematician. * 1999–2008 Popov, Yuriy Petrovich, Corresponding Member of the Russian Academy of Sciences, mathematician. * 2008–2015 Chetverushkin, Boris Nikolaevich, Academician of RAS, mathematician.


The organizations that were separated out

* 1955 — Dorodnitsyn Computing Centre. * 1965 — Space Research Institute, established on the basis of one of the departments of KIAM to develop scientific space flight programs. * 1990 — Institute for Mathematical Modelling, based on department .


Famous faculty and alumni

* Gelfand, Israel Moiseevich, Academician of the USSR Academy of Sciences, mathematician of world renown. * Godunov, Sergei Konstantinovich, Academician of the USSR Academy of Sciences, mathematician of world renown. * Lyapunov, Alexey Andreevich, Corresponding Member of the USSR Academy of Sciences, one of the founders of
cybernetics Cybernetics is a wide-ranging field concerned with circular causality, such as feedback, in regulatory and purposive systems. Cybernetics is named after an example of circular causal feedback, that of steering a ship, where the helmsperson ma ...
in the
USSR The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nati ...
. * Okhotsimsky, Dmitry Yevgenyevich, Academician of RAS,
cosmonautics Astronautics (or cosmonautics) is the theory and practice of travel beyond Earth's atmosphere into outer space. Spaceflight is one of its main applications and space science its overarching field. The term ''astronautics'' (originally ''astron ...
and
robotics Robotics is an interdisciplinary branch of computer science and engineering. Robotics involves design, construction, operation, and use of robots. The goal of robotics is to design machines that can help and assist humans. Robotics integrat ...
. * Eneev, Timur Magometovich, Academician of
RAS Ras or RAS may refer to: Arts and media * RAS Records Real Authentic Sound, a reggae record label * Rundfunk Anstalt Südtirol, a south Tyrolese public broadcasting service * Rás 1, an Icelandic radio station * Rás 2, an Icelandic radio sta ...
,
cosmonautics Astronautics (or cosmonautics) is the theory and practice of travel beyond Earth's atmosphere into outer space. Spaceflight is one of its main applications and space science its overarching field. The term ''astronautics'' (originally ''astron ...
and
cosmogony Cosmogony is any model concerning the origin of the cosmos or the universe. Overview Scientific theories In astronomy, cosmogony refers to the study of the origin of particular astrophysical objects or systems, and is most commonly used ...
. * Yablonsky, Sergey Vsevolodovich, Corresponding Member of RAS, one of the founders of
cybernetics Cybernetics is a wide-ranging field concerned with circular causality, such as feedback, in regulatory and purposive systems. Cybernetics is named after an example of circular causal feedback, that of steering a ship, where the helmsperson ma ...
in the
USSR The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen nati ...
. * Yanenko, Nikolai Nikolaevich, Academician of the USSR Academy of Sciences, mathematician and engineer. * Zel'dovich, Yakov Borisovich, Academician of the USSR Academy of Sciences,
nuclear physics Nuclear physics is the field of physics that studies atomic nuclei and their constituents and interactions, in addition to the study of other forms of nuclear matter. Nuclear physics should not be confused with atomic physics, which studies t ...
и
astrophysics Astrophysics is a science that employs the methods and principles of physics and chemistry in the study of astronomical objects and phenomena. As one of the founders of the discipline said, Astrophysics "seeks to ascertain the nature of the h ...
.


References


External links


Institute web site
{{authority control Educational institutions established in 1966 Mathematical institutes Institutes of the Russian Academy of Sciences Universities and institutes established in the Soviet Union Research institutes in the Soviet Union 1966 establishments in the Soviet Union