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. 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 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 missile guidance, 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 ...
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, e ...
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 computational simulations to understand biological systems and relationships. An intersection of computer science, biology, and big data, the field also has fo ...
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 the ...
Prominent theoretical physicist
Yakov Borisovich Zel'dovich
Yakov Borisovich Zeldovich ( be, Я́каў Бары́савіч Зяльдо́віч, russian: Я́ков Бори́сович Зельдо́вич; 8 March 1914 – 2 December 1987), also known as YaB, was a leading Soviet physicist of Bel ...
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 lowe ...
s. Young
Alexander Andreevich Samarskii 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 sy ...
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, t ...
, 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 from nu ...
s.
Currently, such work in KIAM is continuing in the field of
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
D. E. Okhotsimsky directed the works in the department created for researches of dynamics of
space flight
Spaceflight (or space flight) is an application of astronautics to fly spacecraft into or through outer space, either with or without humans on board. Most spaceflight is uncrewed and conducted mainly with spacecraft such as satellites in or ...
. 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 Социали� ...
" and orbital station "
Salyut
The ''Salyut'' programme (russian: Салют, , meaning "salute" or "fireworks") was the first space station programme, undertaken by the Soviet Union. It involved a series of four crewed scientific research space stations and two crewed ...
" and "
Mir". 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 GPS
The Global Positioning System (GPS), originally Navstar GPS, is a satellite-based radionavigation system owned by the United States government and operated by the United States Space Force. It is one of the global navigation satellite sy ...
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 and Mathematical Modelling
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 defined ...
,
algebra
Algebra () is one of the areas of mathematics, 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 mathem ...
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 ho ...
.
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
Ridge regression is a method of estimating the coefficients of multiple- regression models in scenarios where the independent variables are highly correlated. It has been used in many fields including econometrics, chemistry, and engineering. Als ...
). 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, a ...
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
supercomputers. 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>
Computers 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 wer ...
s "Mercedes" by a large staff of estimators. In 1955, the first domestically produced computer "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 supercomputers, 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 interdisciplinarity, 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 human ...
Currently, work on the robotics are carried out in:
* the Group of of the Sector under guidance of (virtual football[The 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 computational simulations to understand biological systems and relationships. An intersection of computer science, biology, and big data, the field also has fo ...
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 types of inhabited localities in Russia, town in Moscow Oblast, Russia, an important scientific center of the Russian Academy of Sciences. Situated south of Moscow, and 13 km south-east ...
.
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 (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 university, public research university located in Moscow Oblast, Russia. I ...
. 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-eigh ...
. In 1978, it is named after Mstislav Keldysh. 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 spaceflight, fly in outer space. A type of artificial satellite, spacecraft are used for a variety of purposes, including Telecommunications, communications, Earth observation satellite, Earth ...
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. Tr ...
's return to the Earth, and in 1957 Sputnik 1 orbit was calculated there using the computer processing of optical observation data.
As a result of the reorganization in RAS of 2015–2016 years[The order on accession IMPB to the KIAM]
/ref> Institute of Mathematical Problems of Biology
The Institute of Mathematical Problems of Biology RAS (russian: link=no, Институт математических проблем биологии) is a research institute specializing in computational biology and bioinformatics. The objec ...
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 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 nation ...
.
* Okhotsimsky, Dmitry Yevgenyevich, Academician of RAS, cosmonautics and robotics
Robotics is an interdisciplinarity, 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 human ...
.
* Eneev, Timur Magometovich, Academician of RAS, cosmonautics 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 i ...
.
* Yablonsky, Sergey Vsevolodovich, Corresponding Member of RAS, one of the founders of cybernetics 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 nation ...
.
* 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 the ...
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 he ...
.
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