Yurii Dmitrievich Sokolov
Encyclopedia
Yurii Dmitrievich Sokolov was a Soviet mathematician
.
), Russia. He studied at Kiev Institute of Peoples Education and graduated in 1921. He taught at the Applied Mathematics Division of the Academy. He completed his PhD from Kiev University
. His doctorate advisor was Dmitry Grave. His doctorate thesis was in the area of mechanics of particles.
After completing his PhD, Sokolov taught at the Institute of Mathematics at the National Academy of Sciences of Ukraine. He also taught at many other institutions in Kiev
.
Sokolov died on February 2, 1971 in Kiev, Ukraine, USSR.
and hydromechanics
.
Sokolov is also known for 'the averaging method with functional corrections' or 'the Sokolov method'. This method is for finding approximate solutions to differential and integral equations.
Sokolov wrote the book The method of averaging of functional corrections (1967), in which he summaries his many important work. He wrote the book at an elementary level. First part of the book discusses applications of his method to problems which can be modelled by linear integral equations with constant limits. A number of different sufficient conditions for the approximations to converge and presents error estimates were given. The next three parts of the book first examines the problems which can be modelled by nonlinear integral equations with constant limits and then extend the analysis to the situation where the upper limit is variable. In the final part of the book, Sokolov's methods to integral equations of mixed type are examined. He also presented some generalizations of the method in a number of appendices.
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....
.
Biography
Sokolov was born on May 26, 1896 in Labinskaya Stanitsa (now LabinskLabinsk
Labinsk is a town in Krasnodar Krai, Russia, located on the Bolshaya Laba River southeast of Krasnodar and southwest of Armavir. Population: 53,000 .-History:...
), Russia. He studied at Kiev Institute of Peoples Education and graduated in 1921. He taught at the Applied Mathematics Division of the Academy. He completed his PhD from Kiev University
Kiev University
Taras Shevchenko University or officially the Taras Shevchenko National University of Kyiv , colloquially known in Ukrainian as KNU is located in Kiev, the capital of Ukraine. It is the third oldest university in Ukraine after the University of Lviv and Kharkiv University. Currently, its structure...
. His doctorate advisor was Dmitry Grave. His doctorate thesis was in the area of mechanics of particles.
After completing his PhD, Sokolov taught at the Institute of Mathematics at the National Academy of Sciences of Ukraine. He also taught at many other institutions in Kiev
Kiev
Kiev or Kyiv is the capital and the largest city of Ukraine, located in the north central part of the country on the Dnieper River. The population as of the 2001 census was 2,611,300. However, higher numbers have been cited in the press....
.
Sokolov died on February 2, 1971 in Kiev, Ukraine, USSR.
Research
Sokolov did research on the n-body problem for nearly 50 years. He summarized his work in the 1951 book Singular trajectories of a system of free material points (Russian). He did research on functional equations and on such practical problems as the filtration of groundwater. He also did research on celestial mechanicsCelestial mechanics
Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects. The field applies principles of physics, historically classical mechanics, to astronomical objects such as stars and planets to produce ephemeris data. Orbital mechanics is a subfield which focuses on...
and hydromechanics
Hydromechanics
The history of fluid mechanics, the study of how fluids move and the forces on them, dates back to the Ancient Greeks.-Archimedes:The fundamental principles of hydrostatics were given by Archimedes in his work On Floating Bodies, around 250 BC. In it, Archimedes develops the law of buoyancy, also...
.
Sokolov is also known for 'the averaging method with functional corrections' or 'the Sokolov method'. This method is for finding approximate solutions to differential and integral equations.
Sokolov wrote the book The method of averaging of functional corrections (1967), in which he summaries his many important work. He wrote the book at an elementary level. First part of the book discusses applications of his method to problems which can be modelled by linear integral equations with constant limits. A number of different sufficient conditions for the approximations to converge and presents error estimates were given. The next three parts of the book first examines the problems which can be modelled by nonlinear integral equations with constant limits and then extend the analysis to the situation where the upper limit is variable. In the final part of the book, Sokolov's methods to integral equations of mixed type are examined. He also presented some generalizations of the method in a number of appendices.