Azerbaijan National Academy of Sciences

Topic of  PhD thesis:

-         specialty code

-         specialty name

-         topic name

01.01.07

Numerical methods for solving ordinary differential equations

Topic of doctoral thesis:

-         specialty code

-         specialty name

-         topic name

01.01.07

Computational mathematics

Election of corresponding member of ANAS:

- date

- specialty name

2017

Total number of printed scientific publications:

-          number of scientific publications printed abroad:

-          number of papers  published in journals indexed and abstracted in international databases

158

79

Staff training:     

-         number of  PhD

-         number of  Doctor of sciences 

3

The scientific field of activity of V.R.Ibragimov includes the use of numerical methods for solving ordinary differential  equations. V.R.Ibragimov was engaged in increasing the accuracy of numerical methods, for this purpose applying various linear combination methods and Richardson extrapolation. Using numerical error methods of asymptotic relations, V.R. Ibragimov proposed a formula for accurately finding the maximum value of Richardson extrapolation, once applying it numerically.

He continued his work in one of the areas of modern computational mathematics in the development of high-precision methods, using multi-stage methods, such as the Obreshkov method, used for the secondary and higher derivatives, and derived a formula for determining the relationship between the development of these methods and their indicators.

Given the wide scope of application of uncertain methods, V.R. Ibragimov proposed different methods of forecast correction for these methods and determined sufficient conditions for their collection.

He applied the Obreshkov method in the numerical solution of simple differentiated equations of high order and showed the construction of effective methods.

V.R. Ibragimov proved the existence of a method of sustainable forward movement to remove the Dalquist barrier and developed specific methods of sustainable forward movement.

Studying the methods of Adams and Runge-Kutta, he created new methods with the positive properties of these methods and proved that these methods belong to the class of hybrid methods.

Having examined the generalized form of various hybrid methods, V.R. Ibragimov constructed stable hybrid methods of high accuracy and used them to solve various problems.

He proved the existence of an exact stable hybrid method and built a specific exact hybrid model.

He investigated the application of these methods for solving integral equations of Volterra type and integral differential equations and proved that the same method can be used to solve both ordinary differential  equations, such as Volterra and integral differential equations.

1. Mehdiyeva G.Yu., Imanova M.N., Ibrahimov V.R. On one application of forward jumping methods. Applied Numerical Mathematics, Volume 72, October 2013, p. 234–245.

2. V.R. Ibrahimov. On the maximum degree of the k-step Obrechkoff’s method. Bulletin of Iranian Mathematical Society, Vol. 20, No. 1, pp.1-28 (2002).

3. G. Mehdiyeva, M. Imanova, V. Ibrahimov On a Research of Hybrid Methods. Numerical Analysis and Its Applications, Springer, 2013, pp. 395-402. 4. G. Mehdiyeva, M. Imanova, V. General Theory of the Application of Multistep Methods to Calculation of the Energy of Signals, Wireless Communications, Networking and Applications, Wcna 2014 Volume: 348 Pages: 2016, 1047-1056.

5. G. Mehdiyeva, M. Imanova, V. Ibrahimov Some refinement of the notion of symmetry for the Volterra integral equations and the construction of symmetrical methods to solve them Journal of Computational and Applied Mathematics Volume: 306, 2016, 1-9.

1. Member of the Dissertation Council of the Institute of Control Systems

2. Member of the Scientific Council of the Faculty of Mechanics and Mathematics of BSU

46 years

1. 2006 - present, professor of the Department of Computational Mathematics, Mechanics and Mathematics Department of BSU

2. 2004-2011, Vice Rector of BSU

3. 1985-2006, Associate Professor, Department of Computational Mathematics, Mechanics and Mathematics Department, BSU

4. 1982-1985, Senior teacher, Department of Computational Mathematics, Mechanics and Mathematics Department, BSU.

5. 1975-1982, Assistant, Department of Computational Mathematics, Mechanics and Mathematics Department, BSU.

6. 1972-1975, graduate student of the Faculty of Mechanics and Mathematics of BSU

7. 1970-1972., Active military service in the army.

1. 2014: Diploma of the Science Development Fund under the President of the Republic of Azerbaijan, the Ministry of Communications and Information Technologies of the Republic of Azerbaijan and the National Commission of the Republic of Azerbaijan for UNESCO (for the second place in the competition for the best scientific work in the field of ICT).

2. 2011-2014. Grant of the Science Development Fund under the President of the Republic of Azerbaijan.

3. 2011. Diploma "Development of Science" of the international organization IASHE London.

4. 2009, Honored Teacher of the Republic of Azerbaijan.

Ibvag47@mail.ru