Ryazantseva Irina Prokofyevna (born January 16, 1949, in the selo of Yenkayevo, Kadomsky District, Ryazan Region) is a Nizhny Novgorod mathematician, Doctor of Physical and Mathematical Sciences since 1996, and professor in the Department of Applied Mathematics at the Nizhny Novgorod State Technical University; her research focuses on functional analysis and ill-posed nonlinear problems of monotone type.[1][2]
From radiophysics to applied mathematics
She graduated from Gorky State University named after N. I. Lobachevsky in 1971 with a degree in mathematics.[1]
She worked at the Research Radiophysics Institute and the Gorky Institute of Water Transport Engineers, and from 1988 onward at the technical university, where she has held the rank of professor since 1997.[1]
She continues to work in the Department of Applied Mathematics at the technical university in Nizhegorodsky District, Nizhny Novgorod; the university's staff registry lists her length of service as forty-four years.[2]
Ill-posed problems of monotone type
Ryazantseva's research interests lie in functional analysis and ill-posed nonlinear problems of monotone type: regularization of equations with monotone discontinuous operators, variational inequalities, and iterative and continuous regularization methods.[1][3][4]
Her first papers on the regularization of nonlinear equations with monotone discontinuous operators were published in the Journal of Computational Mathematics and Mathematical Physics as early as 1976.[4] Nearly half a century later, in 2023, her paper on a continuous method for finding a generalized fixed point of a nonexpansive mapping appeared in Differential Equations.[3]
Between these two dates — publications in the *Doklady Akademii Nauk*, *Matematicheskie Zametki*, *Sibirsky Matematichesky Zhurnal*, *Izvestiya Vuzov. Matematika*, and the foreign *Journal of Nonlinear and Convex Analysis*; by the late 2000s they numbered more than ninety.[1][3][5][4]
| Year | Work |
|---|---|
| 1976 | regularization of nonlinear equations with monotone discontinuous operators, Journal of Computational Mathematics and Mathematical Physics |
| 1979 | solution of nonlinear equations with discontinuous monotone operators, Siberian Mathematical Journal |
| 1984 | variational inequalities with monotone operators, Journal of Computational Mathematics and Mathematical Physics |
| 2007 | first-order continuous regularization method, Izvestiya Vuzov. Matematika |
| 2020 | third-order iterative regularization for monotone equations in Hilbert space, Differential Equations |
| 2023 | continuous method for finding the generalized fixed point of a nonexpansive mapping, Differential Equations |
Teaching
Ryazantseva teaches mathematics to future nuclear engineers: her name appears on the faculty list for the program "Nuclear Power Plants: Design, Operation, and Engineering."[2]
She speaks German and English; her outside interests, as listed in the reference book, include reading, sport, and classical music.[1]
A mathematician at a technical university
The Department of Applied Mathematics, where Ryazantseva works, is one of the general-education departments of the technical university responsible for mathematical training of engineering students in the Nizhny Novgorod Region.[2]
The consistency of her research focus — ill-posed problems with monotone operators — is rare even in academic circles: the same scholarly line has been pursued for more than forty-five years and continues to produce publications in leading mathematical journals.[3][4]
Sources
- yumpu.com — Who's Who in Nizhny Novgorod Region — Issue 5. Nizhny Novgorod, 2009. Ryazantseva Irina Prokofyevna, p. 171 (archive)
- nntu.ru — NSTU named after R. E. Alekseev (archive)
- doi.org — Differential Equations — I. P. Ryazantseva. A continuous method for finding a generalized fixed point of a nonexpansive mapping, 2023
- doi.org — Computational Mathematics and Mathematical Physics — I. P. Ryazantseva. Regularization of nonlinear equations with monotone discontinuous operators, 1976
- doi.org — Differential Equations — I. P. Ryazantseva. Third-order iterative regularization for monotone equations in a Hilbert space, 2020