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The ninth international conference
"Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023)

(December 4–6, 2023, Moscow Institute of Physics and Technology, Dolgoprudny, Moscow Region)

The conference is dedicated to modern mathematical methods of wave propagation and non-destructive exploration analysis.

The mathematical problems to be discussed at the conference originate from
- different types of tomography (i.e. acoustic tomography, tomography using the elementary particles, electromagnetic tomography),
- analysing the shumpeters dynamics in the economical growth models,
- analysing wave movement, and in particular shock wave dynamics.

During the conference the latest achievements in the fields of quasilinear equations and inverse problems will be discussed, as well as their feasible applications in medicine, geophysics, nanophysics, economical dynamics and transport flow modelling, disperse media physics, etc.

E-mail:
Website: https://qipa2023.mipt.ru

Program

Program Committee
Shananin Aleksandr Alekseevich (Co-chairman)
Novikov Roman Gennadievich (Co-chairman)
Taimanov Iskander Asanovich (Co-chairman)
Belishev Mikhail Igorevich
Golse F
Hasanoglu A
Kabanikhin Sergey Igorevich
Mironov Andrei Evgen'evich
Pestov Leonid Nikolaevich
Petrov Igor Borisovich
Romanov Vladimir Gavrilovich

Organizing Committee
Kon'kov Konstantin Alekseevich (Chairman)
Molchanov Evgenii Gennad'evich
Podobnaya Elena Dmitrievna
Rassokha Anastasiya Vladimirovna
Shananin Aleksandr Alekseevich

Institutions
The Eurasian Association on Inverse Problems
Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Phystech School of Applied Mathematics and Informatics, Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow region


The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023), Dolgoprudny, Moscow Region, December 4–6, 2023

December 4, 2023 (Mon)
1. Welcome
December 4, 2023 10:20–10:30, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Plenary Session
2. Bloch function on non-simply-connected manifolds
I. A. Taimanov
December 4, 2023 10:30–11:05, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
3. Regularization - from linear algebra to neural network
S. I. Kabanikhin
December 4, 2023 11:05–11:40, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
4. How experimental studies and data-driven constitutive modeling can help in the aortic valve neocuspidization
Yu. V. Vassilevski, A. Ovsepyan, V. Yu. Salamatova, A. Liogky
December 4, 2023 11:40–12:15, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
5. Inverse problems for some nonlinear equations
V. G. Romanov
December 4, 2023 12:25–13:00, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
6. Rich tomography: strain and texture
W. Lionheart
December 4, 2023 13:00–13:35, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
7. Rank one commuting ordinary differential operators as a limit of commuting difference operators
A. E. Mironov
December 4, 2023 13:35–14:10, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Inverse problems and tomography
8. On the Boundary Control method in discrete and continuous cases and related issues
A. S. Mikhailov, V. S. Mikhailov
December 4, 2023 14:35–15:00, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
9. Stability of solutions of the two-dimensional EIT problem
D. V. Korikov, M. I. Belishev
December 4, 2023 15:00–15:25, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
10. PSWF-Radon approach to super-resolution in Fourier analysis
M. I. Isaev, R. G. Novikov
December 4, 2023 15:25–15:50, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
11. The ray transform of symmetric tensor fields with incomplete projection data. Cormack-type inversion formula for the two-dimensional ray transform
N. A. Vaytsel, V. A. Sharafutdinov
December 4, 2023 15:50–16:15, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
12. Killing tensor fields on a Riemannian 2-torus
V. A. Sharafutdinov
December 4, 2023 16:15–16:40, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
13. A simple range characterization for spherical mean transform of radial functions in odd dimensions
V. Krishnan, G. Ambartsoumian, N. Singha, D. Agrawal
December 4, 2023 16:50–17:15, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
14. Determination of a spatial load in a damped Kirchhoff-Love plate equation
A. Dileep, S. Kumaraswamy
December 4, 2023 17:15–17:40, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
15. Inverse problems of acoustical tomography
M. A. Shishlenin, S. I. Kabanikhin, N. S. Novikov
December 4, 2023 17:40–18:05, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
16. Passive seismoacoustic tomography of Hawaiian islands region
A. Shurup, D. Presnov, A. L. Sobisevich
December 4, 2023 18:05–18:30, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
17. The possibilities of designing acoustic metamaterials using the scattering coefficients of their individual elements
K. V. Dmitriev
December 4, 2023 18:30–18:55, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
18. Algorithm for correcting fields measured during acoustic tomography
D. Zotov
December 4, 2023 18:55–19:20, Inverse problems and tomography, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology

Optimization methods
19. Adaptive subgradient methods for mathematical programming problems with quasi-convex functions
S. S. Ablaev, F. S. Stonyakin, M. S. Alkousa, A. V. Gasnikov
December 4, 2023 15:00–15:25, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
20. Numerical solution to an inverse problem for a hyperbolic heat equation with small parameter
G. D. Akindinov, V. V. Matyukhin, O. I. Krivorotko
December 4, 2023 15:25–15:50, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
21. Examples of saddle problems with composite structure for which complexity separation plays a key role
E. D. Borodich
December 4, 2023 15:50–16:15, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
22. On decentralized nonsmooth optimization
S. Chezhegov, A. V. Gasnikov, A. V. Rogozin
December 4, 2023 16:15–16:40, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
23. Gradient-free algorithm for solving saddle point problem under overparameterization condition
A. V. Lobanov
December 4, 2023 16:50–17:15, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
24. Application of first-order optimization methods to solving the retrospective Cauchy problem for the three-dimensional heat equation
N. V. Pletnev
December 4, 2023 17:15–17:40, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
25. Online optimization problems with functional constraints under relative Lipschitz continuity and relative strong convexity conditions
O. S. Savchuk, A. A. Titov, A. V. Gasnikov, F. S. Stonyakin, M. S. Alkousa, R. Zabirova
December 4, 2023 17:40–18:05, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
26. Gradient-Type Method for Optimization Problems with Polyak-Lojasiewicz Condition: Relative Inexactness in Gradient and Adaptive Parameters Setting
S. M. Puchinin, F. S. Stonyakin, M. S. Alkousa
December 4, 2023 18:05–18:30, Optimization methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

December 5, 2023 (Tue)

Plenary Session
27. Carleman estimates for mean field games
M. V. Klibanov
December 5, 2023 09:30–10:05, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
28. On wave motion in lattices: few conundrums and some recent developments in discrete scattering
B. L. Sharma
December 5, 2023 10:05–10:40, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
29. On normal forms of quasilinear differential operators
V. V. Lychagin
December 5, 2023 10:40–11:15, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
30. Joint data processing of gravimetric and magnetometric data in geophysics
A. G. Yagola
December 5, 2023 11:25–12:00, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
31. Continuous combinatorics
G. A. Koshevoy
December 5, 2023 12:00–12:35, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
32. A holographic uniqueness theorem
R. G. Novikov
December 5, 2023 12:35–13:10, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Mathematical methods of inverse problems and quasilinear equations
33. E. Cartan's normal projective connectivity and Riemann metrics associated with the system of Navier-Stokes equations
V. S. Dryuma
December 5, 2023 14:00–14:25, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
34. Euler-Poisson equations: singularities of solutions and regularizers
O. S. Rozanova
December 5, 2023 14:25–14:50, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
35. Algorithms for solving the inverse scattering problem for the Manakov model
L. L. Frumin, A. Chernyavsky, O. V. Belai
December 5, 2023 14:50–15:15, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
36. Inverse optimal control of stochastic swing equation driven by Levy process
E. Tamci, F. Savac.
December 5, 2023 15:15–15:40, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
37. Inverse problems for the higher order nonlinear Schrodinger equation
A. V. Faminskii
December 5, 2023 15:50–16:15, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
38. Dualism in the theory of soliton solutions
L. A. Beklaryan, A. L. Beklaryan
December 5, 2023 16:15–16:40, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
39. Degenerate Fourier transforms and their applications to mathematical physics
A. V. Gorshkov
December 5, 2023 16:40–17:05, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
40. Asymptotically isospectral periodic graphs
N. Yu. Saburova
December 5, 2023 17:05–17:30, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
41. Invariant 3D-Schrödinger operator with point interactions
V. V. Marchenko, M. M. Malamud
December 5, 2023 17:30–17:55, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
42. To the Grinevich-Novikov problem regarding invariant Schrodiger operators with point interactions
M. M. Malamud, V. V. Marchenko
December 5, 2023 17:55–18:20, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
43. Explicit formulas for Poincaré–Steklov operators and their numerical implementation
A. S. Demidov, A. S. Samokhin
December 5, 2023 18:20–18:45, Mathematical methods of inverse problems and quasilinear equations, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Mathematical modeling and computational mathematics
44. Inverse problem of economic growth model under epidemic conditions and deep learning regularization
O. I. Krivorotko, S. I. Kabanikhin, N. Yu. Zyatkov
December 5, 2023 14:00–14:30, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
45. Mathematical model of population dynamics with sequential modification genotypes
A. S. Bratus', A. Nepogodin
December 5, 2023 14:30–15:00, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
46. Grid approximations of some nonlinear equations and differential inclusions with fractional time derivatives
A. V. Lapin
December 5, 2023 15:00–15:30, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
47. About the interior of one set-valued integral
M. V. Balashov
December 5, 2023 15:30–16:00, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
48. Regularization of the information propagation in online social networks based on mean-field theory
T. A. Zvonareva, O. I. Krivorotko
December 5, 2023 16:00–16:30, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
49. Numerical implementation of an inverse mean field game problem in epidemiology
A. V. Neverov, O. I. Krivorot'ko
December 5, 2023 16:30–17:00, Mathematical modeling and computational mathematics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

December 6, 2023 (Wed)

Plenary Session
50. Point scatterers and transmission eigenvalues
P. G. Grinevich, R. G. Novikov
December 6, 2023 09:30–10:05, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
51. Полулагранжевы аппроксимации уравнения конвекции-диффузии с локально-интегральным законом сохранения квадрата решения
V. V. Shaidurov, О. Чередниченко
December 6, 2023 10:05–10:40, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
52. Scenario analysis of inflationary risks in the context of economic restructuring and resource constraints: models of intersectoral balance taking into account the substitution of production factors
A. A. Shananin, N. K. Obrosova
December 6, 2023 10:40–11:15, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
53. Numerical solutions of the industrial arctic problems
I. B. Petrov
December 6, 2023 11:25–12:00, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
54. Reconstruction algorithm of shear force in atomic force microscopy from measured displacement
O. Baysal, A. Hasanov
December 6, 2023 12:00–12:35, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
55. Quantitative passive imaging by iterative helioseismic holography
T. Hohage
December 6, 2023 12:35–13:10, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
56. Conference closing
December 6, 2023 19:00–19:10, Plenary Session, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Inverse problems of mathematical physics
57. Learning Data-Driven Basis for Inverse Scattering
S. Meng
December 6, 2023 14:00–14:25, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
58. Inverse problems for the Helmholtz equation
K. B. Sabitov
December 6, 2023 14:25–14:50, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
59. Multipoint formulas in inverse problems and their numerical implementation
V. N. Sivkin, R. G. Novikov, G. V. Sabinin
December 6, 2023 14:50–15:15, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
60. Compressed sensing for the sparse Radon transform
M. Santacesaria
December 6, 2023 15:15–15:40, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
61. Visualizing of scattered waves by the Boundary Control Method, numerical experiment
L. N. Pestov, V. V. Nosikova
December 6, 2023 15:50–16:15, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
62. Dynamic inverse problem for complex Jacobi matrices and related problems
A. S. Mikhailov, V. S. Mikhailov
December 6, 2023 16:15–16:40, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
63. Computational comparison between some numerical methods for image denoising and deblurring
A. A. Timonov
December 6, 2023 16:40–17:05, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
64. PSWF-Radon approach to reconstruction from band-limited Hankel transform
R. V. Zaytsev, R. G. Novikov, M. I. Isaev
December 6, 2023 17:05–17:30, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
65. The fixed angle scattering problem for velocity
Rakesh, M. Salo, L. Oksanen
December 6, 2023 17:30–17:55, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
66. Reconstruction techniques for complex potentials
V. V. Kravchenko
December 6, 2023 17:55–18:20, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
67. Inverse spectral problem for the fourth-order differential equation
N. P. Bondarenko
December 6, 2023 18:20–18:45, Inverse problems of mathematical physics, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Numerical methods
68. Direct numerical modeling and convolutional neural networks for medical ultrasound problems
A. V. Vasyukov
December 6, 2023 14:00–14:25, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
69. Grid-characteristic method on Chimera and body-fitted grids
A. V. Favorskaya
December 6, 2023 14:25–14:50, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
70. Acquiring elastic properties of isotropic thin plate from vibration testing experimental data
S. A. Lavrenkov, A. V. Vasyukov
December 6, 2023 14:50–15:15, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
71. Experience of simultaneous identification of volumetric heat capacity and thermal conductivity of a substance
V. I. Zubov
December 6, 2023 15:15–15:40, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
72. Influence of the step descente stochastic algorithm in the convergence of linear inverse problems
M. Fouad
December 6, 2023 15:40–16:05, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
73. Investigation of Reverse-Time Migration for acoustic and elastic models
A. V. Shevchenko, V. I. Golubev
December 6, 2023 16:05–16:30, Numerical methods, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  

Mathematical modeling in economics and epidemiology
74. Ill-Posed Problem for the Black-Scholes Equation solution and Machine Learning
K. Golubnichiy
December 6, 2023 16:40–17:05, Mathematical modeling in economics and epidemiology, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
75. Mathematical modeling of the household behavior in the labor market
N. V. Trusov, A. A. Shananin
December 6, 2023 17:05–17:30, Mathematical modeling in economics and epidemiology, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
76. The Schumpeterian dynamics with heterogeneous imitation range
L. V. Egorov
December 6, 2023 17:30–17:55, Mathematical modeling in economics and epidemiology, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
77. Uniqueness of prices in non-linear input-output models
O. I. Lavrin
December 6, 2023 17:55–18:20, Mathematical modeling in economics and epidemiology, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
78. An economic growth model incorporating the epidemic labor force shift
N. K. Obrosova, A. A. Shananin, A. A. Shananin, A. Spiridonov
December 6, 2023 18:20–18:45, Mathematical modeling in economics and epidemiology, Dolgoprudny, Moscow Region, Moscow Institute of Physics and Technology
  
 
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