• 87 Citations
  • 5 h-Index
20062020
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Research Output 2006 2019

  • 87 Citations
  • 5 h-Index
  • 34 Article
  • 2 Conference contribution
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Article
2019

Iterative Processes for Ill-Posed Problems with a Monotone Operator

Vasin, V. V., 1 Jul 2019, In : Siberian Advances in Mathematics. 29, 3, p. 217-229 13 p.

Research output: Contribution to journalArticle

Monotone Operator
Ill-posed Problem
Iterative Process
Regularization
Modified Newton Method
Newton-type Methods
Heavy water
Light transmission
Inverse problems
Atmosphere

Анализ регуляризующего алгоритма для линейного операторного уравнения, содержащего разрывную компоненту решения

Translated title of the contribution: Analysis of a regularization algorithm for a linear operator equation containing a discontinuous component of the solutionVasin, V. V. & Belyaev, V. V., 2019, In : Труды института математики и механики УрО РАН. 25, 3, p. 34-44 11 p.

Research output: Contribution to journalArticle

2018
Ill-posed Problem
Total Variation
Finite Difference Approximation
Henri Léon Lebésgue
Regularization Method
1 Citation (Scopus)
Nonlinear Ill-posed Problems
Operator
Analogue
Linear Convergence
Steepest Descent Method
2017
1 Citation (Scopus)
Derivatives
Finite-dimensional Approximation
Derivative
Total Variation
Numerical Experiment

Solution of the deconvolution problem in the general statement

Vasin, V. V. & Skorik, G. G., 1 Jul 2017, In : Proceedings of the Steklov Institute of Mathematics. 297, p. 211-222 12 p.

Research output: Contribution to journalArticle

Deconvolution
Volterra Equation
Exactness
Regularization Method
Variational Methods

ДВУХЭТАПНЫЙ МЕТОД ПОСТРОЕНИЯ РЕГУЛЯРИЗУЮЩИХ АЛГОРИТМОВ ДЛЯ НЕЛИНЕЙНЫХ НЕКОРРЕКТНЫХ ЗАДАЧ

Translated title of the contribution: A two-stage method of construction of regularizing algorithms for nonlinear ill-posed problemsVasin, V. V. & Skurydina, A. F., 2017, In : Труды института математики и механики УрО РАН. 23, 1, p. 57-74 18 p.

Research output: Contribution to journalArticle

2016
3 Citations (Scopus)

A new technique for solving pressure-rate deconvolution problem in pressure transient testing

Skorik, G. G., Vasin, V. V. & Kuchuk, F., Dec 2016, In : Journal of engineering mathematics. 101, 1, p. 189-200 12 p.

Research output: Contribution to journalArticle

Nonlinear Ill-posed Problems
Gradient methods
Regularization
Iteration
Linear Convergence
1 Citation (Scopus)
Ill-posed Problem
Total Variation
Regularization
Derivatives
Derivative
3 Citations (Scopus)

Regularized modified α-processes for nonlinear equations with monotone operators

Vasin, V. V., Jul 2016, In : Doklady Mathematics. 94, 1, p. 361-364 4 p.

Research output: Contribution to journalArticle

Two-step Method
Monotone Operator
Nonlinear Equations
Linear Convergence
Nonlinear Process

РЕШЕНИЕ ЗАДАЧИ ДЕКОНВОЛЮЦИИ В ОБЩЕЙ ПОСТАНОВКЕ

Translated title of the contribution: Solution of the deconvolution problem in the general statementВасин, В. В. & Скорик, Г. Г., 2016, In : Труды института математики и механики УрО РАН. 22, 2, p. 79-90 12 p.

Research output: Contribution to journalArticle

2015
5 Citations (Scopus)

Modified steepest descent method for nonlinear irregular operator equations

Vasin, V. V., May 2015, In : Doklady Mathematics. 91, 3, p. 300-303 4 p.

Research output: Contribution to journalArticle

2014
11 Citations (Scopus)

An analysis of Lavrentiev regularization method and Newton type process for nonlinear ill-posed problems

Vasin, V. & George, S., 1 Mar 2014, In : Applied Mathematics and Computation. 230, p. 406-413 8 p.

Research output: Contribution to journalArticle

Modified Newton Method
Nonlinear Ill-posed Problems
Gravimetric analysis
Monotone Operator
Lipschitz condition
4 Citations (Scopus)

Approximation of solutions with singularities of various types for linear ill-posed problems

Vasin, V. V., Jan 2014, In : Doklady Mathematics. 89, 1, p. 30-33 4 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Expanding the applicability of Tikhonov's regularization and iterative approximation for ill-posed problems

Vasin, V. & George, S., Aug 2014, In : Journal of Inverse and Ill-Posed Problems. 22, 4, p. 593-607 15 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)
Nonlinear Equations
Iteration
Gauss-Newton
Newton-type Methods
Operator Equation
Gravimetric analysis
Parallel algorithms
Interfaces (computer)
Computer systems
Gradient methods

РАЗДЕЛЬНОЕ ВОССТАНОВЛЕНИЕ КОМПОНЕНТ РЕШЕНИЯ С РАЗЛИЧНЫМИ ТИПАМИ ОСОБЕННОСТЕЙ ДЛЯ ЛИНЕЙНЫХ ОПЕРАТОРНЫХ УРАВНЕНИЙ ПЕРВОГО РОДА

Translated title of the contribution: Separate reconstruction of solution components with singularities of various types for linear operator equations of the first kindВасин, В. В. & Соболева, Е. О., 2014, In : Труды института математики и механики УрО РАН. 20, 2, p. 63-73

Research output: Contribution to journalArticle

Discrete Approximation
Stable Solution
Operator Equation
Approximation Scheme
Convergence Theorem
2013
24 Citations (Scopus)
Steepest descent method
Nonlinear Operator Equations
Tikhonov Regularization
Irregular
Approximation
5 Citations (Scopus)

Reconstruction of smooth and discontinuous components of solutions to linear ill-posed problems

Vasin, V. V., Feb 2013, In : Doklady Mathematics. 87, 1, p. 23-25 3 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)
Levenberg-Marquardt Method
Inverse Problem
Nonlinear Equations
Nonlinear Inverse Problems
Weak and Strong Convergence

ИТЕРАЦИОННЫЕ АЛГОРИТМЫ НЬЮТОНОВСКОГО ТИПА И ИХ ПРИЛОЖЕНИЯ К ОБРАТНОЙ ЗАДАЧЕ ГРАВИМЕТРИИ

Translated title of the contribution: Iterative Newton Type Algorithms and Its Applications to Inverse Gravimetry ProblemVasin, V. V., Akimova, E. N. & Miniakhmetova, A. F., Aug 2013, In : Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. 6, 3, p. 26-37 12 p.

Research output: Contribution to journalArticle

МОДИФИЦИРОВАННЫЕ ПРОЦЕССЫ НЬЮТОНОВСКОГО ТИПА, ПОРОЖДАЮЩИЕ ФЕЙЕРОВСКИЕ АППРОКСИМАЦИИ РЕГУЛЯРИЗОВАННЫХ РЕШЕНИЙ НЕЛИНЕЙНЫХ УРАВНЕНИЙ

Translated title of the contribution: Modified Newton-type processes generating Fejer approximations of regularized solutions to nonlinear equationsВасин, В. В., 2013, In : Труды института математики и механики УрО РАН. 19, 2, p. 85-97 13 p.

Research output: Contribution to journalArticle

Nonlinear Equations
Iteration
Gauss-Newton
Newton-type Methods
Operator Equation
2011
9 Citations (Scopus)
ground-based measurement
solar radiation
spectral resolution
atmospheres
atmosphere