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1

Information Complexity of Multivariate Fredholm Integral Equations in Sobolev Classes

Karin Frank, Stefan Heinrich, Sergei Pereverzev

Journal:

Journal of Complexity

Year:

1996

Language:

english

File:

PDF, 323 KB

english, 1996

2

Regularized collocation method for Fredholm integral equations of the first kind

M. Thamban Nair, Sergei V. Pereverzev

Journal:

Journal of Complexity

Year:

2007

Language:

english

File:

PDF, 209 KB

english, 2007

3

Multi-parameter regularization and its numerical realization

Shuai Lu, Sergei V. Pereverzev

Journal:

Numerische Mathematik

Year:

2011

Language:

english

File:

PDF, 871 KB

english, 2011

4

Estimation of linear functionals from indirect noisy data without knowledge of the noise level

Sergei V. Pereverzev, Bernd Hofmann

Journal:

GEM - International Journal on Geomathematics

Year:

2010

Language:

english

File:

PDF, 181 KB

english, 2010

5

Geometry of linear ill-posed problems in variable Hilbert scales

Math, Peter, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2003

Language:

english

File:

PDF, 171 KB

english, 2003

6

The balancing principle for the regularization of elliptic Cauchy problems

Cao, Hui, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2007

Language:

english

File:

PDF, 607 KB

english, 2007

7

On the Characterization of Self-Regularization Properties of a Fully Discrete Projection Method for Symm's Integral Equation

Pereverzev, Sergei V., Prössdorf, Siegfried

Journal:

Journal of Integral Equations and Applications

Year:

2000

Language:

english

File:

PDF, 171 KB

english, 2000

8

Stable Summation of Orthogonal Series with Noisy Coefficients

Peter Mathé, Sergei V. Pereverzev

Journal:

Journal of Approximation Theory

Year:

2002

Language:

english

File:

PDF, 151 KB

english, 2002

9

On Optimization of Direct Methods of Solving Weakly Singular Integral Equations

Sergei V. Pereverzev, Sergei G. Solodky

Journal:

Journal of Complexity

Year:

1993

File:

PDF, 339 KB

1993

10

Brakhage's Implicit Iteration Method and the Information Complexity of Equations with Operators Having Closed Range

Sergei V Pereverzev, Eberhard Schock

Journal:

Journal of Complexity

Year:

1999

Language:

english

File:

PDF, 148 KB

english, 1999

11

Direct Estimation of Linear Functionals from Indirect Noisy Observations

Peter Mathé, Sergei V. Pereverzev

Journal:

Journal of Complexity

Year:

2002

Language:

english

File:

PDF, 152 KB

english, 2002

12

Dagstuhl 2000

Sergei V. Pereverzev, Grzegorz W. Wasilkowski

Journal:

Journal of Complexity

Year:

2002

File:

PDF, 34 KB

2002

13

Information complexity of equations of the second kind with compact operators in Hilbert space

Sergei V Pereverzev, Cosnazar C Scharipov

Journal:

Journal of Complexity

Year:

1992

Language:

english

File:

PDF, 1.03 MB

english, 1992

14

On regularization algorithms in learning theory

Frank Bauer, Sergei Pereverzev, Lorenzo Rosasco

Journal:

Journal of Complexity

Year:

2007

Language:

english

File:

PDF, 296 KB

english, 2007

15

An adaptive discretization for Tikhonov-Phillips regularization with a posteriori parameter selection

Peter Maaß, Sergei V. Pereverzev, Ronny Ramlau, Sergei G. Solodky

Journal:

Numerische Mathematik

Year:

2001

Language:

english

File:

PDF, 170 KB

english, 2001

16

Local Solutions to Inverse Problems in Geodesy

Frank Bauer, Peter Mathé, Sergei Pereverzev

Journal:

Journal of Geodesy

Year:

2007

Language:

english

File:

PDF, 260 KB

english, 2007

17

Self–regularization by projection for noisy pseudodifferential equations of negative order

Helmut Harbrecht, Sergei Pereverzev, Reinhold Schneider

Journal:

Numerische Mathematik

Year:

2003

Language:

english

File:

PDF, 214 KB

english, 2003

18

On the balancing principle for some problems of Numerical Analysis

Raytcho D. Lazarov, Shuai Lu, Sergei V. Pereverzev

Journal:

Numerische Mathematik

Year:

2007

Language:

english

File:

PDF, 554 KB

english, 2007

19

Sparse recovery by the standard Tikhonov method

Shuai Lu, Sergei V. Pereverzev

Journal:

Numerische Mathematik

Year:

2009

Language:

english

File:

PDF, 571 KB

english, 2009

20

Adaptive estimation of linear functionals in Hilbert scales from indirect white noise observations

Alexander Goldenshluger, Sergei V. Pereverzev

Journal:

Probability Theory and Related Fields

Year:

2000

Language:

english

File:

PDF, 126 KB

english, 2000

21

The discretized discrepancy principle under general source conditions

Peter Mathé, Sergei V. Pereverzev

Journal:

Journal of Complexity

Year:

2006

Language:

english

File:

PDF, 172 KB

english, 2006

22

The use of higher order finite difference schemes is not dangerous

Peter Mathé, Sergei V. Pereverzev

Journal:

Journal of Complexity

Year:

2009

Language:

english

File:

PDF, 577 KB

english, 2009

23

On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

Pereverzev, Sergei, Schock, Eberhard

Journal:

SIAM Journal on Numerical Analysis

Year:

2005

Language:

english

File:

PDF, 199 KB

english, 2005

24

Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods

Mathé, Peter, Pereverzev, Sergei V.

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 246 KB

english, 2001

25

Regularized Total Least Squares: Computational Aspects and Error Bounds

Lu, Shuai, Pereverzev, Sergei V., Tautenhahn, Ulrich

Journal:

SIAM Journal on Matrix Analysis and Applications

Year:

2010

Language:

english

File:

PDF, 675 KB

english, 2010

26

The balancing principle in solving semi-discrete inverse problems in Sobolev scales by Tikhonov method

Pereverzev, Sergei V., Solodky, Sergei G., Volynets, Evgeny A.

Journal:

Applicable Analysis

Year:

2012

Language:

english

File:

PDF, 193 KB

english, 2012

27

An analysis of Tikhonov regularization for nonlinear ill-posed problems under a general smoothness assumption

Lu, Shuai, Pereverzev, Sergei V, Ramlau, Ronny

Journal:

Inverse Problems

Year:

2007

Language:

english

File:

PDF, 344 KB

english, 2007

28

Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise

Lu, Shuai, Naumova, Valeriya, Pereverzev, Sergei V.

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2013

Language:

english

File:

PDF, 306 KB

english, 2013

29

Regularization of some linear ill-posed problems with discretized random noisy data

Mathé, Peter, Pereverzev, Sergei V.

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 279 KB

english, 2006

30

Discretized Tikhonov regularization for Robin boundaries localization

Cao, Hui, Pereverzev, Sergei V., Sincich, Eva

Journal:

Applied Mathematics and Computation

Year:

2014

Language:

english

File:

PDF, 750 KB

english, 2014

31

MODULI OF CONTINUITY FOR OPERATOR VALUED FUNCTIONS

Mathé, Peter, Pereverzev, Sergei V.

Journal:

Numerical Functional Analysis and Optimization

Year:

2002

Language:

english

File:

PDF, 201 KB

english, 2002

32

A model function method in regularized total least squares

Lu, Shuai, Pereverzev, Sergei V., Tautenhahn, Ulrich

Journal:

Applicable Analysis

Year:

2010

Language:

english

File:

PDF, 453 KB

english, 2010

33

Model functions in the modified L -curve method—case study: the heat flux reconstruction in pool boiling

Heng, Yi, Lu, Shuai, Mhamdi, Adel, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2010

Language:

english

File:

PDF, 992 KB

english, 2010

34

A Carleman estimate and the balancing principle in the quasi-reversibility method for solving the Cauchy problem for the Laplace equation

Cao, Hui, Klibanov, Michael V, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2009

Language:

english

File:

PDF, 1.17 MB

english, 2009

35

Regularization of Some Linear Ill-Posed Problems with Discretized Random Noisy Data

Peter Mathé and Sergei V. Pereverzev

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 432 KB

english, 2006

36

Natural linearization for the identification of a diffusion coefficient in a quasi-linear parabolic system from short-time observations

Cao, Hui, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2006

Language:

english

File:

PDF, 318 KB

english, 2006

37

Discrepancy curves for multi-parameter regularization

Lu, Shuai, Pereverzev, Sergei V., Shao, Yuanyuan, Tautenhahn, Ulrich

Journal:

Journal of Inverse and Ill-Posed Problems

Year:

2010

Language:

english

File:

PDF, 831 KB

english, 2010

38

Sparse reconstruction by means of the standard Tikhonov regularization

Lu, Shuai, Pereverzev, Sergei V

Journal:

Journal of Physics Conference Series

Year:

2008

Language:

english

File:

PDF, 760 KB

english, 2008

39

Nikolai Pavlovich Korneichuk (on his seventieth birthday)

Motornyi, V P, Nazarenko, N A, Nikol'skii, Sergei M, Pereverzev, S V, Ruban, V I, Velikin, V L

Journal:

Russian Mathematical Surveys

Year:

1990

Language:

english

File:

PDF, 278 KB

english, 1990

40

Numerical differentiation from a viewpoint of regularization theory

Lu, Shuai, Pereverzev, Sergei V.

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 288 KB

english, 2006

41

Discretization strategy for linear ill-posed problems in variable Hilbert scales

Mathé, Peter, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2003

Language:

english

File:

PDF, 239 KB

english, 2003

42

Self-regularization of projection methods with a posteriori discretization level choice for severely ill-posed problems

Bruckner, Gottfried, Pereverzev, Sergei V

Journal:

Inverse Problems

Year:

2003

Language:

english

File:

PDF, 130 KB

english, 2003

43

Error estimates for band-limited spherical regularization wavelets in an inverse problem of satellite geodesy

Pereverzev, Sergei, Schock, Eberhard

Journal:

Inverse Problems

Year:

1999

Language:

english

File:

PDF, 246 KB

english, 1999

44

On Adaptive Inverse Estimation of Linear Functionals in Hilbert Scales

Alexander Goldenshluger and Sergei V. Pereverzev

Journal:

Year:

2003

Language:

english

File:

PDF, 2.37 MB

english, 2003

45

On the Adaptive Selection of the Parameter in Regularization of Ill-Posed Problems

Sergei Pereverzev and Eberhard Schock

Journal:

SIAM Journal on Numerical Analysis

Year:

2006

Language:

english

File:

PDF, 443 KB

english, 2006

46

Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods

Peter Mathé and Sergei V. Pereverzev

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 537 KB

english, 2001

47

Regularization Theory for Ill-posed Problems (Selected Topics) || Chapter 2. Basics of single parameter regularization schemes

Lu, Shuai, Pereverzev, Sergei V.

Year:

2013

Language:

english

File:

PDF, 980 KB

english, 2013

48

Numerical Differentiation from a Viewpoint of Regularization Theory

Shuai Lu and Sergei V. Pereverzev

Journal:

Mathematics of Computation

Year:

2006

Language:

english

File:

PDF, 431 KB

english, 2006

49

Natural linearization for corrosion identification

Cao, Hui, Pereverzev, Sergei V, Sincich, Eva

Journal:

Journal of Physics Conference Series

Year:

2008

Language:

english

File:

PDF, 686 KB

english, 2008

50

Regularization without preliminary knowledge of smoothness and error behaviour

BAUER, FRANK, PEREVERZEV, SERGEI

Journal:

European Journal of Applied Mathematics

Year:

2005

Language:

english

File:

PDF, 160 KB

english, 2005