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1

Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

Brunner, Hermann, Pedas, Arvet, Vainikko, Gennadi

Journal:

SIAM Journal on Numerical Analysis

Year:

2001

Language:

english

File:

PDF, 251 KB

english, 2001

2

Which Functions are Fractionally Differentiable?

Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2016

Language:

english

File:

PDF, 314 KB

english, 2016

3

Approximation Procedures in Nonlinear Oscillation Theory.by Nikolai A. Bobylev; Yuri M. Burman; Sergey K. Korovin

Review by: Gennadi Vainikko

Journal:

Year:

1996

Language:

english

File:

PDF, 306 KB

english, 1996

4

The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations

Pedas, Arvet, Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

1994

Language:

english

File:

PDF, 997 KB

english, 1994

5

Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations

Pedas, Arvet, Vainikko, Gennadi

Journal:

Journal of Integral Equations and Applications

Year:

1997

File:

PDF, 341 KB

1997

6

On the Optimality of Methods for Ill-Posed Problems

Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

1987

Language:

english

File:

PDF, 1.00 MB

english, 1987

7

The Piecewise Polynomial Collocation Method for Nonlinear Weakly Singular Volterra Equations

Hermann Brunner, Arvet Pedas and Gennadi Vainikko

Journal:

Mathematics of Computation

Year:

1999

Language:

english

File:

PDF, 1.40 MB

english, 1999

8

Nyström type methods for Fredholm integral equations with weak singularities

Kerli Orav-Puurand, Arvet Pedas, Gennadi Vainikko

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 379 KB

english, 2010

9

A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations

Vainikko, Eero, Vainikko, Gennadi

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 294 KB

english, 2008

10

AIP Conference Proceedings [AIP Publishing LLC PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) - Rhodes, Greece (22–28 September 2014)] - Inversion of the Riemann-Liouville integral operator and application to Abel equation1)

Vainikko, Gennadi

Year:

2015

Language:

english

File:

PDF, 243 KB

english, 2015

11

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Single Layer and Double Layer Potentials

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.79 MB

english, 2002

12

Positive Solution of Lighthill-Type Equations

Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2018

Language:

english

File:

PDF, 301 KB

english, 2018

13

Numerical treatment of the Cauchy integral equation by discrete Fourier transform

Valentina Kolybasova, Pavel Krutitskii, Konstantin Prozorov, Gennadi Vainikko

Journal:

International Journal for Numerical Methods in Biomedical Engineering

Year:

2011

Language:

english

File:

PDF, 133 KB

english, 2011

14

A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed Curves

Kelle, O., Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

1995

Language:

english

File:

PDF, 1.38 MB

english, 1995

15

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Solution of Boundary Value Problems by Integral Equations

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.66 MB

english, 2002

16

On the discretization and regularization of ill-posed problems with noncompact operators

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

1992

Language:

english

File:

PDF, 1.52 MB

english, 1992

17

First Kind Cordial Volterra Integral Equations 2

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2014

Language:

english

File:

PDF, 270 KB

english, 2014

18

Über die Konvergenz und Divergenz von Näherungsmethoden bei Eigenwertproblemen

Gennadi Vainikko

Journal:

Mathematische Nachrichten

Year:

1977

Language:

german

File:

PDF, 932 KB

german, 1977

19

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Trigonometric Interpolation

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 1.18 MB

english, 2002

20

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Trigonometric Collocation

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.32 MB

english, 2002

21

AIP Conference Proceedings [AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics - Kos, Greece (19–25 September 2012)] - What is the complexity of weakly singular integral equations?

Pedas, Arvet, Vainikko, Gennadi

Year:

2012

Language:

english

File:

PDF, 134 KB

english, 2012

22

[AIP NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2 - Rethymno, Crete (Greece) (18–22 September 2009)] AIP Conference Proceedings - Cordial Volterra Integral Operators and Equations

Vainikko, Gennadi, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2009

Language:

english

File:

PDF, 190 KB

english, 2009

23

Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik

Gennadi Vainikko

Journal:

Mathematische Nachrichten

Year:

1977

Language:

german

File:

PDF, 939 KB

german, 1977

24

The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations

Brunner, Hermann, Pedas, Arvet, Vainikko, Gennadi

Journal:

Mathematics of Computation

Year:

1999

Language:

english

File:

PDF, 288 KB

english, 1999

25

A Spline Product Quasi-Interpolation Method for Weakly Singular Fredholm Integral Equations

Eero Vainikko and Gennadi Vainikko

Journal:

SIAM Journal on Numerical Analysis

Year:

2008

Language:

english

File:

PDF, 1.56 MB

english, 2008

26

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Singular Integral Equations

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 1.91 MB

english, 2002

27

Central Part Interpolation Schemes for Integral Equations

Orav-Puurand, Kerli, Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 168 KB

english, 2009

28

Limit spectrum of discretely converging operators

Nevanlinna, Olavi, Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

1996

Language:

english

File:

PDF, 440 KB

english, 1996

29

On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals

Arvet Pedas, Gennadi Vainikko

Journal:

Journal of Computational and Applied Mathematics

Year:

2009

Language:

english

File:

PDF, 843 KB

english, 2009

30

Product Quasi-Interpolation in Logarithmically Singular Integral Equations

Vainikko, Eero, Vainikko, Gennadi

Journal:

Mathematical Modelling and Analysis

Year:

2012

Language:

english

File:

PDF, 891 KB

english, 2012

31

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Integral Equations on an Open Arc

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.28 MB

english, 2002

32

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Galerkin Method and Fast Solvers

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.65 MB

english, 2002

33

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Boundary Integral Operators in Periodic Sobolev Spaces

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.12 MB

english, 2002

34

Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels

Hermann Brunner, Arvet Pedas and Gennadi Vainikko

Journal:

SIAM Journal on Numerical Analysis

Year:

2002

Language:

english

File:

PDF, 544 KB

english, 2002

35

Fast Solvers of Integral Equations of the Second Kind: Quadrature Methods

Vainikko, Gennadi

Journal:

Journal of Integral Equations and Applications

Year:

2005

Language:

english

File:

PDF, 240 KB

english, 2005

36

Cordial Volterra Integral Equations 1

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2009

Language:

english

File:

PDF, 333 KB

english, 2009

37

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Periodic Integral Equations

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.27 MB

english, 2002

38

A Smooth Solution of a Singular Fractional Differential Equation

Lätt, Kaido, Pedas, Arvet, Vainikko, Gennadi

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2015

Language:

english

File:

PDF, 304 KB

english, 2015

39

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Quadrature Methods

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 3.05 MB

english, 2002

40

Spline Collocation for Cordial Volterra Integral Equations

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2010

Language:

english

File:

PDF, 210 KB

english, 2010

41

[AIP COMPUTATIONAL METHODS IN SCIENCE AND ENGINEERING: Advances in Computational Science: Lectures presented at the International Conference on Computational Methods in Sciences and Engineering 2008 (ICCMSE 2008) - Hersonissos, Crete (Greece) (25–30 September 2008)] AIP Conference Proceedings - A Collocation Method for Volterra Integral Equations with Diagonal and Boundary Singularities

Kolk, Marek, Pedas, Arvet, Vainikko, Gennadi, Maroulis, George, Simos, Theodore E.

Year:

2009

Language:

english

File:

PDF, 679 KB

english, 2009

42

Applicability of Spline Collocation to Cordial Volterra Equations

Diogo, Teresa, Vainikko, Gennadi

Journal:

Mathematical Modelling and Analysis

Year:

2013

Language:

english

File:

PDF, 536 KB

english, 2013

43

Error bounds of discretization methods for boundary integral equations with noisy data

Bruckner, Gottfried, Prössdorf, Siegfried, Vainikko, Gennadi

Journal:

Applicable Analysis

Year:

1996

Language:

english

File:

PDF, 431 KB

english, 1996

44

Identifiability of the Transmissivity Coefficient in an Elliptic Boundary Value Problem

Vainikko, Gennadi, Kunisch, Karl

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

1993

Language:

english

File:

PDF, 937 KB

english, 1993

45

Cordial Volterra Integral Equations 2

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2010

Language:

english

File:

PDF, 199 KB

english, 2010

46

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - A Product Quasi-Interpolation Method for Weakly Singular Volterra Integral Equations

Vainikko, Eero, Vainikko, Gennadi, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 178 KB

english, 2007

47

[AIP Numerical Analysis and Applied Mathematics - Corfu, Greece (16-20 September 2007)] AIP Conference Proceedings - Numerical Solution of Fredholm Integral Equations with Diagonal and Boundary Singularities

Pedas, Arvet, Vainikko, Gennadi, Simos, Theodore E., Psihoyios, George, Tsitouras, Ch.

Year:

2007

Language:

english

File:

PDF, 442 KB

english, 2007

48

[Springer Monographs in Mathematics] Periodic Integral and Pseudodifferential Equations with Numerical Approximation || Spline Approximation Methods

Saranen, Jukka, Vainikko, Gennadi

Year:

2002

Language:

english

File:

PDF, 2.88 MB

english, 2002

49

Approximation Procedures in Nonlinear Oscillation Theory (Nikolai A. Bobylev, Yuri M. Burman, and Sergey K. Korovin)

Vainikko, Gennadi

Journal:

Year:

1996

Language:

english

File:

PDF, 312 KB

english, 1996

50

First Kind Cordial Volterra Integral Equations 1

Vainikko, Gennadi

Journal:

Numerical Functional Analysis and Optimization

Year:

2012

Language:

english

File:

PDF, 224 KB

english, 2012

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