Gennadi Vainikko

Follow

Generating author description...

All published works
Action Title Year Authors
+ Integral equations of the third kind in $L^p$ spaces 2020 Teresa Diogo
Arvet Pedas
Gennadi Vainikko
+ A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind 2019 Sumaira Rehman
Arvet Pedas
Gennadi Vainikko
+ PDF Chat About the convergence type of improper integrals defining fractional derivatives 2019 Britt Kalam
Gennadi Vainikko
+ Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations 2019 Arvet Pedas
Gennadi Vainikko
+ Cordial Volterra integral operators in spaces $L^{p}(0,T)$ 2019 Gennadi Vainikko
+ Positive Solution of Lighthill-Type Equations 2018 Gennadi Vainikko
+ PDF Chat FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND 2018 Sumaira Rehman
Arvet Pedas
Gennadi Vainikko
+ PDF Chat Which Functions are Fractionally Differentiable? 2016 Gennadi Vainikko
+ Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations 2016 Teresa Diogo
Pedro M. Lima
Arvet Pedas
Gennadi Vainikko
+ PDF Chat A Smooth Solution of a Singular Fractional Differential Equation 2015 Kaido Lätt
Arvet Pedas
Gennadi Vainikko
+ Inversion of the Riemann-Liouville integral operator and application to Abel equation1) 2015 Gennadi Vainikko
+ A Collocation Method Based on the Central Part Interpolation for Integral Equations 2015 Kerli Orav-Puurand
Arvet Pedas
Gennadi Vainikko
+ First Kind Cordial Volterra Integral Equations 2 2014 Gennadi Vainikko
+ PDF Chat APPLICABILITY OF SPLINE COLLOCATION TO CORDIAL VOLTERRA EQUATIONS 2013 Teresa Diogo
Gennadi Vainikko
+ On the regularity of solutions of nonlinear integral equations 2013 Arvet Pedas
Gennadi Vainikko
+ PDF Chat PRODUCT QUASI-INTERPOLATION IN LOGARITHMICALLY SINGULAR INTEGRAL EQUATIONS 2012 Eero Vainikko
Gennadi Vainikko
+ First Kind Cordial Volterra Integral Equations 1 2012 Gennadi Vainikko
+ What is the complexity of weakly singular integral equations? 2012 Arvet Pedas
Gennadi Vainikko
+ Spline Collocation-Interpolation Method for Linear and Nonlinear Cordial Volterra Integral Equations 2010 Gennadi Vainikko
+ Application of the discrete Fourier transform to solving the Cauchy integral equation 2010 В. В. Колыбасова
П. А. Крутицкий
K. V. Prozorov
Gennadi Vainikko
+ Spline Collocation for Cordial Volterra Integral Equations 2010 Gennadi Vainikko
+ Cordial Volterra Integral Equations 2 2010 Gennadi Vainikko
+ Nyström type methods for Fredholm integral equations with weak singularities 2010 Kerli Orav-Puurand
Arvet Pedas
Gennadi Vainikko
+ Spline Collocation—Product Interpolation for Cordial Volterra Integral Equation 2010 Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
+ Cordial Volterra integral equations of the first kind 2010 Gennadi Vainikko
J. Liivi
+ High-Order Methods for Volterra Integral Equations with General Weak Singularities 2009 Marek Kolk
Arvet Pedas
Gennadi Vainikko
+ Cordial Volterra Integral Equations 1 2009 Gennadi Vainikko
+ Numerical treatment of the Cauchy integral equation by discrete Fourier transform 2009 В. В. Колыбасова
П. А. Крутицкий
K. V. Prozorov
Gennadi Vainikko
+ PDF Chat Error Estimates for the Cardinal Spline Interpolation 2009 Gennadi Vainikko
+ Central Part Interpolation Schemes for Integral Equations 2009 Kerli Orav-Puurand
Gennadi Vainikko
+ PDF Chat CARDINAL APPROXIMATION OF FUNCTIONS BY SPLINES ON AN INTERVAL 2009 Gennadi Vainikko
+ Cordial Volterra Integral Operators and Equations 2009 Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
+ A Collocation Method for Volterra Integral Equations with Diagonal and Boundary Singularities 2009 Marek Kolk
Arvet Pedas
Gennadi Vainikko
George Maroulis
Theodore E. Simos
+ On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals 2008 Arvet Pedas
Gennadi Vainikko
+ A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations 2008 Eero Vainikko
Gennadi Vainikko
+ PDF Chat FAST SPLINE QUASICOLLOCATION SOLVERS OF INTEGRAL EQUATIONS 2007 Gennadi Vainikko
Indrek Zolk
+ PDF Chat QUASI-INTERPOLATION BY SPLINES ON THE UNIFORM KNOT SETS 2007 Evely Leetma
Gennadi Vainikko
+ Numerical Solution of Fredholm Integral Equations with Diagonal and Boundary Singularities 2007 Arvet Pedas
Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
+ PDF Chat A Product Quasi-Interpolation Method for Weakly Singular Volterra Integral Equations 2007 Eero Vainikko
Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
+ PDF Chat Integral Equations with Diagonal and Boundary Singularities of the Kernel 2006 Arvet Pedas
Gennadi Vainikko
+ Boundary singularities of solutions to integal equations of the second kind 2005 Arvet Pedas
Gennadi Vainikko
+ PDF Chat Fast Solvers of Integral Equations of the Second Kind: Quadrature Methods 2005 Gennadi Vainikko
+ Fast solvers of integral equations of the second kind: wavelet methods 2004 Gennadi Vainikko
Andi Kivinukk
J Lippus
+ Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations 2004 Arvet Pedas
Gennadi Vainikko
+ GMRES and discrete approximation of operators 2004 Gennadi Vainikko
+ Approaches to the summability of divergent multidimensional integrals 2003 Gennadi Vainikko
И. К. Лифанов
+ Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function 2002 Gennadi Vainikko
N V Lebedeva
И. К. Лифанов
+ Singular Integral Equations 2002 Jukka Saranen
Gennadi Vainikko
+ Periodic Integral and Pseudodifferential Equations with Numerical Approximation 2002 Jukka Saranen
Gennadi Vainikko
+ Periodic Integral Equations 2002 Jukka Saranen
Gennadi Vainikko
+ Solution of Boundary Value Problems by Integral Equations 2002 Jukka Saranen
Gennadi Vainikko
+ Trigonometric Interpolation 2002 Jukka Saranen
Gennadi Vainikko
+ Boundary Integral Operators in Periodic Sobolev Spaces 2002 Jukka Saranen
Gennadi Vainikko
+ Single Layer and Double Layer Potentials 2002 Jukka Saranen
Gennadi Vainikko
+ Integral Equations on an Open Arc 2002 Jukka Saranen
Gennadi Vainikko
+ Periodic Pseudodifferential Operators 2002 Jukka Saranen
Gennadi Vainikko
+ On the fast and fully discretized solution¶of integral and pseudo-differential equations¶on smooth curves 2001 Robert Plato
Gennadi Vainikko
+ PDF Chat The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres 2001 Robert Plato
Gennadi Vainikko
+ Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels 2001 Hermann Brunner
Arvet Pedas
Gennadi Vainikko
+ PDF Chat Fast solvers of generalized airfoil equation of index 1 2001 Gennadi Vainikko
+ Numerical Methods in Hypersingular Integral Equations and their Applications 2001 И. К. Лифанов
L. N. Poltavskii
Gennadi Vainikko
+ Periodic integral equations, the analyticity of the solutions and the exponential convergence of approximation methods 2001 Jukka Saranen
Gennadi Vainikko
+ Some projection schemes for nonlinear multidimensional weakly singular integral equations 2001 Arvet Pedas
Gennadi Vainikko
+ None 2001 Hermann Brunner
Arvet Pedas
Gennadi Vainikko
+ Fast solvers of generalized airfoil equation of index 2001 Gennadi Vainikko
+ Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves 2000 Gennadi Vainikko
И. К. Лифанов
+ Direct and Inverse Problems of Mathematical Physics 2000 Gennadi Vainikko
+ Modeling the problems of aerodynamics and wave diffractors, and the extension of Cauchy type integral operators on closed and open curves (in Russian) 2000 Gennadi Vainikko
И. К. Лифанов
+ PDF Chat An Integral Operator Representation of Classical Periodic Pseudodifferential Operators 1999 Gennadi Vainikko
+ PDF Chat Fast Collocation Solvers for Integral Equations on Open Arcs 1999 Jukka Saranen
Gennadi Vainikko
+ The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations 1999 Hermann Brunner
Arvet Pedas
Gennadi Vainikko
+ PDF Chat PERIODIZATION OF INTEGRAL EQUATIONS ON OPEN ARCS 1999 Jukka Saranen
Gennadi Vainikko
+ PDF Chat SPLINE COLLOCATION METHOD FOR WEAKLY SINGULAR INTEGRAL EQUATIONS 1999 Arvet Pedas
Gennadi Vainikko
+ PDF Chat On Symbol Analysis of Periodic Pseudo differential Operators 1998 Ville Turunen
Gennadi Vainikko
+ PDF Chat Fast solvers of integral and pseudodifferential equations on closed curves 1998 Jukka Saranen
Gennadi Vainikko
+ Trigonometric Galerkin fast solvers for periodic integral equations of the first kind 1998 Gennadi Vainikko
+ PDF Chat Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations 1997 Arvet Pedas
Gennadi Vainikko
+ Fast solvers of integral equations on closed curves 1997 Jukka Saranen
Gennadi Vainikko
+ Error bounds of discretization methods for boundary integral equations with noisy data 1996 Gottfried Brückner
Siegfried Prößdorf
Gennadi Vainikko
+ Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves 1996 Jukka Saranen
Gennadi Vainikko
+ Approximation Procedures in Nonlinear Oscillation Theory (Nikolai A. Bobylev, Yuri M. Burman, and Sergey K. Korovin) 1996 Gennadi Vainikko
+ Limit spectrum of discretely converging operators 1996 Olavi Nevanlinna
Gennadi Vainikko
+ Two‐Grid Solution of Symm's Integral Equation 1996 Jukka Saranen
Gennadi Vainikko
+ PDF Chat A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed Curves 1995 O. Kelle
Gennadi Vainikko
+ Weakly singular integral equations with operator-valued kernels and an application to radiation transfer problems 1995 Ekkehard Hennebach
Peter Junghanns
Gennadi Vainikko
+ M 1995 V. I. Pagurova
D. D. Sokolov
S. S. Marchenko
A. P. Ershov
A. I. Shtern
L. D. Kudryavtsev
M. M. Postnikov
А. И. Орлов
Yu. V. Nesterenko
В. А. Скворцов
+ C 1995 A. I. Shtern
Б. А. Ефимов
S. Yu. Maslov
V. A. Dushskiĭ
П. И. Лизоркин
Yu. A. Bakhturin
I. Kh. Sabitov
A. N. Parshin
A. V. Prokhorov
I. O. Sarmanov
+ P 1995 S. P. Strunkov
A. N. Parshin
V. G. Sprindzhuk
Igor V. Dolgachev
Yu. M. Gorchakov
A. V. Malyshev
Evguenii Andreevich Rakhmanov
A. F. Lavrik
Н. Х. Розов
E. D. Solomentsev
+ PDF Chat The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations 1994 Arvet Pedas
Gennadi Vainikko
+ Tangential derivates of solutions to nonlinear multidimensional weakly singular integral equations 1994 Gennadi Vainikko
Arvet Pedas
+ PDF Chat Identifiability of the Transmissivity Coefficient in an Elliptic Boundary Value Problem 1993 Gennadi Vainikko
Karl Kunisch
+ Multidimensional weakly singular integral equations 1993 Gennadi Vainikko
+ Some problems leading to multidimensional weakly singular integral equations 1993 Gennadi Vainikko
+ Higher order methods 1993 Gennadi Vainikko
+ Nonlinear integral equation 1993 Gennadi Vainikko
+ PDF Chat Multidimensional Weakly Singular Integral Equations 1993 Gennadi Vainikko
+ PDF Chat On the Piecewise Constant Collocation Method for Multidimensional Weakly Singular Integral Equations 1992 Gennadi Vainikko
+ A piecewise-constant approximation of the solutions of multi-dimensional weakly singular integral equations 1992 Gennadi Vainikko
+ On the discretization and regularization of ill-posed problems with noncompact operators 1992 Gennadi Vainikko
+ ON THE SMOOTHNESS OF THE SOLUTION OF MULTIDIMENSIONAL WEAKLY SINGULAR INTEGRAL EQUATIONS 1991 Gennadi Vainikko
+ Parameter choice in Tikhonov regularization of ill-posed extremal problems 1991 Gennadi Vainikko
+ Regularisierung nichtkorrekter Aufgaben 1991 Gennadi Vainikko
+ On the regularization of projection methods for solving III-posed problems 1990 Robert Plato
Gennadi Vainikko
+ PDF Chat On the Optimality of Methods for Ill-Posed Problems 1987 Gennadi Vainikko
+ ON THE OPTIMALITY OF REGULARIZATION METHODS 1987 Gennadi Vainikko
+ Estimates of the error of regularization methods for normally solvable problems 1985 Gennadi Vainikko
+ The critical level of discrepancy in regularization methods 1983 Gennadi Vainikko
+ The discrepancy principle for a class of regularization methods 1982 Gennadi Vainikko
+ PDF Chat The properties of solutions of weakly singular integral equations 1981 Gennadi Vainikko
Arvet Pedas
+ Regular convergence of operators and approximate solution of equations 1981 Gennadi Vainikko
+ PDF Chat A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel 1981 Gennadi Vainikko
Peep Uba
+ Approximative methods for nonlinear equations (two approaches to the convergence problem) 1978 Gennadi Vainikko
+ Über die Konvergenz und Divergenz von Näherungsmethoden bei Eigenwertproblemen 1977 Gennadi Vainikko
+ Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik 1977 Gennadi Vainikko
+ Linear operators and approximation 1976 Gennadi Vainikko
+ Convergence of the difference method when seeking the periodic solutions of ordinary differential equations 1975 Gennadi Vainikko
+ The convergence of approximate methods for solving linear and non-linear operator equations 1974 Gennadi Vainikko
Otto Karma
+ The convergence rate of approximate methods in the eigenvalue problem when the parameter appears non-linearly 1974 Gennadi Vainikko
Otto Karma
+ Approximate Solution of Operator Equations 1972 M. A. Krasnosel’skii
Gennadi Vainikko
П. П. Забрейко
Ya. B. Rutitskii
V. Ya. Stetsenko
+ Convergence of quadrature-difference methods for linear integro-differential equations 1971 Gennadi Vainikko
+ On the convergence of the method of mechanical quadratures for integral equations with discontinuous kernels 1971 Gennadi Vainikko
+ Funktionalanalytische methoden der numerischen mathematik 1970 Gennadi Vainikko
+ The compact approximation principle in the theory of approximation methods 1969 Gennadi Vainikko
+ A difference method for ordinary differential equations 1969 Gennadi Vainikko
+ Speed of convergence of the method of moments for ordinary differential equations 1968 Gennadi Vainikko
+ The rate of convergence of a method of mechanical quadratures in an eigenvalue problem 1968 Gennadi Vainikko
A.M. Dement'eva
+ On the speed of convergence of approximate methods in the eigenvalue problem 1967 Gennadi Vainikko
+ Galerkin's perturbation method and the general theory of approximate methods for non-linear equations 1967 Gennadi Vainikko
+ The convergence of the collocation method for non-linear differential equations 1966 Gennadi Vainikko
+ Evaluation of the error of the Bubnov — Galerkin method in an eigenvalue problem 1965 Gennadi Vainikko
+ Asymptotic evaluations of the error of projection methods for the eigenvalue problem 1964 Gennadi Vainikko
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ The numerical solution of Volterra equations 1986 Hermann Brunner
P. J. van der Houwen
13
+ Collocation methods for Volterra integral and related functional equations. 2006 I. P. Gavrilyuk
12
+ PDF Chat The properties of solutions of weakly singular integral equations 1981 Gennadi Vainikko
Arvet Pedas
12
+ Multidimensional weakly singular integral equations 1993 Gennadi Vainikko
12
+ PDF Chat Multidimensional Weakly Singular Integral Equations 1993 Gennadi Vainikko
12
+ A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations 2008 Eero Vainikko
Gennadi Vainikko
11
+ PDF Chat High order methods for weakly singular integral equations with nonsmooth input functions 1998 Giovanni Monegato
L. Scuderi
11
+ Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations 2004 Arvet Pedas
Gennadi Vainikko
10
+ The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations 1999 Hermann Brunner
Arvet Pedas
Gennadi Vainikko
10
+ Periodic Integral and Pseudodifferential Equations with Numerical Approximation 2002 Jukka Saranen
Gennadi Vainikko
10
+ Cordial Volterra Integral Equations 2 2010 Gennadi Vainikko
10
+ PDF Chat Integral Equations with Diagonal and Boundary Singularities of the Kernel 2006 Arvet Pedas
Gennadi Vainikko
10
+ Cordial Volterra Integral Equations 1 2009 Gennadi Vainikko
9
+ GMRES and discrete approximation of operators 2004 Gennadi Vainikko
8
+ Regularity of the solution to a class of weakly singular fredholm integral equations of the second kind 1979 Claus Schneider
8
+ Diskrete Konvergenz linearer Operatoren. I 1970 Friedrich Stummel
8
+ Estimates for the Derivatives of Solutions to Weakly Singular Fredholm Integral Equations 1980 Juhani Pitkäranta
8
+ Superconvergence of collocation methods for a class of weakly singular Volterra integral equations 2007 Teresa Diogo
Pedro M. Lima
7
+ Numerical Analysis for Integral and Related Operator Equations 1991 Siegfried Prößdorf
Bernd Silbermann
7
+ PDF Chat On weakly singular Fredholm integral equations with displacement kernels 1976 Gerard R. Richter
7
+ Diskrete Konvergenz linearer Operatoren. II 1971 Friedrich Stummel
7
+ Regularity of the solution of Hammerstein equations with weakly singular kernel 1990 Hideaki Kaneko
Richard Noren
Yuesheng Xu
7
+ ON THE SMOOTHNESS OF THE SOLUTION OF MULTIDIMENSIONAL WEAKLY SINGULAR INTEGRAL EQUATIONS 1991 Gennadi Vainikko
7
+ PDF Chat A Product Quasi-Interpolation Method for Weakly Singular Volterra Integral Equations 2007 Eero Vainikko
Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
6
+ On Spline Approximation for a Class of Non‐Compact Integral Equations 1990 Johannes Elschner
6
+ Singular Integral Equations and Discrete Vortices 1996 И. К. Лифанов
6
+ The Numerical Solution of Volterra Equations. 1988 S. P. N.
Hermann Brunner
P. J. van der Houwen
6
+ Approximate Solution of Operator Equations 1972 M. A. Krasnosel’skii
6
+ Collocation Methods for Volterra Integral and Related Functional Differential Equations 2004 Hermann Brunner
6
+ Quadrature Methods for Strongly Elliptic Equations of Negative Order on Smooth Closed Curves 1993 Jukka Saranen
L. Schroderus
6
+ Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves 1996 Jukka Saranen
Gennadi Vainikko
6
+ Diskrete Konvergenz linearer Operatoren III 1972 Friedrich Stummel
6
+ PDF Chat A Fully-Discrete Trigonometric Collocation Method 1993 William McLean
Siegfried Prößdorf
Wolfgang L. Wendland
6
+ Functional analysis in normed spaces 1952 L. V. Kantorovich
G.P. AKILOV
D. E. Brown
A. P. Robertson
6
+ Spline Collocation for Cordial Volterra Integral Equations 2010 Gennadi Vainikko
6
+ Functional analysis and applied mathematics 1963 L. V. Kantorovich
Curtis D. Benster
5
+ A fast algorithm for solving the generalized airfoil equation 1992 D. Berthold
W Hoppe
Bernd Silbermann
5
+ PDF Chat Product integration for weakly singular integral equations 1981 Claus Schneider
5
+ PDF Chat Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations 1997 Arvet Pedas
Gennadi Vainikko
5
+ Number of arithmetical operations necessary for the approximate solution of Fredholm integral equations of the second kind 1967 Konstantin Vladimirovich Emel'yanov
Арлен Михайлович Ильин
5
+ Singular Integral Operators 1986 Solomon G. Mikhlin
Siegfried Prößdorf
5
+ Convergence of spline collocation for Volterra integral equations 2007 Raul Kangro
Peeter Oja
5
+ PDF Chat Fast Solvers of Integral Equations of the Second Kind: Quadrature Methods 2005 Gennadi Vainikko
5
+ PDF Chat A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed Curves 1995 O. Kelle
Gennadi Vainikko
5
+ Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik 1977 Gennadi Vainikko
5
+ Product Integration for Weakly Singular Integral Equations In ℝm 1985 Ivan G. Graham
Claus Schneider
5
+ Nonpolynomial Spline Collocation for Volterra Equations with Weakly Singular Kernels 1983 Hermann Brunner
5
+ PDF Chat The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations 1994 Arvet Pedas
Gennadi Vainikko
5
+ Spline Collocation-Interpolation Method for Linear and Nonlinear Cordial Volterra Integral Equations 2010 Gennadi Vainikko
4
+ PDF Chat A Modified Discrete Spectral Collocation Method for First Kind Integral Equations with Logarithmic Kernel 1993 Jukka Saranen
4