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Integral equations of the third kind in $L^p$ spaces
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2020
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Teresa Diogo
Arvet Pedas
Gennadi Vainikko
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A Quasi-Fast Solver for Weakly Singular Integral Equations of the Second Kind
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2019
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Sumaira Rehman
Arvet Pedas
Gennadi Vainikko
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PDF
Chat
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About the convergence type of improper integrals defining fractional derivatives
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2019
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Britt Kalam
Gennadi Vainikko
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+
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Piecewise polynomial projection methods for nonlinear multidimensional weakly singular integral equations
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2019
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Arvet Pedas
Gennadi Vainikko
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+
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Cordial Volterra integral operators in spaces $L^{p}(0,T)$
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2019
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Gennadi Vainikko
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Positive Solution of Lighthill-Type Equations
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2018
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Gennadi Vainikko
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PDF
Chat
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FAST SOLVERS OF WEAKLY SINGULAR INTEGRAL EQUATIONS OF THE SECOND KIND
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2018
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Sumaira Rehman
Arvet Pedas
Gennadi Vainikko
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PDF
Chat
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Which Functions are Fractionally Differentiable?
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2016
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Gennadi Vainikko
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+
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Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations
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2016
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Teresa Diogo
Pedro M. Lima
Arvet Pedas
Gennadi Vainikko
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PDF
Chat
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A Smooth Solution of a Singular Fractional Differential Equation
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2015
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Kaido Lätt
Arvet Pedas
Gennadi Vainikko
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Inversion of the Riemann-Liouville integral operator and application to Abel equation1)
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2015
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Gennadi Vainikko
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+
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A Collocation Method Based on the Central Part Interpolation for Integral Equations
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2015
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Kerli Orav-Puurand
Arvet Pedas
Gennadi Vainikko
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+
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First Kind Cordial Volterra Integral Equations 2
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2014
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Gennadi Vainikko
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PDF
Chat
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APPLICABILITY OF SPLINE COLLOCATION TO CORDIAL VOLTERRA EQUATIONS
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2013
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Teresa Diogo
Gennadi Vainikko
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On the regularity of solutions of nonlinear integral equations
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2013
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Arvet Pedas
Gennadi Vainikko
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PDF
Chat
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PRODUCT QUASI-INTERPOLATION IN LOGARITHMICALLY SINGULAR INTEGRAL EQUATIONS
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2012
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Eero Vainikko
Gennadi Vainikko
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First Kind Cordial Volterra Integral Equations 1
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2012
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Gennadi Vainikko
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What is the complexity of weakly singular integral equations?
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2012
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Arvet Pedas
Gennadi Vainikko
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+
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Spline Collocation-Interpolation Method for Linear and Nonlinear Cordial Volterra Integral Equations
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2010
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Gennadi Vainikko
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Application of the discrete Fourier transform to solving the Cauchy integral equation
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2010
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В. В. Колыбасова
П. А. Крутицкий
K. V. Prozorov
Gennadi Vainikko
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Spline Collocation for Cordial Volterra Integral Equations
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2010
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Gennadi Vainikko
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Cordial Volterra Integral Equations 2
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2010
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Gennadi Vainikko
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Nyström type methods for Fredholm integral equations with weak singularities
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2010
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Kerli Orav-Puurand
Arvet Pedas
Gennadi Vainikko
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Spline Collocation—Product Interpolation for Cordial Volterra Integral Equation
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2010
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Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
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Cordial Volterra integral equations of the first kind
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2010
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Gennadi Vainikko
J. Liivi
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High-Order Methods for Volterra Integral Equations with General Weak Singularities
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2009
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Marek Kolk
Arvet Pedas
Gennadi Vainikko
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Cordial Volterra Integral Equations 1
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2009
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Gennadi Vainikko
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Numerical treatment of the Cauchy integral equation by discrete Fourier transform
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2009
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В. В. Колыбасова
П. А. Крутицкий
K. V. Prozorov
Gennadi Vainikko
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PDF
Chat
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Error Estimates for the Cardinal Spline Interpolation
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2009
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Gennadi Vainikko
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Central Part Interpolation Schemes for Integral Equations
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2009
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Kerli Orav-Puurand
Gennadi Vainikko
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PDF
Chat
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CARDINAL APPROXIMATION OF FUNCTIONS BY SPLINES ON AN INTERVAL
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2009
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Gennadi Vainikko
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Cordial Volterra Integral Operators and Equations
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2009
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Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
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A Collocation Method for Volterra Integral Equations with Diagonal and Boundary Singularities
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2009
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Marek Kolk
Arvet Pedas
Gennadi Vainikko
George Maroulis
Theodore E. Simos
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On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals
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2008
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Arvet Pedas
Gennadi Vainikko
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A Spline Product Quasi-interpolation Method for Weakly Singular Fredholm Integral Equations
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2008
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Eero Vainikko
Gennadi Vainikko
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PDF
Chat
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FAST SPLINE QUASICOLLOCATION SOLVERS OF INTEGRAL EQUATIONS
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2007
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Gennadi Vainikko
Indrek Zolk
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PDF
Chat
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QUASI-INTERPOLATION BY SPLINES ON THE UNIFORM KNOT SETS
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2007
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Evely Leetma
Gennadi Vainikko
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Numerical Solution of Fredholm Integral Equations with Diagonal and Boundary Singularities
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2007
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Arvet Pedas
Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
|
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PDF
Chat
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A Product Quasi-Interpolation Method for Weakly Singular Volterra Integral Equations
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2007
|
Eero Vainikko
Gennadi Vainikko
Theodore E. Simos
George Psihoyios
Ch. Tsitouras
|
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PDF
Chat
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Integral Equations with Diagonal and Boundary Singularities of the Kernel
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2006
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Arvet Pedas
Gennadi Vainikko
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Boundary singularities of solutions to integal equations of the second kind
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2005
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Arvet Pedas
Gennadi Vainikko
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+
PDF
Chat
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Fast Solvers of Integral Equations of the Second Kind: Quadrature Methods
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2005
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Gennadi Vainikko
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Fast solvers of integral equations of the second kind: wavelet methods
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2004
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Gennadi Vainikko
Andi Kivinukk
J Lippus
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Smoothing Transformation and Piecewise Polynomial Collocation for Weakly Singular Volterra Integral Equations
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2004
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Arvet Pedas
Gennadi Vainikko
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GMRES and discrete approximation of operators
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2004
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Gennadi Vainikko
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Approaches to the summability of divergent multidimensional integrals
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2003
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Gennadi Vainikko
И. К. Лифанов
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Numerical solution of a singular and a hypersingular integral equation on an interval and the delta function
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2002
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Gennadi Vainikko
N V Lebedeva
И. К. Лифанов
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Singular Integral Equations
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Periodic Integral and Pseudodifferential Equations with Numerical Approximation
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Periodic Integral Equations
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Solution of Boundary Value Problems by Integral Equations
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2002
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Jukka Saranen
Gennadi Vainikko
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Trigonometric Interpolation
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Boundary Integral Operators in Periodic Sobolev Spaces
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Single Layer and Double Layer Potentials
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2002
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Jukka Saranen
Gennadi Vainikko
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+
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Integral Equations on an Open Arc
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2002
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Jukka Saranen
Gennadi Vainikko
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Periodic Pseudodifferential Operators
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2002
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Jukka Saranen
Gennadi Vainikko
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On the fast and fully discretized solution¶of integral and pseudo-differential equations¶on smooth curves
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2001
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Robert Plato
Gennadi Vainikko
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PDF
Chat
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The Fast Solution of Periodic Integral and Pseudodifferential Equations by Gmres
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2001
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Robert Plato
Gennadi Vainikko
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Piecewise Polynomial Collocation Methods for Linear Volterra Integro-Differential Equations with Weakly Singular Kernels
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2001
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Hermann Brunner
Arvet Pedas
Gennadi Vainikko
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PDF
Chat
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Fast solvers of generalized airfoil equation of index 1
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2001
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Gennadi Vainikko
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+
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Numerical Methods in Hypersingular Integral Equations and their Applications
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2001
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И. К. Лифанов
L. N. Poltavskii
Gennadi Vainikko
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Periodic integral equations, the analyticity of the solutions and the exponential convergence of approximation methods
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2001
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Jukka Saranen
Gennadi Vainikko
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+
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Some projection schemes for nonlinear multidimensional weakly singular integral equations
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2001
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Arvet Pedas
Gennadi Vainikko
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+
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None
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2001
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Hermann Brunner
Arvet Pedas
Gennadi Vainikko
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+
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Fast solvers of generalized airfoil equation of index
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2001
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Gennadi Vainikko
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+
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Modeling of aerodynamic and wave diffraction problems and extensions of Cauchy type integral operators on closed and open curves
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2000
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Gennadi Vainikko
И. К. Лифанов
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+
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Direct and Inverse Problems of Mathematical Physics
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2000
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Gennadi Vainikko
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+
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Modeling the problems of aerodynamics and wave diffractors, and the extension of Cauchy type integral operators on closed and open curves (in Russian)
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2000
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Gennadi Vainikko
И. К. Лифанов
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PDF
Chat
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An Integral Operator Representation of Classical Periodic Pseudodifferential Operators
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1999
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Gennadi Vainikko
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PDF
Chat
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Fast Collocation Solvers for Integral Equations on Open Arcs
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1999
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Jukka Saranen
Gennadi Vainikko
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+
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The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
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1999
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Hermann Brunner
Arvet Pedas
Gennadi Vainikko
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+
PDF
Chat
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PERIODIZATION OF INTEGRAL EQUATIONS ON OPEN ARCS
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1999
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Jukka Saranen
Gennadi Vainikko
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+
PDF
Chat
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SPLINE COLLOCATION METHOD FOR WEAKLY SINGULAR INTEGRAL EQUATIONS
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1999
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Arvet Pedas
Gennadi Vainikko
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+
PDF
Chat
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On Symbol Analysis of Periodic Pseudo differential Operators
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1998
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Ville Turunen
Gennadi Vainikko
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PDF
Chat
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Fast solvers of integral and pseudodifferential equations on closed curves
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1998
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Jukka Saranen
Gennadi Vainikko
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+
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Trigonometric Galerkin fast solvers for periodic integral equations of the first kind
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1998
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Gennadi Vainikko
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+
PDF
Chat
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Superconvergence of Piecewise Polynomial Collocations for Nonlinear Weakly Singular Integral Equations
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1997
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Arvet Pedas
Gennadi Vainikko
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+
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Fast solvers of integral equations on closed curves
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1997
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Jukka Saranen
Gennadi Vainikko
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+
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Error bounds of discretization methods for boundary integral equations with noisy data
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1996
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Gottfried Brückner
Siegfried Prößdorf
Gennadi Vainikko
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+
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Trigonometric Collocation Methods with Product Integration for Boundary Integral Equations on Closed Curves
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1996
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Jukka Saranen
Gennadi Vainikko
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+
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Approximation Procedures in Nonlinear Oscillation Theory (Nikolai A. Bobylev, Yuri M. Burman, and Sergey K. Korovin)
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1996
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Gennadi Vainikko
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Limit spectrum of discretely converging operators
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1996
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Olavi Nevanlinna
Gennadi Vainikko
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+
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Two‐Grid Solution of Symm's Integral Equation
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1996
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Jukka Saranen
Gennadi Vainikko
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+
PDF
Chat
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A Fully Discrete Galerkin Method for Integral and Pseudo differential Equations on Closed Curves
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1995
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O. Kelle
Gennadi Vainikko
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+
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Weakly singular integral equations with operator-valued kernels and an application to radiation transfer problems
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1995
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Ekkehard Hennebach
Peter Junghanns
Gennadi Vainikko
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M
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1995
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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
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C
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1995
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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
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+
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P
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1995
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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
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+
PDF
Chat
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The Smoothness of Solutions to Nonlinear Weakly Singular Integral Equations
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1994
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Arvet Pedas
Gennadi Vainikko
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+
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Tangential derivates of solutions to nonlinear multidimensional weakly singular integral equations
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1994
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Gennadi Vainikko
Arvet Pedas
|
+
PDF
Chat
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Identifiability of the Transmissivity Coefficient in an Elliptic Boundary Value Problem
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1993
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Gennadi Vainikko
Karl Kunisch
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+
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Multidimensional weakly singular integral equations
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1993
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Gennadi Vainikko
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+
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Some problems leading to multidimensional weakly singular integral equations
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1993
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Gennadi Vainikko
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+
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Higher order methods
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1993
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Gennadi Vainikko
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+
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Nonlinear integral equation
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1993
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Gennadi Vainikko
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+
PDF
Chat
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Multidimensional Weakly Singular Integral Equations
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1993
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Gennadi Vainikko
|
+
PDF
Chat
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On the Piecewise Constant Collocation Method for Multidimensional Weakly Singular Integral Equations
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1992
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Gennadi Vainikko
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+
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A piecewise-constant approximation of the solutions of multi-dimensional weakly singular integral equations
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1992
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Gennadi Vainikko
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+
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On the discretization and regularization of ill-posed problems with noncompact operators
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1992
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Gennadi Vainikko
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+
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ON THE SMOOTHNESS OF THE SOLUTION OF MULTIDIMENSIONAL WEAKLY SINGULAR INTEGRAL EQUATIONS
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1991
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Gennadi Vainikko
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+
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Parameter choice in Tikhonov regularization of ill-posed extremal problems
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1991
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Gennadi Vainikko
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+
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Regularisierung nichtkorrekter Aufgaben
|
1991
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Gennadi Vainikko
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+
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On the regularization of projection methods for solving III-posed problems
|
1990
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Robert Plato
Gennadi Vainikko
|
+
PDF
Chat
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On the Optimality of Methods for Ill-Posed Problems
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1987
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Gennadi Vainikko
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+
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ON THE OPTIMALITY OF REGULARIZATION METHODS
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1987
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Gennadi Vainikko
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+
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Estimates of the error of regularization methods for normally solvable problems
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1985
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Gennadi Vainikko
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+
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The critical level of discrepancy in regularization methods
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1983
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Gennadi Vainikko
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+
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The discrepancy principle for a class of regularization methods
|
1982
|
Gennadi Vainikko
|
+
PDF
Chat
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The properties of solutions of weakly singular integral equations
|
1981
|
Gennadi Vainikko
Arvet Pedas
|
+
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Regular convergence of operators and approximate solution of equations
|
1981
|
Gennadi Vainikko
|
+
PDF
Chat
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A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel
|
1981
|
Gennadi Vainikko
Peep Uba
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+
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Approximative methods for nonlinear equations (two approaches to the convergence problem)
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1978
|
Gennadi Vainikko
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+
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Über die Konvergenz und Divergenz von Näherungsmethoden bei Eigenwertproblemen
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1977
|
Gennadi Vainikko
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+
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Über Konvergenzbegriffe für lineare Operatoren in der Numerischen Mathematik
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1977
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Gennadi Vainikko
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+
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Linear operators and approximation
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1976
|
Gennadi Vainikko
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+
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Convergence of the difference method when seeking the periodic solutions of ordinary differential equations
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1975
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Gennadi Vainikko
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+
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The convergence of approximate methods for solving linear and non-linear operator equations
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1974
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Gennadi Vainikko
Otto Karma
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+
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The convergence rate of approximate methods in the eigenvalue problem when the parameter appears non-linearly
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1974
|
Gennadi Vainikko
Otto Karma
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+
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Approximate Solution of Operator Equations
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1972
|
M. A. Krasnosel’skii
Gennadi Vainikko
П. П. Забрейко
Ya. B. Rutitskii
V. Ya. Stetsenko
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+
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Convergence of quadrature-difference methods for linear integro-differential equations
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1971
|
Gennadi Vainikko
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+
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On the convergence of the method of mechanical quadratures for integral equations with discontinuous kernels
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1971
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Gennadi Vainikko
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+
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Funktionalanalytische methoden der numerischen mathematik
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1970
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Gennadi Vainikko
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+
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The compact approximation principle in the theory of approximation methods
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1969
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Gennadi Vainikko
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+
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A difference method for ordinary differential equations
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1969
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Gennadi Vainikko
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+
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Speed of convergence of the method of moments for ordinary differential equations
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1968
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Gennadi Vainikko
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+
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The rate of convergence of a method of mechanical quadratures in an eigenvalue problem
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1968
|
Gennadi Vainikko
A.M. Dement'eva
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+
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On the speed of convergence of approximate methods in the eigenvalue problem
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1967
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Gennadi Vainikko
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+
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Galerkin's perturbation method and the general theory of approximate methods for non-linear equations
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1967
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Gennadi Vainikko
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+
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The convergence of the collocation method for non-linear differential equations
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1966
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Gennadi Vainikko
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+
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Evaluation of the error of the Bubnov — Galerkin method in an eigenvalue problem
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1965
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Gennadi Vainikko
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+
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Asymptotic evaluations of the error of projection methods for the eigenvalue problem
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1964
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Gennadi Vainikko
|