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Arvet Pedas
Arvet Pedas
Professor of Differential and Integral Equations, University of Tartu
Verified email at ut.ee
Title
Cited by
Cited by
Year
The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations
H Brunner, A Pedas, G Vainikko
Mathematics of Computation 68 (227), 1079-1095, 1999
2111999
Piecewise polynomial collocation methods for linear Volterra integro-differential equations with weakly singular kernels
H Brunner, A Pedas, G Vainikko
SIAM Journal on Numerical Analysis 39 (3), 957-982, 2001
1612001
Numerical solution of nonlinear fractional differential equations by spline collocation methods
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 255, 216-230, 2014
1172014
Piecewise polynomial collocation for linear boundary value problems of fractional differential equations
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 236 (13), 3349-3359, 2012
1042012
On the convergence of spline collocation methods for solving fractional differential equations
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 235 (12), 3502-3514, 2011
1022011
The properties of solutions of weakly singular integral equations
G Vainikko, A Pedas
The ANZIAM Journal 22 (4), 419-430, 1981
1001981
Spline collocation methods for linear multi-term fractional differential equations
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 236 (2), 167-176, 2011
862011
Smoothing transformation and piecewise polynomial collocation for weakly singular Volterra integral equations
A Pedas, G Vainikko
Computing 73, 271-293, 2004
792004
Integral equations with diagonal and boundary singularities of the kernel
A Pedas, G Vainikko
Zeitschrift für Analysis und ihre Anwendungen 25 (4), 487-516, 2006
632006
Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
A Pedas, G Vainikko
The Journal of Integral Equations and Applications, 379-406, 1997
581997
Spline collocation method for integro-differential equations with weakly singular kernels
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 197 (1), 253-269, 2006
542006
Methods for solving weakly singular integral equations
G Vainikko, A Pedas, P Uba
Univ. of Tartu, Tartu, 88-97, 1984
481984
High-order methods for Volterra integral equations with general weak singularities
M Kolk, A Pedas, G Vainikko
Numerical Functional Analysis and Optimization 30 (9-10), 1002-1024, 2009
442009
Piecewise polynomial collocation for Fredholm integro-differential equations with weakly singular kernels
I Parts, A Pedas, E Tamme
SIAM journal on numerical analysis 43 (5), 1897-1911, 2005
442005
Piecewise polynomial collocation for Fredholm integro-differential equations with weakly singular kernels
I Parts, A Pedas, E Tamme
SIAM journal on numerical analysis 43 (5), 1897-1911, 2005
442005
Discrete Galerkin method for Fredholm integro-differential equations with weakly singular kernels
A Pedas, E Tamme
Journal of Computational and Applied Mathematics 213 (1), 111-126, 2008
432008
Smoothing transformation and piecewise polynomial projection methods for weakly singular Fredholm integral equations
A Pedas, G Vainikko
Communications on Pure and Applied Analysis 5 (2), 395-413, 2006
402006
A discrete collocation method for Fredholm integro-differential equations with weakly singular kernels
A Pedas, E Tamme
Applied numerical mathematics 61 (6), 738-751, 2011
362011
Numerical solution of Volterra integral equations with weakly singular kernels which may have a boundary singularity
M Kolk, A Pedas
Mathematical Modelling and Analysis 14 (1), 79-89, 2009
362009
The smoothness of solutions to nonlinear weakly singular integral equations
A Pedas, G Vainikko
Zeitschrift für Analysis und ihre Anwendungen 13 (3), 463-476, 1994
351994
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