AbstractIn this paper, we propose an algorithm supporting an approximation using quasi-interpolatory (q.i.) splines for the numerical solution of integro-differential equations with Cauchy singular kernel. Some different choices of parameters, defining the numerical model, are analyzed and compared in view of the algorithm efficiency
Abstract. In this paper we consider quasi-interpolatory spline operators that satisfy some interpola...
We propose a new class of quadrature rules for the approximation of weakly and strongly singular int...
© 2020, Pleiades Publishing, Ltd. Abstract: On a real segment, we consider a boundary value problem ...
AbstractIn this paper, we propose an algorithm supporting an approximation using quasi-interpolatory...
Conditions for the unique solvability of a class of singular integro-differential equations with Hil...
AbstractA method based on piecewise cubic interpolatory polynomials for the numerical solution of si...
AbstractWe consider product integrals of the form (kf) := ∫−11k(x)f(x)dx,where kf ∈ L1 but f is unbo...
Abstract We have suggested the numerical schemes of collocation methods and mechanical quadrature me...
AbstractQuadrature formulae are established for product integration rules based on discrete spline q...
The paper deals with an integral equation arising from a problem in mathematical biology. We propose...
International audienceQuadrature formulae are established for product integration rules based on dis...
AbstractIn the first part of this paper we study the regularity properties of solutions to initial o...
We propose a new class of quadrature rules for the approximation of weakly and strongly singular int...
In this paper we propose a numerical collocation method to approximate the solution of linear integr...
This paper describes a collocation method for numerically solving Cauchy-type linear singular integr...
Abstract. In this paper we consider quasi-interpolatory spline operators that satisfy some interpola...
We propose a new class of quadrature rules for the approximation of weakly and strongly singular int...
© 2020, Pleiades Publishing, Ltd. Abstract: On a real segment, we consider a boundary value problem ...
AbstractIn this paper, we propose an algorithm supporting an approximation using quasi-interpolatory...
Conditions for the unique solvability of a class of singular integro-differential equations with Hil...
AbstractA method based on piecewise cubic interpolatory polynomials for the numerical solution of si...
AbstractWe consider product integrals of the form (kf) := ∫−11k(x)f(x)dx,where kf ∈ L1 but f is unbo...
Abstract We have suggested the numerical schemes of collocation methods and mechanical quadrature me...
AbstractQuadrature formulae are established for product integration rules based on discrete spline q...
The paper deals with an integral equation arising from a problem in mathematical biology. We propose...
International audienceQuadrature formulae are established for product integration rules based on dis...
AbstractIn the first part of this paper we study the regularity properties of solutions to initial o...
We propose a new class of quadrature rules for the approximation of weakly and strongly singular int...
In this paper we propose a numerical collocation method to approximate the solution of linear integr...
This paper describes a collocation method for numerically solving Cauchy-type linear singular integr...
Abstract. In this paper we consider quasi-interpolatory spline operators that satisfy some interpola...
We propose a new class of quadrature rules for the approximation of weakly and strongly singular int...
© 2020, Pleiades Publishing, Ltd. Abstract: On a real segment, we consider a boundary value problem ...