Efficient iterative solution of linear systems from discretizing singular integral equations.
Eine Klasse von Convolutoren.
Elliptic perturbations for Hammerstein equations with singular nonlinear term.
Entropy and Eigenvalues of Certain Integral Operators.
Équations à intégrales principales; étude suivie d'une application
Error analysis for the finite element approximation of a radiative transfer model
Estimation of the condition number of a matrix in the direct discretization of the Symm equation on a quasi-uniform grid.
Existence and uniqueness for non-linear singular integral equations used in fluid mechanics
Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Exponential convergence of hp quadrature for integral operators with Gevrey kernels
Galerkin discretizations of integral equations in require the evaluation of integrals where S(1),S(2) are d-simplices and g has a singularity at x = y. We assume that g is Gevrey smooth for xy and satisfies bounds for the derivatives which allow algebraic singularities at x = y. This holds for kernel functions commonly occurring in integral equations. We construct a family of quadrature rules using N function evaluations of g which achieves exponential convergence |I – | ≤C exp(–rNγ) with...
Extension de fonctions de type positif et entropie associée. Cas multidimensionnel