8 citations · 12 across the 15 of their papers we have counts for
5 papers · 1 filter
A collocation method for solving some integral equations in distributions
Sapto W. Indratno, Alexander G. Ramm
A collocation method is presented for numerical solution of a typical integral equation Rh :=\int_D R(x, y)h(y)dy = f(x), x ε D of the class R, whose kernels are of positive ration…
Justification of the Dynamical Systems Method (DSM) for global homeomorphisms
A. G. Ramm
The Dynamical Systems Method (DSM) is justified for solving operator equations , where is a nonlinear operator in a Hilbert space . It is assumed that is a globa…
Optimal with respect to accuracy algorithms for calculation of multidimensional weakly singular integrals and applications to calculations of capacitances of conductors of arbitrary shapes
I. Boikov, A. G. Ramm
Cubature formulas, asymptotically optimal with respect to accuracy, are derived for calculating multidimensional weakly singular integrals. They are used for developing a universal…
Optimal with respect to accuracy algorithms for calculation of multidimensional weakly singular integrals and applications to calculation of capacitances of conductors of arbitrary shapes
I. Boikov, A. G. Ramm
Cubature formulas, asymptotically optimal with respect to accuracy, are derived for calculating multidimensional weakly singular integrals. They are used for developing a universal…
On deconvolution methods
Alexander G. Ramm, A. Galstian
Several methods for solving efficiently the one-dimensional deconvolution problem are proposed. The problem is to solve the Volterra equation ${\mathbf k} u:=\int_0^t k(t-s)u(s)ds=…