22 citations · 22 across the 1 of their papers we have counts for
6 papers
A visual formalism for weights satisfying reverse inequalities
Sapto Indratno, Diego Maldonado, Sharad Silwal
In this expository article we introduce a diagrammatic scheme to represent reverse classes of weights and some of their properties.
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…
Creating materials with a desired refraction coefficient: numerical experiments
Sapto W. Indratno, Alexander G. Ramm
A recipe for creating materials with a desired refraction coefficient is implemented numerically. The following assumptions are used: \bee ζ_m=h(x_m)/a^κ,\quad d=O(a^{(2-κ)/3}),\qu…
An iterative method for solving Fredholm integral equations of the first kind
Sapto W. Indratno, A. G. Ramm
The purpose of this paper is to give a convergence analysis of the iterative scheme: \bee u_n^\dl=qu_{n-1}^\dl+(1-q)T_{a_n}^{-1}K^*f_\dl,\quad u_0^\dl=0,\eee where $T:=K^*K,\quad T…
Dynamical Systems Method for solving ill-conditioned linear algebraic systems
Sapto W. Indratno, A. G. Ramm
A new method, the Dynamical Systems Method (DSM), justified recently, is applied to solving ill-conditioned linear algebraic system (ICLAS). The DSM gives a new approach to solving…
Inversion of the Laplace transform from the real axis using an adaptive iterative method
Sapto W. Indratno, A. G. Ramm
In this paper a new method for inverting the Laplace transform from the real axis is formulated. This method is based on a quadrature formula. We assume that the unknown function $…