Add to ORKGA method is given for approximately solving linear Fredholm integral equations of the second klnd with non-negative kernels. The basis of the method is the construction of piecewise-polynomial degenerate kernels which bound the given kernel. The method is a generalization of a method suggested by Gerberich. When implemented on a computer, interval arithmetic is used so that rigorous bounds for the solution of the integral equations are obtained. The method is applied to two problems: the equation considered by Gerberich; and the equation of Love which arises in connection with the problem of determining the capacity of a circular plate condenser
AbstractA new approach to the theory of kernel approximations is developed for the numerical solutio...
In this paper, we will obtain an efficient computable upper bound for approximate solution of linea...
The authors study the conditioning of linear systems arising from the numerical solution of Fredholm...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractIn this paper the authors propose numerical methods to approximate the solutions of systems ...
This article is concerned with the construction of approximate analytic solutions to linear Fredholm...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
This note is concerned with the problem of determining approximate solutions of Fredholm integral eq...
In this paper, we compute piecewise constant bounds on the solution of mixed nonlinear Volterra-Fred...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
AbstractStarting from the classical Fredholm theory, it is shown that the solution of a linear integ...
AbstractA new approach to the theory of kernel approximations is developed for the numerical solutio...
In this paper, we will obtain an efficient computable upper bound for approximate solution of linea...
The authors study the conditioning of linear systems arising from the numerical solution of Fredholm...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
An integral equation of the form ζ(x) - λ∫ K(x, s) ζ(s) ds = f(x) a ≤ x ≤ b is called a Fredholm equ...
AbstractIn this paper the authors propose numerical methods to approximate the solutions of systems ...
This article is concerned with the construction of approximate analytic solutions to linear Fredholm...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
This note is concerned with the problem of determining approximate solutions of Fredholm integral eq...
In this paper, we compute piecewise constant bounds on the solution of mixed nonlinear Volterra-Fred...
In this paper the authors propose numerical methods to approximate the solutions of systems of secon...
AbstractStarting from the classical Fredholm theory, it is shown that the solution of a linear integ...
AbstractA new approach to the theory of kernel approximations is developed for the numerical solutio...
In this paper, we will obtain an efficient computable upper bound for approximate solution of linea...
The authors study the conditioning of linear systems arising from the numerical solution of Fredholm...