A numerical method for solving the Abel integral equation
A numerical method in terms of the third derivative for a delay integral equation from biomathematics.
A numerical scheme for the two phase Mullins-Sekerka problem.
A numerical solution of diffraction problems for the radiation transport equation.
A numerical solution of the Dirichlet problem on some special doubly connected regions
The aim of this paper is to give a convergence proof of a numerical method for the Dirichlet problem on doubly connected plane regions using the method of reflection across the exterior boundary curve (which is analytic) combined with integral equations extended over the interior boundary curve (which may be irregular with infinitely many angular points).
A numerical solution using an adaptively preconditioned Lanczos method for a class of linear systems related with the fractional Poisson equation.
A Nyström method for boundary integral equations in domains with corners.
A piecewise constant collocation method using cosine mesh grading for Symm's equation.
A polynomial collocation method for Cauchy singular integral equations over the interval.
A Product Integration Method for a Class of Singular First Kind Voltera Equations.
A Quadrature-Based Approach to Improving the Collocation Method.
A quasi-Newton method for solving fixed point problems in Hilbert spaces.
A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. I: The Boltzmann-Poisson-Schrödinger solver.
A self-consistent numerical method for simulation of quantum transport in high electron mobility transistor. II: The full quantum transport.
A shooting method for singular nonlinear second order Volterra integro-differential equations.
A -Stable Linear Multistep Methods for Volterra Integro-Differential Equations.
-stable methods of high order for Volterra integral equations
Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes -stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also -stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical realization....
A study of the fast solution of the occluded radiosity equation.
A Unified Approach for Constructing Fast Two-Step Newton-like Methods.
A unifying convergence analysis of Newton's method for twice Fréchet-differentiable operators
We provide a local as well as a semilocal convergence analysis for Newton's method using unifying hypotheses on twice Fréchet-differentiable operators in a Banach space setting. Our approach extends the applicability of Newton's method. Numerical examples are also provided.