Proceedings of the First International Colloquium on Numerical Analysis

Frontmatter -- Contents -- Preface -- Orthogonal polynomials associated with a non-standard measure -- The numerical treatment of ordinary and partial Volterra integro-differential equations -- Numerical methods for y" = f(x, y) -- Numerical-analytical method for finding periodic solutions of nonlinear impulsive singularly perturbed differential systems -- Special algorithms for the numerical integration of problems in orbital dynamics -- Polynomial approximation with side conditions: Recent results and open problems -- Continuous numerical solutions and error bounds for matrix differential equations -- Convergence rate estimates for the finite difference schemes compatible with the smoothness of data -- Numerical solutions of differential-function problems -- An Iterated Method Of Computing The Inverse Mapping -- On using high orders finite elements for solving structural mechanics problems -- Numerical solution of differential equations for the analytic singular value decomposition -- A new trust region algorithm for nonlinear optimization