Numerical Analysis

Inhaltsverzeichnis

• Merit functions for nonlinear programming problems.
• Global convergence of Newton-Like methods.
• Topics in global optimization.
• The tunnelling method for solving the constrained global optimization problem with several non-connected feasible regions.
• An approach to nonlinear l 1 data fitting.
• Towards a unified approach to data smoothing.
• Generalizing the LINPACK condition estimator.
• Demonstration of a matrix Laboratory.
• A fast algorithm for the Euclidean distance location problem.
• Discrete pressure equations in incompressible flow problems.
• Standing waves in diffusive reacting systems.
• A study of the stability of the interface between two inmiscible viscous fluids.
• Solving Large nonlinear systems of equations arising in mechanics.
• Smooth monotone spline interpolation.
• Some hybrid implicit stiffly stable methods for ordinary differential equations.
• Developing effective multistep methods for the numerical solution of systems of second order initial value problems.
• Numerical solution of singular two-point boundary-value problems by invariant imbedding.
• Difficulties in evaluating differential equation software.
• Topics in finite element discretization of parabolic evolution problems.
• A class of exponentially fitted piecewise continuous methods for initial value problems.
• Recursive quadratic programming algorithms and their convergence properties.
• Dual and primal-dual methods for solving strictly convex quadratic programs.
• The design and use of a frontal scheme for solving sparse unsymmetric equations.