Results 31 to 40 of about 81 (76)

Successive Continuation for Locating Connecting Orbits.

open access: yes, 1996
A successive continuation method for locating connecting orbits in parametrized systems of autonomous ODEs is considered. A local convergence analysis is presented and several illustrative numerical examples are given.
E. J. Doedel   +2 more
core  

Preconditioners For The Reduced Hessian In Elliptic Variational Inequalities

open access: yes, 2007
. We show how a class of preconditioners for reduced Hessians in constrained optimization can be applied to certain elliptic variational inequalities.
Choi Kelley, T. D. Choi, C. T. Kelley
core  

Weak Conditions for the Convergence of Iterations to Solutions of Equations on Partially Ordered Topological Spaces

open access: yes, 1996
. We provide sufficient conditions for the monotone convergence of Newton like methods to solutions of nonlinear operator equations on partially ordered topological spaces.
Ioannis K. Argyros
core  

A Finite Element Method Adaptive in Space and Time for Nonlinear Reaction-Diffusion- Systems.

open access: yes, 1992
Large scale combustion simulations show the need for adaptive methods. First, to save computation time and mainly to resolve local and instationary phenomena.
Lang, Jens, Walter, Artur
core  

AN OPTIMAL ORDER YIELDING DISCREPANCY PRINCIPLE FOR SIMPLIFIED REGULARIZATION OF ILL-POSED PROBLEMS IN HILBERT SCALES

open access: yes, 2020
Recently, Tautenhahn and Hämarik (1999) have considered a monotone rule as a parameter choice strategy for choosing the regularization parameter while considering approximate solution of an ill-posed operator equation T x = y, where T is a bounded ...
Santhosh George, M Thamban Nair
core  

Convergence Analysis Of Pseudo-Transient Continuation

open access: yes, 1997
. Pseudo-transient continuation (\Psitc) is a well-known and physically motivated technique for computation of steady-state solutions of time-dependent partial differential equations.
David, David E. Keyes, C. T. Kelley
core  

Truncated Newton Methods For Optimization With Inaccurate Functions And Gradients

open access: yes, 1999
. We consider unconstrained minimization problems that have functions and gradients given by "black box" codes with error control. We discuss several modifications of the Steihaug truncated Newton method that can improve performance for such ...
E.W. Sachs, C. T. Kelley, E. W. Sachs
core  

Ioannis K. Argyros

open access: yes, 1995
. In this study, we use perturbed Newton-likemethods to find solutions of nonlinear, nondifferentiable operator equations on Banach spaces with a convergence structure.
Yr Os, Ioannis K. Argyros, Rg Yr Os
core  

Mesh Independence Of Matrix-Free Methods For Path Following

open access: yes, 1999
. In this paper we consider a matrix-free path following algorithm for nonlinear parameter-dependent compact fixed point problems. We show that if these problems are discretized so that certain collective compactness and strong convergence properties ...
Ferng Kelley, W. R. Ferng, C. T. Kelley
core  

A Trust Region Method For Parabolic Boundary Control Problems

open access: yes, 2007
. In this paper we develop a trust region algorithm for constrained parabolic boundary control problems. The method is a projected form of the Steihaug trust-region-CG method with a smoothing step added at each iteration to improve performance in the ...
C. T. Kelley, Kelley Sachs, E. W. Sachs
core  

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