Now showing items 21-30 of 37
On the Convergence of the Iteration Sequence in Primal-Dual Interior-Point Methods
This research is concerned with the convergence of the iteration sequence generated by a primal-dual interior-point method for linear programming. It is known that this sequence converges when both the primal and the dual ...
Thermal Simulation of Pipeline Flow
A new numerical method for studying one dimensional fluid flow through pipelines is presented and analyzed. This work extends in a certain direction the collocation method described by Luskin ["An Approximation Procedure ...
Recovering an Optimal LP Basis from an Interior Point Solution
An important issue in the implementation of interior point algorithms for linear programming is the recovery of an optimal basic solution from an optimal interior point solution. In this paper we describe a method for ...
Analysis of Explicit/Implicit, Block Centered Finite Difference Domain Decomposition Procedures for Parabolic Problems
Domain decomposition procedures for solving parabolic equations are considered. The underlying discretization is block-centered finite differences. In this procedures, fluxes at subdomain interfaces are calculated from the ...
Conventions for Using PIERS
Time-Split Methods for Advective Flow Problems in Multidimensions Based on Combining Godunov-Type Procedures with a Mixed Finite Element Method
Time-split methods for multidimensional advection-diffusion equations are considered. In these methods, advection is approximated by a Godunov-type procedure, and diffusion is approximated by a low order mixed finite element ...
Successive Element Correction Algorithms for Sparse Unconstrained Optimization
This paper presents a successive element correction algorithm and a secant modification of this algorithm. The new algorithms are designed to use the gradient evaluations as efficiently as possible in forming the approximate ...
Steady State Couette Flow
An exact solution is found for a non-linear problem with thermomechanical coupling, the steady flow of a fluid with viscosity exponentially dependent on temperature, which is sheared between an adiabatic, fixed, inner ...