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Convergence theorems for intermediate problems. II
(Cambridge University Press, 2002)
Convergence theorems for the practical eigenvector free methods of Gay and Goerisch are obtained under a variety of hypotheses, so that our theorems apply to both traditional boundary-value problems and atomic problems. ...
A hybrid collocation method for volterra integral equations with weakly singular kernels
(Siam Publications, 2003)
The commonly used graded piecewise polynomial collocation method for weakly singular Volterra integral equations may cause serious round-off error problems due to its use of extremely nonuniform partitions and the sensitivity ...
The PMU placement problem
(Siam Publications, 2005)
PMU placement problem is an optimization problem abstracted from an approach to supervising an electrical power system. The power system is modeled as a graph, and adequate supervision of the system requires that the voltage ...
Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control
(Siam Publications, 2000-05)
We consider the mathematical formulation, analysis, and the numerical solution of a time-dependent optimal control problem associated with the tracking of the velocity of a Navier-Stokes ow in a bounded two-dimensional ...
Robust optimal switching control for nonlinear systems
(Siam Publications, 2002-09)
We formulate a robust optimal control problem for a general nonlinear system with finitely many admissible control settings and with costs assigned to switching of controls. e formulate the problem both in an L-2-gain/dissipative ...
Glass transition seen through asymptotic expansions
(Siam Publications, 2011)
Soft glassy materials exhibit the so-called glassy transition, which means that the behavior of the model at a low shear rate changes when a certain parameter (which we call the glass parameter) crosses a critical value. ...
An elementary nonlinear beam theory with finite buckling deformation properties
(Siam Publications, 2002-04)
A simple nonlinear beam model is derived from basic principles. The assumption upon which the derivation is based is that axial motions are of second order compared with transverse motions of the beam. The existence of ...
Model reduction of descriptor systems by interpolatory projection methods
(Siam Publications, 2013)
In this paper, we investigate an interpolatory projection framework for model reduction of descriptor systems. With a simple numerical example, we first illustrate that directly applying the subspace conditions from the ...
Interpolatory projection methods for parameterized model reduction
(Siam Publications, 2011)
We provide a unifying projection-based framework for structure-preserving interpolatory model reduction of parameterized linear dynamical systems, i.e., systems having a structured dependence on parameters that we wish to ...
H-2 model reduction for large-scale linear dynamical systems
(Siam Publications, 2008)
The optimal H-2 model reduction problem is of great importance in the area of dynamical systems and simulation. In the literature, two independent frameworks have evolved focusing either on solution of Lyapunov equations ...