## Search

Now showing items 1-10 of 55

#### 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. ...

#### Growth of functions in cercles de remplissage

(Cambridge University Press, 2002-02)

Suppose that f is meromorphic in the plane, and that there is a sequence z(n) --> infinity and a sequence of positive numbers epsilon(n) --> 0, such that epsilon(n)\z(n)f(#)(z(n))/log\z(n)\ --> infinity. It is shown that ...

#### 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 ...

#### Solutions and optimality criteria to box constrained nonconvex minimization problems

(American Institute of Mathematical Sciences, 2007-05-01)

The design of elastic structures to optimize strength and economy of materials is a fundamental problem in structural engineering and related areas of applied mathematics. In this article we explore a finite dimensional ...

#### 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 ...

#### 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 ...

#### Effect of inertia on drop breakup under shear

(American Institute of Physics, 2001-01)

A spherical drop, placed in a second liquid of the same density and viscosity, is subjected to shear between parallel walls. The subsequent flow is investigated numerically with a volume-of-fluid continuous-surface-force ...

#### Radial oscillations of encapsulated microbubbles in viscoelastic liquids

(American Institute of Physics, 2002-10)

The small-amplitude radial oscillations of a gas microbubble encapsulated by a viscoelastic solid shell and surrounded by a slightly compressible viscoelastic liquid are studied theoretically. The Kelvin-Voigt and 4-constant ...