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Now showing items 11-20 of 55

#### Canonical dual approach to solving 0-1 quadratic programming problems

(American Institute of Mathematical Sciences, 2008-02)

This paper presents a canonical duality theory for solving nonconvex polynomial programming problems subjected to box constraints. It is proved that under certain conditions, the constrained nonconvex problems can be ...

#### Transfer function approach to output specification in certain linear distributed parameter systems

(American Institute of Mathematical Sciences, 2003)

We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their ...

#### The effect of negative feedback loops on the dynamics of Boolean networks

(CELL PRESS, 2008-07)

Feedback loops play an important role in determining the dynamics of biological networks. To study the role of negative feedback loops, this article introduces the notion of distance-to-positive-feedback which, in essence, ...

#### Small-energy asymptotics of the scattering matrix for the matrix Schrodinger equation on the line

(AIP Publishing, 2001-10)

The one-dimensional matrix Schrodinger equation is considered when the matrix potential is self-adjoint with entries that are integrable and have finite first moments. The small-energy asymptotics of the scattering ...

#### Coupling constant behavior of eigenvalues of Zakharov-Shabat systems

(AIP Publishing, 2007-12)

We consider the eigenvalues of the non-self-adjoint Zakharov-Shabat systems as the coupling constant of the potential is varied. In particular, we are interested in eigenvalue collisions and eigenvalue trajectories in the ...

#### Pyramidal and toroidal water drops after impact on a solid surface

(Cambridge University Press, 2003-06)

Superhydrophobic surfaces generate very high contact angles as a result of their microstructure. The impact of a water drop on such a surface shows unusual features, such as total rebound at low impact speed. We report ...

#### 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 ...

#### 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 ...

#### 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 ...

#### Sound-ultrasound interaction in bubbly fluids: Theory and possible applications

(American Institute of Physics, 2001-12)

The interaction between sound and ultrasound waves in a weakly compressible viscous liquid with gas bubbles is considered. Using the method of multiple scales one- and two-dimensional nonlinear interaction equations are ...