This paper presents improved solution methods for kinematic wave traffic problems with concave flow-density relations. As explained in part I of this work, the solution of a kinematic wave problem is a set of continuum least-cost paths in space-time. The least cost to reach a point is the vehicle number. The idea here consists in overlaying a dense but discrete network with appropriate costs in...

We propose here the use of the variational level set methodology to capture Lagrangian vortex boundaries in 2D unsteady velocity fields. This method reformulates earlier approaches that seek material vortex boundaries as extremum solutions of variational problems. We demonstrate the performance of this technique for two different variational formulations built upon different notions of coherenc...

We present a variational formulation of the recently-proposed CCSD(2)(R12) method [Valeev, Phys. Chem. Chem. Phys., 2008, 10, 106]. The centerpiece of this approach is the CCSD(2)(R12) Lagrangian obtained via Löwdin partitioning of the coupled-cluster singles and doubles (CCSD) Hamiltonian. Extremization of the Lagrangian yields the second-order basis set incompleteness correction for the CCSD ...

Two simple, economical, precise and reproducible visible spectrophotmetric methods have been developed for the estimation of doxycycline in tablet formulation. The developed methods are based on the formation of chloroform extractable complex of doxycycline with bromo phenol blue and safranine in double distilled water. The complex with bromo phenol blue (method I) shows absorbance maxima at 41...

In this report we propose a new recursive matrix formulation of limited memory variable metric methods. This approach enables to approximate of both the Hessian matrix and its inverse and can be used for an arbitrary update from the Broyden class (and some other updates). The new recursive formulation requires approximately 4mn multiplications and additions for the direction determination, so i...