This paper introduces a fast solution procedure to solve 100-node instances of the time-dependent orienteering problem (TD-OP) within a few seconds of computation time. Orienteering problems occur in logistic situations were an optimal combination of locations needs to be selected and the routing between the selected locations needs to be optimized. In the time-dependent variant, the travel tim...

We study time dependent solutions in cubic open string field theory which are expected to describe the configuration of the rolling tachyon. We consider the truncated system consisting of component fields of level zero and two, which are expanded in terms of coshnx modes. For studying the large time behavior of the solution we need to know the coefficients of all and, in particular, large n mod...

A class of Markov processes, called the Level Dependent Band-QBD Processes, is defined and introduced. An exact and efficient solution of these processes, using the spectral expansion method, is developed. The utility of these processes is illustrated through solving a non-trivial example, which is, the performance modelling of a multiserver system used for Web server software architecture.

Numerical solution of heat transfer and fluid flow problems in two spatial dimensions is studied. An arbitrary Lagrangian-Eulerian (ALE) formulation of the governing equations is applied to handle time-dependent geometries. A Legendre spectral method is used for the spatial discretization, and the temporal discretization is done with a semi-implicit multi-step method. The Stefan problem, a conv...

Using Thomas-Fermi-Dirac equation within the exchange-correlation scheme and a Z-dependent trial solution, the ground state binding energy for neutral, positively, and negatively charged atoms are calculated. Comparing to the results obtained in earlier works, the values of the binding energy estimated here for both light and heavy atoms agree nicely with the Hartree-Fock values. We have also c...

We study parallel solution methods for time-dependent problems where the domain decomposition is in the time variable. We show that Newton’s method can be used to create parallelism in nonlinear dynamical systems. We demonstrate that arbitrarily large speedups can be expected for sufficiently small time steps. Thus we conclude that nonlinear dynamical systems do not form essentially sequential ...

Using the freon mixture CDF(3)/CDClF(2) as solvent we have been able to measure the (1)H and (15)N NMR spectra of the doubly (15)N labeled 2,2'-bipyridinium cation (BpyH(+)) at temperatures down to 115 K. The obtained NMR parameters strongly depend on the type of counteranions indicating the formation of ion pairs. In the case of the bulky poorly coordinating tetrakis[3,5-bis(trifluoromethyl)ph...

We consider a G-network with Poisson flow of positive customers. Each positive customer entering the network is characterized by a set of stochastic parameters: customer route, the length of customer route, customer volume and his service length at each route stage as well. The following node types are considered: (0) an exponential node with cn servers, infinite buffer and FIFO discipline; (1)...

In this paper we present time dependent solution of the open bosonic string field theory describing the motion of the tachyon on unstable D-brane.

Continued fractions (CFs) play a fundamental role in many investigations due to its applications to diverse fields like number theory, special functions, approximations, moment problems, digital networks, statistics, and signal processing. Their importance has grown further with the advent of fast computing facilities. The problem of converting a continued fraction into a power series is import...