The traveling salesman problem is a classic example of combinatorial minimization. It involves finding the shortest itinerary for a traveling salesman who must visit each of ...

Memory functions entering the generalized master equations are calculated for trimer, with the sink in the center. The whole dynamics of the system -- coherent transfer, ...

Errors in reaction-path following have been examined with the aid of a simple model surface and a local correction scheme has been proposed. Two new fourth-order explicit ...

We present a symbolic technique of error analysis of numerical algorithms, which acts as a preprocessor to the actual numerical computation. The technique provides rigorous, ...

The n-queens problem is a classical example of a constraint-satisfaction problem. It often finds its way into AI classes as an exercise in programming a tree-search algorithm ...

A method for estimating the shape of accumulated radioactive spent resins in a storage tank has been proposed using the sampled pattern matching. In a two-dimensional ...

The number state method is used to calculate binding energies and effective masses from soliton bands for four quantum lattices: (i) the discrete nonlinear Schrödinger ...

We extend the work of Dufresne and Gerber (1988) by developing expressions for the distribution function of the claim causing ruin in the classical compound Poisson process. ...

Group theoretical investigations have a huge potential to simplify calculations in solid state theory. We will discuss the application of group theory to photonic band ...

GeometricalGeodesy is a Mathematica application package that implements everything necessary for fundamental geodesy and analytical cartography. It computes coordinates in ...