In the paper a few algorithms for determination the parameters of nonlinear transportation networks with heuristic starting points procedures are analyzed. The suitable illustrations of the proposed algorithms are based on the water distribution networks and computer networks.

We describe a distributed and collaborative environment for cooperative scientific problem solving. SHASTRA is a highly extensible, distributed and collaborative design and scientific manipulation environment. At its core is a powerful collaboration substrate - to support synchronous multi-user...

Flow visualization techniques are rapidly evolving to keep pace with improved flow solution methods. Critical point flow analysis has emerged as an important visualization and data compression method. In addition, flow topology can be described qualitatively using such methods. We propose a...

This paper considers the problem of the construction of nonlinear mapping by using an adaptive polynomial neural network [1], implementing a learning rule. First we apply the method to a two-class pattern recognition problem. We use one high order neuron with a threshold element ranging from...

We extend the well-known split-step Fourier method for solving the nonlinear Schrödinger equation to the Davey–Stewartson system. We discuss both the elliptic-hyperbolic and hyperbolic-elliptic cases, as well as the implementation of boundary conditions. Numerical tests, including the...

Large scientific software libraries are used in various application areas in order to reduce the scientists' programming work. However, the application of software packages is not always easy and often requires profound knowledge about the application domain and the package. Expert systems can...

Various symplectic discretizations of the nonlinear Schrödinger equation are compared, including one for the integrable discretization due to Ablowitz and Ladik. The numerical experiments are performed with initial values taken near a homoclinic orbit, i.e., in a situation where integrability...

Free-surface electrohydrodynamic (EHD) fluid flow has been widely studied on an experimental basis, while theoretical and simulation studies in this area is much less widespread due to the complex nature of the phenomenon. In this paper, a commercial computational fluid dynamic code is coupled...

We propose numerical schemes for approximating periodic solutions of the generalized Korteweg—de Vries—Burgers equation. These schemes are based on a Galerkin-finite element formulation for the spatial discretization and use implicit Runge—Kutta (IRK) methods for time stepping....

This paper describes a knowledge based front-end to a subset of the NAG FORTRAN library (called the Foundation Library) hereafter referred to as KASTLE (Knowledge Assisted Selection Tool for Library Environments). The development of KASTLE has gone through several changes to accommodate...