Several dynamical systems require parametric compact modelling of physical behaviour taking into account the tight coupling with the control system. In this paper, we present an approach combining meshfree method with multi-port technique for the analysis of physical systems modelled with partial differential equations. The meshfree technique used is based on radial basis functions and differen...

We show that meshfree variational methods may be utilized for solution of incompressible fluid dynamics problems using the R-function method (RFM). The proposed approach constructs an approximate solution that satisfies all prescribed boundary conditions exactly using approximate distance fields for portions of the boundary, transfinite interpolation, and computations on a non-conforming spatia...

In this paper, we propose a natural collocation method with exact imposition of mixed boundary conditions based on a generalized Gauss-Lobatto-Legendre-Birhoff quadrature rule that builds in the underlying boundary data. We provide a direct construction of the quadrature rule, and show that the collocation method can be implemented as efficiently as the usual collocation scheme for PDEs with Di...

This work presents an initial investigation on how to distinguish collocations from free combinations. The assumption is that , while free combinations can be literally translated, the overall meaning of collocations is different from the sum of the translation of its parts. Based on that, we verify whether a machine translation system can help us perform such distinction. Results show that it ...