Filmification: Visual Programming Environment - Demonstrated Using Jacobi Relaxation Method as an ExampleThis paper describes the building of an English-Cebuano parallel corpus to be fed into a Statistical Machine Translation System. This parallel corpus is built as a combination of human translation ...
Such problems have their own intrinsic interest and have been studied for a long time [20]. For example, it has been shown that for special cases of determinantal processes the Laplace transform of the sum of points is connected to integrable systems [7, 12] (it can be instructive to ...
veryeasytofind;thisresultrecoversinthestochasticcontexttheclassicalsolutionmethodby reductiontotheequilibriumofaHamiltoniansystem. Keywords:stochasticdifferentialequation,Hamiltonianstochasticdifferentialequation,Hamilton-Jacobiequation. 1Introduction HamiltoniandiffusionswereintroducedandstudiedbyBismutinthemonograph[...
TomlinAbstract—Hamilton-Jacobi (HJ) reachability analysis is animportant formal verif i cation method for guaranteeing per-formance and safety properties of dynamical systems; it hasbeen applied to many small-scale systems in the past decade.Its advantages include compatibility with general nonlinear...
3. Formulation of integrals over a tetrahedron The finite element method for three-dimensional problems with tetrahedron element requires the numerical integration of expressions containing product of shape functions and their global derivatives over a standard tetrahedron T with coordinates (0,0,0),(1...
Classical analysis of associated problems under boundary and/or initial conditions by the method of characteristics is limited to local considerations owing to the crossing of characteristics. Global analysis of these problems has been hindered by the lack of an appropriate...
Keywords: non-linear fractional variational problems; orthogonal polynomials; Rayleigh-Ritz method; error analysis; convergence analysis 1. Introduction It is necessary to determine the maxima and minima of certain functionals in study problems in analysis, mechanics, and geometry. These problems are ...