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Showing 1 to 8 of 8 for “"Gauss Quadrature"”.
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The dual boundary element method applied to semi-infinite surface cracks in two-dimensions
… cannot be accuartely evaluated via standard Gauss quadrature schemes. An analytical integration scheme has therefore been implemented to overcome this difficulty. The SIFs are recovered as a post-processing step using the crack tip opening displacement method. A computer code using FORTRAN.90 …
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High Order Explicit Semi-Lagrangian Method for the Solution of Lagrangian Transport and Stochastic Differential Equations
… the semi-Lagrangian method seeds particles at Gauss quadrature collocation nodes within a spectral element. The particles are integrated explicitly in time according to a governing deterministic and/or stochastic differential equation and form the nodal basis for an advected interpolant. This …
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Geometric and material nonlinear effects in elastic-plastic and failure analyses of anisotropic laminated structures
… used to determine stresses at selected points (Gauss quadrature points in each element) of the structure. Material stiffness (constitutive) matrices are evaluated at each Gauss point, in each lamina and in each element, and when the computed stress state violates a user selected failure …
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A sieve auxillary function
… high-order partial derivatives arising from the Gauss quadrature method used. In this thesis, we develop additional representations of q. Certain of these representations lead to computational methods which are amenable to detailed error analysis. We provide this error analysis, and as a …
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Polynomial methods in statistical inference: Theory and practice
… The second part studies the problem of learning Gaussian mixtures. The method of moments is one of the most widely used methods in statistics for parameter estimation, by means of solving the system of equations that match the population and estimated moments. However, in practice and especially …
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Uncertainty quantification for integrated circuits and microelectrornechanical systems
… is to recompute the basis functions and quadrature rules that are required for the high-level uncertainty quantification, since the density function of an obtained low-level surrogate model is generally unknown. In order to address this issue, the first proposed algorithm computes new …
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Novel and faster ways for solving semi-markov processes: mathematical and numerical issues
… quais são invertidas por um método de quadratura Gaussiana, chamado Gauss Legendre, para obter as probabilidades de estado no domínio do tempo. Formulação matemática destes métodos assim como descrições de seus tratamentos numéricos, incluindo questões de exatidão e tempo para convergência, são …
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A formulation to exactly integrate multiple discontinuities in 2D/3D finite elements by means of equivalent polynomials in XFEM analysis
L'abstract è presente nell'allegato / the abstract is in the attachment