Singularly perturbed singular boundary value problemSingular pointNumerical integrationBoundary layerIn this paper, we proposed a numerical integration method for solving singular-singular perturbation two-point
Numerical univariate integration Implemented as a Mata class Additive quadrature model Adaptive Gauss—Kronrod method Implemented as a Mata class Robustness to singular points Stata provides statistical solutions developed by StataCorp, and it provides programming tools for those who want to develop their ...
L.: On the Numerical Integration of Singular Surface Integrals in the BEM . Proceedings of the Seventh GAMM-Seminar on Numerical Techniques for Boundary Element Methods, 25–27 January 1991, held in Kiel/Germany. To appear in: Hirschel, E. H. et al (eds.): Notes on Numerical Fluid ...
Numerical integration Numerical univariate integration Implemented as a Mata class Additive quadrature model Adaptive Gauss—Kronrod method Implemented as a Mata class Robustness to singular points See all features Stata provides statistical solutions developed by StataCorp, and it provides programming tools ...
A fast Fourier-Galerkin method for solving singular boundary integral equations. Haotao Cai,Yuesheng Xu. SIAM Journal on Numerical Analysis . 2008Jiang, Y., Xu, Y.: Fast Fourier-Galerkin methods for solving singular boundary integral equations: numer- ical integration and precondition. J. Comput....
For some element shape functions, the stiffness matrix will become singular if the integration order is lowered. This is mediated by the built-inHourglass stabilizationfeature. Some material models, like plasticity, have local states stored at integration points. This is automatically synchronized with...
Previous chapters have shown that as more advanced applications of the Boundary Element Method are developed, more attention must be paid to the problem of carrying out accurate evaluation of the singular integrals. Thus, when curved elements were used i
integrationsplines (mathematics)/ numerical integrationsingular two-point boundary value problemfinite differencedifferential operatorcubic spline approximationregular two-point boundary value problem/ B0290M Numerical integration and differentiation B0290F Interpolation and function approximation (numerical analysis) ...
1) numericalintegration/analytic integration 数值积分/解析积分2) analytical integral 解析积分 1. A new analytical integral algorithm is proposed and applied to the evaluation of the nearly singular integrals in the Boundary Element Method for 2D anisotropic potential problems. 导出了一种解析积分算法...
The piecewise polynomial collocation method is discussed to solve second kind Fredholm integral equations with weakly singular kernels K (t, s) which may be discontinuous at s = d, d = const. The main result is given in Theorem 4.1. Using special collocation points, error estimates at the ...