Singularly perturbed singular boundary value problemSingular pointNumerical integrationBoundary layerIn this paper, we proposed a numerical integration method for solving singular-singular perturbation two-point boundary value problems. The original boundary value problem is transformed to an asymptotically ...
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) ...
We consider semi-analytical and purely numerical integration methods for weakly singular integrals with point singularities on curved smooth surfaces. The methods can be applied to many practical computations in Geodesy, e.g. terrain corrections, Stokes' and Hotines' integral, surface potentials, and ...
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 ...
The product integration method is used for the numerical solution of weakly singular integral equations of the second kind. These equations often have solu... C Schneider - 《Mathematics of Computation》 被引量: 114发表: 1981年 Cauchy singular integral equations in spaces of continuous functions an...
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...
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 ...
This paper describes a numerical approach for obtaining the solution of singular integral equations using anLp-approximation method. The basic elements of this approach are a minimization with respect to a set of parameters in a function chosen to represent the solution of the integral equation and...
The numerical method is collocation with piecewise polynomial interpolation in the parametrization variables. We approximate both the surface S and the unknown solution ae by using such interpolation. In this thesis, we first deal with the numerical integration of functions with point singularities over...
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 ...