The Boundary Layer Problem in Bayesian Adaptive Quadrature
نویسندگان
چکیده
μ£· ́ ̈Î ́Ò° ̧2μ° μ£· ́ ̈Î¥ ́ ́μ£μ μÉ·¥§± [a, b] ¶μ±·Ò¢ ¥É 3¥§μ ̧±μ¶ ̈Î¥ ̧± ̈¥ ¡μ±μ¢Ò¥ μ¡2 ̧É ̈ ¢ ́ÊÉ· ̈ μÉ·¥§± ̧ ±μ ́Í 3 ̈ a ̈ b. Šμ··¥±É ́ Ö ¤ ̈ £ ́μ ̧É ̈± ¶μ¢¥¤¥ ́ ̈Ö ¶μ¤Ò ́É¥£· 2Ó ́μ£μ Ê· ¢ ́¥ ́ ̈Ö ¢ a ̈ b, μ ̧ ́μ¢ ́ ́ Ö ́ ¥£μ ¢Ò¡μ·±¥ ¢ ́ÊÉ· ̈ ¶μ£· ́ ̈Î ́μ£μ ̧2μÖ, Ö¢2Ö¥É ̧Ö ¶¥·¢μ° ̈§ ́ ¡μ· ̈¥· ·Ì ̈Î¥̧± ̈ ʶμ·Ö¤μÎ¥ ́ ́ÒÌ ±· ̈É¥· ̈¥¢, ¤μ¶Ê ̧± ÕÐ ̈Ì a priori ¡ °¥ ̧μ¢ ̧± ̈° ¢Ò¢μ¤ μ¡ ÔËË¥±É ̈¢ ́μ° ̧¥ÉμÎ ́μ° £¥ ́¥· Í ̈ ̈ ¢ ¢Éμ3 É ̈Î¥ ̧±μ° ¤ ¶É ̈¢ ́μ° ±¢ ¤· ÉÊ·¥.
منابع مشابه
Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utiliz...
متن کاملA Simple and Systematic Approach for Implementing Boundary Conditions in the Differential Quadrature Free and Forced Vibration Analysis of Beams and Rectangular Plates
This paper presents a simple and systematic way for imposing boundary conditions in the differential quadrature free and forced vibration analysis of beams and rectangular plates. First, the Dirichlet- and Neumann-type boundary conditions of the beam (or plate) are expressed as differential quadrature analog equations at the grid points on or near the boundaries. Then, similar to CBCGE (direct ...
متن کاملNvestigation of a Boundary Layer Problem for Perturbed Cauchy-Riemann Equation with Non-local Boundary Condition
Boundary layer problems (Singular perturbation problems) more have been applied for ordinary differential equations. While this theory for partial differential equations have many applications in several fields of physics and engineering. Because of complexity of limit and boundary behavior of the solutions of partial differential equations these problems considered less than ordinary case. In ...
متن کاملAdaptive Robust Control for Trajectory Tracking of Autonomous underwater Vehicles on Horizontal Plane
This manuscript addresses trajectory tracking problem of autonomous underwater vehicles (AUVs) on the horizontal plane. Adaptive sliding mode control is employed in order to achieve a robust behavior against some uncertainty and ocean current disturbances, assuming that disturbance and its derivative are bounded by unknown boundary levels. The proposed approach is based on a dual layer adaptive...
متن کاملNonlocal Mechanical Buckling Analysis of Nano Single Layer Sheets Using Differential Quadrature method
The following article investigates buckling of moderately thick circular Nano plates with an orthotropic property under uniform radial compressive in-plane mechanical load. Taking into account nonlocal elasticity theory (Eringen), principle of virtual work, first order shear deformation plate theory (FSDT) and nonlinear Von-Karman strains, the governing equations are obtained based on displacem...
متن کامل