Numerical Quadrature: Theory and Computation
نویسندگان
چکیده
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ix Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . x Chapter
منابع مشابه
From subperiodic to low cardinality quadrature formulas for noncircular pupils
We discuss numerical integration formulas with polynomial exactness for noncircular pupils, based on subperiodic trigonometric Gaussian quadrature and compression of discrete measures. Such formulas can be useful in optical design (numerical ray-tracing in obscured and vignetted pupils for accurate spot size computation), and in optical diffraction theory under conditions of partial coherence (...
متن کاملStress Analysis of Skew Nanocomposite Plates Based on 3D Elasticity Theory Using Differential Quadrature Method
In this paper, a three dimensional analysis of arbitrary straight-sided quadrilateral nanocomposite plates are investigated. The governing equations are based on three-dimensional elasticity theory which can be used for both thin and thick nanocomposite plates. Although the equations can support all the arbitrary straight-sided quadrilateral plates but as a special case, the numerical results f...
متن کاملPolynomial approximation and quadrature on geographic rectangles
Using some recent results on subperiodic trigonometric interpolation and quadrature, and the theory of admissible meshes for multivariate polynomial approximation, we study product Gaussian quadrature, hyperinterpolation and interpolation on some regions of Sd, d ≥ 2. Such regions include caps, zones, slices and more generally spherical rectangles defined by longitudes and (co)latitudes (geogra...
متن کاملFree vibration analysis of thin annular plates integrated with piezoelectric layers using differential quadrature method
In this article, using generalized differential quadrature (GDQ) methods, free vibration of a thin annular plate coupled with two open circuit piezoelectric layers, is numerically studied based on the classical plate theory. The governing differential equations with respective boundary conditions are derived and transformed into a set of algebraic equations by implementing the GDQ rule, then so...
متن کاملThe effect of small scale and intermolecular forces on the nonlinear Pull-in instability behavior of nano-switches using differential quadrature method
Using differential quadrature method (DQM), this study investigated pull-in instability of beam-type nano-switches under the effects of small-scale and intermolecular forces including the van der Waals (vdW) and the Casimir forces. In these nano-switches, electrostatic forces served as the driving force, and von-Karman type nonlinear strain was used to examine nonlinear geometric effects. To de...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006