نتایج جستجو برای: polynomial differential quadrature

تعداد نتایج: 388484  

Journal: :Foundations of Computational Mathematics 2018

2003
Arieh Iserles ARIEH ISERLES

This paper surveys recent advances in the allied challenges of discretizing highly oscillatory ordinary differential equations and computing numerical quadrature of highly oscillatory integrals, and attempts to sketch the mathematical foundations of a general approach to these issues. Having described the Magnus, Cayley and Neumann methods for highly oscillatory ordinary differential equations ...

Journal: :computational methods for differential equations 0
m. behroozifar babol university of technology s. a. yousefi shahid beheshti university

in this paper, we introduce hybrid of block-pulse functions and bernstein polynomials and derive operational matrices of integration, dual, differentiation, product and delay of these hybrid functions by a general procedure that can be used for other polynomials or orthogonal functions. then, we utilize them to solvedelay differential equations and time-delay system. the method is based upon ex...

Journal: :Journal of Artificial Intelligence 2010

In this paper, it is tried to find an approximate single layer equivalent for multi-layer graphene sheets based on third order non-local elasticity theory. The plates are embedded in two parameter Winkler-Pasternak elastic foundation, and also the thermal effects are considered. A uniform transverse load is imposed on the plates. Applying the non-local theory of Eringen based on third order she...

2005
Ioan Popa

We give exact estimations of certain weighted L2-norms of the derivative of polynomial, which have a curved majorant. They are all obtained as applications of special quadrature formulae. 2000 Mathematical Subject Classification: 41A17, 41A05, 41A55, 65D30

A.D. Rahmatabadi, M. Zare-Mehrjardi M.R. Fazel

This paper presents the application of the method of generalized differential quadrature (GDQ) for the analysis of hydrodynamic thrust bearings. GDQ is a simple, efficient, high-order numerical technique and it uses the information on all grid points to approach the derivatives of the unknown function. The effectiveness of the solution technique is verified by comparing the GDQ computed results...

Journal: :Computer Physics Communications 2012
Luigi Brugnano Felice Iavernaro Donato Trigiante

We introduce a family of fourth-order two-step methods that preserve the energy function of canonical polynomial Hamiltonian systems. As is the case with linear mutistep and one-leg methods, a prerogative of the new formulae is that the associated nonlinear systems to be solved at each step of the integration procedure have the very same dimension of the underlying continuous problem. The key t...

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