Method Bubnov-Galerkin

In the standard Galerkin method (also called the Bubnov-Galerkin method) weight functions in the weighted residual statements are selected to be identical... 

So, the three-point scheme (30) (32) constructed by the Ritz method is identical with scheme (12) obtained by means of the IIM. In contrast to the Ritz method the Bubnov-Galerkin method applies equally well to... 

When the coordinate functions y>iix) = y x — x )/h) are chosen by an approved rule as suggested before, the Ritz and the Bubnov-Galerkin methods coincide with the finite element method. 

Variational difference methods (the Ritz method and the Bubnov-Ga-lerkin method). The Ritz and the Bubnov-Galerkin variational methods have had considerable impact on complex numerical modeling problems and designs of difference schemes. 

In the mathematical literature, the Galerkin method is also known as Galerkin-Bubnov, while the case Wj / Petrov-Galerkin [30,68] and is used in special finite element formulations, such as those where the heat transfer is governed by convective effects. The application of Galerkin s method in the finite element method will be covered in detail in Chapter 9 of this textbook. 

INVESTIGATION OF PERIODIC SOLUTIONS OF SYSTEMS WITH AFTEREFFECT BY BUBNOV-GALERKIN S METHOD... 

Application of Bubnov-Galerkin s Method to the Investigation of Periodic Solutions for Some Classes of Systems of Integro-Differential... 

Construction of Quasiperiodic Solutions of Systems uith Lag by Bubnov-Galerkin s Method... 

Let us show that a periodic solution of (3.4) can be constructed with the help of Bubnov-Galerkin s method. 

Bubnov-Galerkin s method for construction of periodic solutions of integ-... 

Bubnov-Galerkin s method for nonlinear periodic systems of integro-differential equations with infinite cfiereffect. Preprint Akad. Nauk Ukrain. SSR, Inst. Matemadki 82.50, Kiev, 1982. 

Bubnov-Galerkin s method is one of these. For nonlinear systems of ordinary differential equations the fairly complete justification of this method was presented in the works by M.Urabe (1965,1966) and L.Cessari (1963). However, when justifying the applicability of Bubnov-Galerkin s method to systems with lag, one should overcome the fundamental difficulties. The idea how to do this was suggested in the work by Samoilenko and Nurzhanov (1979) devoted to the investigation of a certain class of integro-differen-tial equations. 

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