摘要:

In [5] a variational method is suggested for the following non-characteristic Cauchy problem for parabolic equations“surface temperature”“surface heat flux”Herepis an elliptic operator, ϕ andgare given functions. In this paper a discretization in time Galerkin method and a finite difference method for this variational problem are proposed. Convergence theorems of these methods are given.

ISSN:0163-0563    

DOI:10.1080/01630569208816499

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

The main results in this paper are, the characterization of all the σfinite positive measures μ andv, for whichK(L1(μ, L1(v)) proximinal inK(L1(μ, L1(v))all the a-finite positive measures fi andv, for whichK(L∞(μ), L∞(v))is proximinal inL(L∞μ)), Lv(v))and all the compact Hausdorff spaces Q, for whichK(C(Q), L∞(μ)) is proximinal inL(C(Q), :∞(μ))

ISSN:0163-0563    

DOI:10.1080/01630569208816500

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

In this paper we define a class of rational interpolation operatorsNn,p(f,x)(Pε(0, ∞)), a special case of which has been considered by Nevai forp= 2. Their basic properties are established and their convergence for continuous functions is proved. The rate of convergence is also obtained.

ISSN:0163-0563    

DOI:10.1080/01630569208816501

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

摘要:

The paper deals with approximate methods for solving ill-posed problems with nonselfadjoint bounded linear operators acting in a Hilbert space. The case of nonexact right hand side is considered.Aposteriori choice of a method parametern(δ) depending on the error of data is based on the value of the residuum. The convergence of approximate solution when δ → 0 is investigated and the parametern(δ) is estimated. The simple iteration method is considered in more detail.

ISSN:0163-0563    

DOI:10.1080/01630569208816502

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor

ISSN:0163-0563    

DOI:10.1080/01630569208816488

出版商:Marcel Dekker, Inc.    

年代:1992

数据来源: Taylor