The averaged moduli of smoothness : applications in numerical methods and approximation
著者
書誌事項
The averaged moduli of smoothness : applications in numerical methods and approximation
（Pure and applied mathematics）
Wiley, c1988
- タイトル別名
-
Usredneni moduli na gladkost
大学図書館所蔵 件 / 全39件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Translation of: Usredneni moduli na gladkost
"A Wiley-Interscience publication"
Bibliography: p. 173-178
Includes index
内容説明・目次
内容説明
With much emphasis on practical applications, this book describes, for the first time, a new method of estimating the error in commonly used numerical methods. These include interpolation, approximation of function by means of operators, quadrature formulae, and network methods for numerical solution of integral and differential equations (finite differences, finite elements, collocation and others). The advantage of the new method, which uses what the authors have named "the averaged moduli of smoothness", is that it allows the error to be estimated for an approximation method or beyond those imposed by the problem itself.
目次
- Notation
- functions moduli
- interpolation theorems
- numerical integration
- approximation of functions by means of linear summation operators in L
- estimation for the error in the numerical solution of integral equations
- estimates for the error in the numerical solution of the Cauchy problem for ordinary differential equations
- estimates for the error in the numerical solution of the boundary value problem for ordinary differential equations of second order
- one-sided approximation of functions.
「Nielsen BookData」 より