Numerical Treatment of Analytic Functions via Mixed Quadrature Rule
نویسندگان
چکیده
منابع مشابه
Generalized quadrature formulae for analytic functions
A kind of generalized quadrature formulae of maximal degree of precision for numerical integration of analytic functions is considered. Precisely, a general weighted quadrature of Birkhoff-Young type with 4n+3 nodes and degree of precision 6n+5 is studied. Its nodes are characterized by an orthogonality relation and a general numerical method for their computation is given. Special cases and nu...
متن کاملOn Estimation of Quadrature Errors for Analytic Functions 193
In the Hestenes-Stiefel method, the corresponding count is 2ra2 + 5ra + 4. In the latter method, if p„ in the last step were to be computed from the recursion relation, the method would win back the n2 multiplications which it lost to the Craig method in the first step ; but it would hardly be reasonable to calculate the last residual in this way. We note that since the algorithm in either case...
متن کاملError bounds for Gauss-Tur'an quadrature formulae of analytic functions
We study the kernels of the remainder term Rn,s(f) of GaussTurán quadrature formulas ∫ 1 −1 f(t)w(t) dt = n ∑
متن کاملOn Estimation of Quadrature Errors for Analytic Functions
In the Hestenes-Stiefel method, the corresponding count is 2ra2 + 5ra + 4. In the latter method, if p„ in the last step were to be computed from the recursion relation, the method would win back the n2 multiplications which it lost to the Craig method in the first step ; but it would hardly be reasonable to calculate the last residual in this way. We note that since the algorithm in either case...
متن کاملQuadrature rule-based bounds for functions of adjacency matrices
Article history: Received 21 January 2010 Accepted 24 March 2010 Available online 17 April 2010 Submitted by R.A. Brualdi AMS classification: Primary: 65F50, 65F60, 15A16 Secondary: 05C20, 05C82
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Research Journal of Applied Sciences, Engineering and Technology
سال: 2015
ISSN: 2040-7459,2040-7467
DOI: 10.19026/rjaset.10.2503