DocumentCode
2966890
Title
Gauss-Lobatto-Kronrod Formulae and Adaptive Numerical Integration
Author
Trimbitas, Radu T. ; Trimbitas, Maria Gabriela
Author_Institution
Dept. of Appl. Math., BabesIBolyai Univ., Cluj-Napoca, Romania
fYear
2008
fDate
26-29 Sept. 2008
Firstpage
183
Lastpage
186
Abstract
The aim of this paper is to develop a MATLAB function for one dimensional numerical integration based on adaptive algorithms and Gauss-Lobatto-Kronrod formulas. Using Maple, we find a triple of formulas, and then we use it to code ananalogous of MATLAB quadl function with a higher degree of exactness. Finally, some examples and tests which compare our function and quadl are given. Our function is a good alternative to quadl when the accuracy and reliability requirements are hard.
Keywords
integration; mathematics computing; 1D numerical integration; Gauss-Lobatto-Kronrod formulae; MATLAB function; Maple; adaptive algorithm; adaptive numerical integration; Adaptive algorithm; Computer science; Error analysis; Gaussian processes; Helium; MATLAB; Mathematics; Polynomials; Scientific computing; Testing; Gauss-Lobatto-Kronrod formula; adaptive algorithm; numerical integration;
fLanguage
English
Publisher
ieee
Conference_Titel
Symbolic and Numeric Algorithms for Scientific Computing, 2008. SYNASC '08. 10th International Symposium on
Conference_Location
Timisoara
Print_ISBN
978-0-7695-3523-4
Type
conf
DOI
10.1109/SYNASC.2008.27
Filename
5204808
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