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High precision computing of definite integrals with .net framework c# and x-mpir


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1. Takahasi, H., M. Mori. Double Exponential Formulas for Numerical Intergration. - Publications of RIMS, Kyoto University, Vol. 9, 1974, 721-741.10.2977/prims/1195192451Search in Google Scholar

2. Mori, M. Discovery of Double Exponential Transformation and its Developments. - Publications of RIMS, Kyoto University, Vol. 41, 2004, 897-935.10.2977/prims/1145474600Search in Google Scholar

3. Tanaka, K., M. Sugihara, K. Murota, M. Mori. Function Classes for Double Exponential Integration Formulas. Methematical Engineerong Technical Reports, Tokyo University, 2007.10.1007/s00211-008-0195-1Search in Google Scholar

4. Bailey, D. Tanh-Sinh High-Precision Quadrature. 2006. http://crd-legacy.lbl.gov/~dhbailey/dhbpapers/dhb-tanh-sinh.pdfSearch in Google Scholar

5. Bailey, D., J. Borwen. Highly Paralell, Highly-Precision Numerical Integration. 2008. http://crd.lbl.gov/~dhbailey/dhbpapers/quadparallel.pdfSearch in Google Scholar

6. Ye, L. Numerical Quadrature: Theory and Computation. Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Computer Science at Dalhousie University Halifax, Nova Scotia, August 2006.Search in Google Scholar

7. Bailey, D., K. Jeyabalan, X. Li. A Comparison of Three High-Precision Quadrature Schemas. - Experimental Mathematics, Vol. 3, 2005, 317-329.10.1080/10586458.2005.10128931Search in Google Scholar

8. Bailey, D. H., J. M. Borwein, N. J. Calkin, R. Girgensohn, D. R. Luke, V. H. Moll. Experimental Mathematics in Action. Wellesley, MA, A. K. Peters, Ltd., 2007.Search in Google Scholar

9. Borwein, J., D. Bailey, R. Girgensohn. Experimentation in Mathematics, Computational Paths to Discivery. A. K. Peters, Ltd., 2004.10.1201/9781439864197Search in Google Scholar

10. Bailey, D., D. Broadhurst. Parallell Integer Relation Detection: Techniques and Applications. - Mathematics in Computation, Vol. 70, 2000, No 236, 1719-1736.10.1090/S0025-5718-00-01278-3Search in Google Scholar

11. Bailey, D., J. Borwein. Hand-on-Hand Combat with Thousand-Digit Integrals. - Journal of Computational Science, Vol. 3, May 2012, Issue 3, 77-86.10.1016/j.jocs.2010.12.004Search in Google Scholar

12. Ooura, T., M. Mori. The Double Exponential Formula for Oscillatory Functions over Half Infinite Interval. - J. Comp. Apl. Math., Vol. 38, 1991, 353-360.10.1016/0377-0427(91)90181-ISearch in Google Scholar

13. Ooura, T. A Double Exponential Formula for Fourier Transforms. - Publications of RIMS, Kyoto University, Vol. 41, 2005, 971-977.10.2977/prims/1145474603Search in Google Scholar

14. Bailey, D. H. Experimental Mathematics and Optimization. Invited Short Course Presentation, Mc Master University, Canada, August 2007.10.1201/9781439864333Search in Google Scholar

15. Dzhambov, V., S. Drangajov. Computing of Special Functions with Arbitrary Precision in the Environment of .NET Framework. - Cybernetics and Information Technologies, Vol. 11, 2011, No 2, 32-45.Search in Google Scholar

16. Bailey, D. H., P. Borwei n. High-Performance Computing. http://crd-legacy.lbl.gov/~dhbailey/dhbtalks/dhb-peter-borwein.pdfSearch in Google Scholar

eISSN:
1314-4081
Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Computer Sciences, Information Technology