Convergence acceleration by means of numerical quadrature |
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| Authors: | Sven-Åke Gustafson |
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| Institution: | (1) Royal Institute of Technology, Stockholm, Sweden |
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| Abstract: | By regarding a series as a Stieltjes integral to which classical numerical methods are applied, very accurate expressions for the sum are obtained. Convergence and stability are investigated in some cases of practical importance. When certain conditions are satisfied, realistic and strict error bounds for the sum can be found. Some generalizations are also indicated. |
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