Series acceleration

Mathematical technique From Wikipedia, the free encyclopedia

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In numerical analysis, series acceleration (sometimes called as convergence improvement[1]) is the name for algorithms that transforms slowly convergent series to rapidly convergent series.[2][3]

Where it is used

The NSum and NLimit command in Wolfram Mathematica is based on series acceleration.[4] In addition, Romberg integration (a famous numerical integration method) is also based on this technique.[5][6]

Further reading

  • Brezinski, C. (2019). Reminiscences of Peter Wynn, Numerical Algorithms. (Peter Wynn is one of the most famous researchers of series acceleration. This article includes the summary of his studies.)

Notes

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