Numerical Integration of Einstein's Integrals, I1 and I2
- 1 December 1984
- journal article
- Published by American Society of Civil Engineers (ASCE) in Journal of Hydraulic Engineering
- Vol. 110 (12) , 1863-1868
- https://doi.org/10.1061/(asce)0733-9429(1984)110:12(1863)
Abstract
Einstein's bed load function for computing total load discharge per unit width requires computation of Einstein's integrals I1 and I2. The integration method proposed in this paper employs isolation of the singular point. It is shown that accurate numerical estimates of Einstein's integrals for extremely large integrands can be obtained by summing the exact series-expansion integral near the lower integration limit and the numerical integral over the remaining upper integration zone.Keywords
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