Discussions and Closures
Aug 20, 2018

Closure to “Comparison of Current Methods for the Evaluation of Einstein’s Integrals” by Kaveh Zamani, Fabián A. Bombardelli, and Babak Kamrani-Moghaddam

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Publication: Journal of Hydraulic Engineering
Volume 144, Issue 11
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Data Availability Statement

The MATLAB scripts can be found in the following repository: https://github.com/kavehzamani/Einstein_sediment_integral.

References

Einstein, H. A. 1950. The bed-load function for sediment transportation in open channel flows. Washington, DC: USDA Office of Technology.
Guo, J., and P. Y. Julien. 2004. “Efficient algorithm for computing Einstein integrals.” J. Hydraul. Eng. 130 (12): 1198–1201. https://doi.org/10.1061/(ASCE)0733-9429(2004)130:12(1198).
Guo, J., and P. Y. Julien. 2006. “Closure to ‘Efficient algorithm for computing Einstein integrals’ by Junke Guo and Pierre Y. Julien.” J. Hydraul. Eng. 132 (3): 337–339. https://doi.org/10.1061/(ASCE)0733-9429(2006)132:3(337).
Hutton, C., T. Wagener, J. Freer, D. Han, C. Duffy, and B. Arheimer. 2016. “Most computational hydrology is not reproducible, so is it really science?” Water Resour. Res. 52 (10): 7548–7555. https://doi.org/10.1002/2016WR019285.
Intel. 2017. “Intel integrated performance primitives for Intel architecture developer reference.” Accessed August 1, 2018. https://software.intel.com/en-us/fortran-compiler-18.0-developer-guide-and-reference.
LeVeque, R. J. 2013. “Top ten reasons to not share your code (and why you should anyway).” SIAM News, April 1, 2013.
Shanks, D. 1955. “Non-linear transformation of divergent and slowly convergent sequences.” J. Math. Phys. 34 (1–4): 1–42. https://doi.org/10.1002/sapm19553411.
Stodden, V., J. Borwein, and D. H. Bailey. 2013. “Setting the default to reproducible: Computational science research.” SIAM News 46 (5): 4–6.
Weniger, E. J. 1989. “Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series.” Comput. Phys. Rep. 10 (5–6): 189–371. https://doi.org/10.1016/0167-7977(89)90011-7.
Zamani, K. 2015. “Efficient and reliable mathematical modeling techniques for multi-phase environmental flows.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California, Davis.
Zamani, K., F. A. Bombardelli, and B. Kamrani-Moghaddam. 2017. “Comparison of current methods for the evaluation of Einstein’s integrals.” J. Hydraul. Eng. 143 (4): 06016026. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001240.

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Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 144Issue 11November 2018

History

Received: Jul 25, 2017
Accepted: Apr 18, 2018
Published online: Aug 20, 2018
Published in print: Nov 1, 2018
Discussion open until: Jan 20, 2019

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Authors

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Kaveh Zamani, A.M.ASCE [email protected]
Senior Flood Modeler, Wood Rodgers, Inc., 3301 C St., Bldg. 100-B, Sacramento, CA 95816. Email: [email protected]
Fabián A. Bombardelli, A.M.ASCE [email protected]
Gerald T. and Lilian P. Professor, Dept. of Civil and Environmental Engineering, Univ. of California, 2001 Ghausi Hall, One Shields Ave., Davis, CA 95616 (corresponding author). Email: [email protected]; [email protected]

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