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research article

Approximation for the exponential integral (Theis well function)

Barry, D. A.  
•
Parlange, J.-Y.
•
Li, L.
2000
Journal of Hydrology

In this note, we provide an analytical approximation to the exponential integral valid for all values of its argument. The approximation is constructed by interpolation between the exponential integral's small and large asymptotes.The interpolation contains an unknown function, which is determined using the minimax criterion. The maximum error in the approximation is less than 0.07%, making it useful for routine hydrological applications.

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Type
research article
DOI
10.1016/S0022-1694(99)00184-5
Author(s)
Barry, D. A.  
Parlange, J.-Y.
Li, L.
Date Issued

2000

Published in
Journal of Hydrology
Volume

227

Issue

1-4

Start page

287

End page

291

Subjects

Groundwater

•

Precision

•

Accuracy

•

Computer programs

•

Efficiency

•

Algorithms

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
ECOL  
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/221109
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