Finite differencing methods

Finite differencing methods Today analytical techniques, numerical algorithms, and computation facilities have made it possible to solve many hydrologic problems. The emphasis on numerical solutions requires that the hydrologist have some basic knowledge of numerical methods, i.e., the calculus of finite differences. Flow of water in its various phases comprises a large part of hydrologic studies. These processes described by partial differential equations (generally nonlinear) require finite difference approximations for tractable computations. Considerations of convergence, order of approximation, and stability of these difference quotients again require some background in finite difference methods. Through brief discussions, several examples, and a list of references, this paper attempts to introduce some of the above considerations. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Water Resources Research Wiley

Finite differencing methods

Water Resources Research, Volume 3 (3) – Sep 1, 1967

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Publisher
Wiley
Copyright
This paper is not subject to U.S.Copyright © 1967 by the American Geophysical Union.
ISSN
0043-1397
eISSN
1944-7973
DOI
10.1029/WR003i003p00847
Publisher site
See Article on Publisher Site

Abstract

Today analytical techniques, numerical algorithms, and computation facilities have made it possible to solve many hydrologic problems. The emphasis on numerical solutions requires that the hydrologist have some basic knowledge of numerical methods, i.e., the calculus of finite differences. Flow of water in its various phases comprises a large part of hydrologic studies. These processes described by partial differential equations (generally nonlinear) require finite difference approximations for tractable computations. Considerations of convergence, order of approximation, and stability of these difference quotients again require some background in finite difference methods. Through brief discussions, several examples, and a list of references, this paper attempts to introduce some of the above considerations.

Journal

Water Resources ResearchWiley

Published: Sep 1, 1967

References

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