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Groundwater flow as a singular perturbation problem and remarks about numerical methods

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Part of the Lecture Notes in Mathematics book series (LNM,volume 322)

Keywords

  • Groundwater Flow
  • Singular Perturbation
  • Nonlinear Parabolic Equation
  • Internal Boundary Layer
  • Singular Perturbation Problem

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Bibliography

  1. Eagleton, P.G. Dynamic Hydrology, McGraw Hill, 1970.

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  2. Linsley, R.K., and Crawford, N.H. Digital Simulation in Hydrology: Stanford Watershed Model IV, Technical Report #39, Department of Civil Engineering, Stanford University, 1966.

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  3. Hornberger, G.M., and Remson, I. Numerical Methods in Subsurface Hydrology, with an introduction to the finite element method, Wiley-Interscience, 1971.

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  4. Hornberger, G.M., and Remson, I. A Moving Boundary Model of a One-Dimensional Saturated-Unsaturated Transient Porous Flow System, Water Resources Research, Vol. 6, 898–905, 1970.

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  5. Freeze, R.A. Three Dimensional Transient Saturated-Unsaturated Flow in a Groundwater Basin, Water Resources Research, Vol. 7, 347–366, 1971.

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  6. Freeze, R.A. The Role of Subsurface Flow in the Generation of Surface Runoff, 1. Baseflow Contributions to Channel Flow, IBM Research Report RC 3631, 1971.

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© 1973 Springer Verlag

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Simpson, R.B. (1973). Groundwater flow as a singular perturbation problem and remarks about numerical methods. In: Stakgold, I., Joseph, D.D., Sattinger, D.H. (eds) Nonlinear Problems in the Physical Sciences and Biology. Lecture Notes in Mathematics, vol 322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060572

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  • DOI: https://doi.org/10.1007/BFb0060572

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06251-6

  • Online ISBN: 978-3-540-38558-5

  • eBook Packages: Springer Book Archive