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Shapiro, Allen; Pinder, George F.

Analysis of an upstream weighted collocation approximation to the transport equation. (English) Zbl 0474.65083

J. Comput. Phys. 39, 46-71 (1981).
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Cited in 8 Documents

MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35K20 Initial-boundary value problems for second-order parabolic equations

Keywords:

upstream weighted collocation; orthogonal collocation method; transport equations; Fourier series analysis
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References:

[1] Gray, W. G.; Finder, G. F., Water Resources Res., 12, 547-555 (1976)
[2] Huyakorn, P. S., Appl. Math. Modelling, 1, 187-195 (1977) · Zbl 0362.76144
[3] Finder, G. F.; Shapiro, A., Water Resources Res., 15, 1177-1182 (1979)
[4] Strang, G.; Fix, G. F., An Analysis of the Finite Element Method (1973), Prentice-Hall: Prentice-Hall Englewood Cliffs, N. J · Zbl 0278.65116
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