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Numerical Analysis pp 110–118Cite as

Petrov-Galerkin methods for non-self-adjoint problems

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 773))

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References

  1. Barrett, J.W. & Morton, K.W. Optimal finite element solutions to diffusion-convection problems in one dimension. U. of Reading Num. Anal. Rep. 3/78 (1978).

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  2. Christie, I, Griffiths, D.F., Mitchell, A.R. & Zienkiewicz, O.C. Finite element methods for second order differential equations with significant first derivatives. Int. J. Num. Meth. Eng. 10 (1976) 1389–1396.

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  4. Heinrich, J.C., Huyakorn, P.S., Mitchell, A.R. & Zienkiewicz, O.C. An upwind finite element scheme for two-dimensional convective transport equations. Int. J. Num. Meth. Eng. 11 (1977) 131–143.

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  5. Hemker, P.W. A numerical study of stiff two-point boundary problems. Thesis, Math. Cent. Amsterdam (1977).

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  7. Mock, M.S. Projection methods with different trial and test spaces. Math. Comp. 30 (1976) 400–416.

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  8. Morton, K.W. & Parrott, A.K. Generalised Galerkin methods for first order hyperbolic equations. U. of Reading Num. Anal. Rep. 4/78 (1978).

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  9. Sod, G.A. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comp. Phys. 27 (1978) 1–31.

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Authors
  1. K. W. Morton
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G. Alistair Watson

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© 1980 Springer-Verlag

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Morton, K.W. (1980). Petrov-Galerkin methods for non-self-adjoint problems. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0094167

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  • DOI: https://doi.org/10.1007/BFb0094167

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09740-2

  • Online ISBN: 978-3-540-38562-2

  • eBook Packages: Springer Book Archive

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