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The design and use of a frontal scheme for solving sparse unsymmetric equations

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 909))

Abstract

We first describe frontal schemes for the solution of large sparse sets of linear equations and then discuss the implementation of a code in the Harwell Subroutine Library which solves unsymmetric systems using this approach. We indicate the performance of our software on some test examples.

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References

  • Cliffe, K.A., Jackson, C.P., Rae, J. and Winters, K.H. (1978). Finite element flow modelling using velocity and pressure variables. Harwell Report, AERE R.9202.

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  • Duff, I.S. (1977). MA28—a set of Fortran subroutines for sparse unsymmetric linear equations. Harwell Report, AERE R.8730, HMSO, London.

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  • Duff, I.S. (1981). MA32-A package for solving sparse unsymmetric systems using the frontal method. Harwell Report, AERE R. 10079, HMSO, London.

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  • Hood, P. (1976). Frontal solution program for unsymmetric matrices. Int. J. Numer. Meth. Engng. 10, pp. 379–399.

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  • Irons, B.M. (1970). A frontal solution program for finite element analysis. Int. J. Numer. Meth. Engng. 2, pp. 5–32.

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J. P. Hennart

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© 1982 Springer-Verlag

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Duff, I.S. (1982). The design and use of a frontal scheme for solving sparse unsymmetric equations. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092977

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  • DOI: https://doi.org/10.1007/BFb0092977

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11193-1

  • Online ISBN: 978-3-540-38986-6

  • eBook Packages: Springer Book Archive

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