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Parallel frontal methods for ODE's

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Abstract

This paper concerns parallel frontal predictor-corrector methods. Order and stability of these methods are investigated, when the corrector is solved both by the fixed point iteration method and by the Newton method.

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References

  1. H. Brunner and P. J. van der Houwen,The Numerical Solution of the Volterra Integral Equation CWI Monograph, North-Holland, 1986.

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  2. G. Capobianco and M. R. Crisci,Stability plots of the frontal methods, Pub. Dip. di Mat. ed Appl. Univ. di Napoli, n. 27 (1992).

  3. M. R. Crisci, E. Russo, E. Morrone, and R. Naddei,A parallel frontal O.D.E. method based on Adams formulae, Report 1/22, Progetto Finalizzato Sistemi Informatici e Calcolo Parallelo, 1990.

  4. C. W. Gear,The potential for parallelism in ordinary differential equations, Dept. of Computer Science, Univ. of Illinois Rep. R86-1246, 1986.

  5. W. L. Miranker and W. Lininger,Parallel methods for the numerical integration of ordinary differential equations. Math. Comp., 21 (1967), pp. 303–320.

    Google Scholar 

  6. K. R. Jackson and S. Nørsett,The potential of parallelism in Runge-Kutta methods—Part 1: RK formulas in standard form, Tech. Report n. 1239/90, Univ. of Toronto, Dept. of Computer Science, 1990.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Universitá Degli Studi di Napoli Federico II, Via Cintia-Ed.T, 80126, Napoli, Italy

    M. R. Crisci

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  1. M. R. Crisci
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Additional information

This work has been partially supported by the Italian C.N.R. within the Finalized Project “Sistemi Informatici e Calcolo Parallelo”.

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Crisci, M.R. Parallel frontal methods for ODE's. BIT 34, 215–227 (1994). https://doi.org/10.1007/BF01955869

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  • DOI: https://doi.org/10.1007/BF01955869

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