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A note on Picard-Lindelöf iteration

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Numerical Methods for Ordinary Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1386))

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References

  1. C.W.GEAR. The Potential for Parallelism in Ordinary Differential Equations. Report No. UIUCDCS-R-86-1246, Dept. of Computer Science, Univ. of Illinois at Urbana-Champaign, February 1986.

    Google Scholar 

  2. E. LELARASMEE, A.E. RUEHLI, A.L. SANGIOVANNI-VINCENTELLI. The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits. IEEE Trans. Computer-Aided Design of ICAS, vol. CAD-1, no. 3, pp. 131–145, 1982.

    Article  Google Scholar 

  3. U.MIEKKALA. Dynamic Iteration Methods Applied to Linear DAE Systems. REPORT-MAT-A252, Helsinki University of Technology, Institute of Mathematics, November 1987.

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  4. U. MIEKKALA, O. NEVANLINNA. Convergence of Dynamic Iteration Methods for Initial Value Problems. SIAM J. Sci. Stat. Comp., Vol. 8, No. 4, 1987.

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  5. U. MIEKKALA, O. NEVANLINNA. Sets of Convergence and Stability Regions. BIT 27 (1987), 554–584.

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  6. O.NEVANLINNA. Remarks on Picard-Lindelöf iteration. REPORT-MAT-A254, Helsinki University of Technology, Institute of Mathematics, December 1987.

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  7. R.D.SKEEL. Waveform Iteration and the Shifted Picard Splitting. CSRD Rpt. No. 700, Center for Supercomputing Research & Development, Univ. of Illinois at Urbana-Champaign, November, 1987.

    Google Scholar 

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Alfredo Bellen Charles W. Gear Elvira Russo

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© 1989 Springer-Verlag

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Nevanlinna, O. (1989). A note on Picard-Lindelöf iteration. In: Bellen, A., Gear, C.W., Russo, E. (eds) Numerical Methods for Ordinary Differential Equations. Lecture Notes in Mathematics, vol 1386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089233

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  • DOI: https://doi.org/10.1007/BFb0089233

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  • Print ISBN: 978-3-540-51478-7

  • Online ISBN: 978-3-540-48144-7

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