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Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs

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Numerical Analysis and Its Applications (NAA 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1988))

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Abstract

A characterization of P 0 matrices is reported and used to derive simple necessary and sufficient conditions for the unique solvability of a class of nonlinear systems of equations depending on a parameter. An application to the problem of existence and uniqueness of the solutions of one-step implicit schemes applied to scalar ODEs is also presented.

Work supported by MURST and GNIM.

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References

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Bari, Via E. Orabona 4, I-70125, Bari, Italy

    G. Di Lena & F. Iavernaro

Authors
  1. G. Di Lena
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  2. F. Iavernaro
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Rousse, 7000, Rousse, Bulgaria

    Lubin Vulkov  & Plamen Yalamov  & 

  2. UNI-C,Danish Computing Center for Research and Education, DTU,Building 304, 2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2001 Springer-Verlag Berlin Heidelberg

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Di Lena, G., Iavernaro, F. (2001). Solvability of Runge-Kutta and Block-BVMs Systems Applied to Scalar ODEs. In: Vulkov, L., Yalamov, P., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2000. Lecture Notes in Computer Science, vol 1988. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45262-1_60

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  • DOI: https://doi.org/10.1007/3-540-45262-1_60

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41814-6

  • Online ISBN: 978-3-540-45262-1

  • eBook Packages: Springer Book Archive

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