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BIT Numerical Mathematics

, Volume 32, Issue 3, pp 539–543 | Cite as

Family of symplectic implicit Runge-Kutta formulae

  • Satoshi Saito
  • Hiroshi Sugiura
  • Taketomo Mitsui
Scientific Notes

Abstract

A family of formulae for the sympletic IRK method is investigated. Specifically, focus is given to general solutions for formula parameters of IRK under the symplectic and the order conditions. Examples of such formulae are constructed for up to three stages.

AMS Subject Classification

65L06 65L20 

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Copyright information

© BIT Foundations 1992

Authors and Affiliations

  • Satoshi Saito
    • 1
  • Hiroshi Sugiura
    • 1
  • Taketomo Mitsui
    • 1
  1. 1.Department of Information Engineering, School of EngineeringNagoya UniversityNagoyaJapan

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