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Some aspects of using IV software to solve BVP via a Riccati transformation

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Publication:1122333
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DOI10.1016/0096-3003(89)90134-3zbMath0675.65082OpenAlexW4252940846WikidataQ111897245 ScholiaQ111897245MaRDI QIDQ1122333

Luca Dieci

Publication date: 1989

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(89)90134-3


zbMATH Keywords

Riccati transformationsuperstabilitystifftwo- point boundary value problemsinitial value methodsmultiple embedding


Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)



Uses Software

  • DASSL


Cites Work

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  • Numerical Methods for Stiff Two-Point Boundary Value Problems
  • The Riccati Transformation in the Solution of Boundary Value Problems
  • On Dichotomy and Well Conditioning in BVP
  • A Riccati Transformation Method for Solving Linear BVP<scp>s</scp>. I: Theoretical Aspects
  • Invariant Imbedding, the Box Scheme and an Equivalence between Them


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