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On the maximum order of optimal B-convergence of Lobatto III C schemes

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Publication:1096342
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DOI10.1007/BF02310106zbMath0633.65063MaRDI QIDQ1096342

Josef Schneid

Publication date: 1987

Published in: Computing (Search for Journal in Brave)


zbMATH Keywords

stabilityerror boundoptimal B-convergenceimplicit Runge-Kutta methods of Lobatto III C type


Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)


Related Items (3)

B-convergence of general linear methods for stiff problems. ⋮ On the relation between algebraic stability and B-convergence for Runge- Kutta methods ⋮ Vienna contributions to the development of RK-methods



Cites Work

  • Unnamed Item
  • A new approach to optimal B-convergence
  • B-convergence of Lobatto IIIC formulas
  • B-convergence of the implicit midpoint rule and the trapezoidal rule
  • Stability Properties of Implicit Runge–Kutta Methods
  • The Concept of B-Convergence
  • A-stable Runge-Kutta processes


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