Two sided error bounds for discretisation methods in ordinary differential equations

DOI10.1007/BF01934445zbMath0496.65036MaRDI QIDQ1170016

S. Singh

Publication date: 1982

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

optimal consistency22, 314-330 (1982)stability functionalstwo sided error bounds

Mathematics Subject Classification ID

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

Related Items (4)

The application of explicit Nyström methods to singular second order differential equations ⋮ Generalized reducible quadrature methods for Volterra integral and integro-differential equations ⋮ Two sided error bounds for discretisation methods in special qth order ordinary differential equations ⋮ Convergence of linear multistep methods with multiple roots

Cites Work

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• On the possibility of two-sided error bounds in the numerical solution of initial value problems
• Explicit, optimal stability functionals and their application to cyclic discretization methods
• On the convergence of advanced linear multistep methods
• Analysis of Fixed-Stepsize Methods
• The Order of Convergence of General Linear Methods for Ordinary Differential Equations
• On the structure of error estimates for finite-difference methods

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