Convergence of linear multistep methods for differential equations with discontinuities

DOI10.1007/BF01399080zbMath0345.65038MaRDI QIDQ1233300

Robert S. Stepleman, Bruce A. Chartres

Publication date: 1976

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132427

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (10)

Optimal solution of a class of non-autonomous initial-value problems with unknown singularities ⋮ Adams methods for neutral functional differential equations ⋮ Complexity of the derivative-free solution of systems of IVPs with unknown singularity hypersurface ⋮ Solving systems of IVPs with discontinuous derivatives-numerical experiments ⋮ Optimal adaptive solution of initial-value problems with unknown singularities ⋮ Optimal adaptive solution of piecewise regular systems of IVPs with unknown switching hypersurface ⋮ Boundary value problems for systems of functional differential equations. ⋮ On the Lax equivalence theorem equipped with orders ⋮ One-step methods of any order for ordinary differential equations with discontinuous right-hand sides ⋮ A deficient spline function approximation to systems of first-order differential equations. II

Cites Work

• A General Theory of Convergence for Numerical Methods
• On the structure of error estimates for finite-difference methods
• Unnamed Item

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