Convergence analysis of discretization methods for nonlinear first kind Volterra integral equations

DOI10.1007/BF01389430zbMath0563.65082MaRDI QIDQ1057636

Rolf Jeltsch, Sean McKee, Jennifer A. Dixon

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/133099

zbMATH Keywords

convergenceoptimal consistencytwo-sided error boundsnonlinear Volterra integral equations of the first kind

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (3)

Numerical solution of nonlinear weakly singular Volterra integral equations of the first kind: an \textit{hp}-version collocation approach ⋮ \(hp\)-version collocation method for a class of nonlinear Volterra integral equations of the first kind ⋮ A perspective on the numerical treatment of Volterra equations

Cites Work

• Best convergence rates of linear multistep methods for Volterra first kind equations
• Reducible quadrature methods for Volterra integral equations of the first kind
• On the solution of Volterra integral equations of the first kind
• Discretization Methods and Block Isoclinal Matrices
• The solution of Volterra integral equations of the first kind using inverted differentiation formulae
• Stability of quadrature rule methods for first kind volterra integral equations
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