On optimal high accuracy linear multistep methods for first kind volterra integral equations

DOI10.1007/BF01931215zbMath0402.65068OpenAlexW2017869574MaRDI QIDQ4187275

Sean McKee, Celia Andrade

Publication date: 1979

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01931215

zbMATH Keywords

Numerical ResultsLinear Multistep MethodsFirst Kind Volterra Integral EquationsHigh Accuracy Convergent MethodsRoot Condition for Stability

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Volterra integral equations (45D05)

Related Items (6)

Product integration rules for Volterra integral equations of the first kind ⋮ Best convergence rates of linear multistep methods for Volterra first kind equations ⋮ Convergence of linear multistep methods for Volterra first kind equations with k(t,t)=0 ⋮ Reducible quadrature methods for Volterra integral equations of the first kind ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Unnamed Item

Cites Work

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• Best convergence rates of linear multistep methods for Volterra first kind equations
• On the order of composite multistep methods for ordinary differential equations
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• Stability and Convergence of Multistep Methods for Linear Volterra Integral Equations of the First Kind
• Multistep Methods for Solving Linear Volterra Integral Equations of the First Kind
• The solution of Volterra integral equations of the first kind using inverted differentiation formulae
• Stability Regions in the Numerical Treatment of Volterra Integral Equations
• Stability of quadrature rule methods for first kind volterra integral equations
• Numerical methods for Volterra integral equations of the first kind
• Cyclic Composite Multistep Predictor-Corrector Methods
• Improved numerical methods for Volterra integral equations of the first kind

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