Stability analysis of reducible quadrature methods for Volterra integro-differential equations

DOI10.21136/AM.1987.104234zbMath0624.65140OpenAlexW1496338452MaRDI QIDQ3026288

V. L. Bakke, Zdzisław Jackiewicz

Publication date: 1987

Full work available at URL: https://eudml.org/doc/15478

zbMATH Keywords

stabilitylinear multistep methodsVolterra integro-differential equationslinear difference equationAdams-Moulton methodstest equationtheta methodreducible quadrature formulasbackward-differentiation-formula method

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20)

Cites Work

• Unnamed Item
• Boundedness of solutions of difference equations and application to numerical solution of Volterra integral equations of the second kind
• Stability of reducible quadrature methods for Volterra integral equations of the second kind
• A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations
• A-stable linear multistep methods for Volterra integro-differential equations
• Stability of numerical methods for Volterra integro-differential equations
• Regions of Stability in the Numerical Treatment of Volterra Integro-Differential Equations
• On the Numerical Stability of Reducible Quadrature Methods for Second Kind Volterra Integral Equations
• The Construction of Reducible Quadrature Rules for Volterra Integral and Integro-differential Equations
• Stability of quadrature rule methods for first kind volterra integral equations
• Linear Multistep Methods for Volterra Integro-Differential Equations

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