Convergence and stability results in Runge-Kutta type methods for Volterra integral equations of the second kind

DOI10.1007/BF01932780zbMath0472.65095MaRDI QIDQ3925850

P. J. van der Houwen

Publication date: 1980

Published in: BIT Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

order of convergenceVolterra integral equationsRunge-Kutta type methodssecond kindstability behaviour

Mathematics Subject Classification ID

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

Related Items (11)

Super implicit multistep collocation methods for nonlinear Volterra integral equations ⋮ Highly stable Runge-Kutta methods for Volterra integral equations ⋮ A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations ⋮ Natural Volterra Runge-Kutta methods ⋮ A Hermite collocation method for approximating a class of highly oscillatory integral equations using new Gaussian radial basis functions ⋮ A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels ⋮ Global stability analysis of the Runge-Kutta methods for Volterra integral and integro-differential equations with degenerate kernels ⋮ A new code for Volterra integral equations based on natural Runge-Kutta methods ⋮ A perspective on the numerical treatment of Volterra equations ⋮ Natural Continuous Extensions of Runge-Kutta Methods for Volterra Integral Equations of the Second Kind and Their Applications ⋮ Stability analysis of methods employing reducible rules for Volterra integral equations

Cites Work

• Unnamed Item
• Runge-Kutta Theory for Volterra Integral Equations of the Second Kind
• Stability Regions in the Numerical Treatment of Volterra Integral Equations

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