On the Stability of Volterra–Runge–Kutta Methods

DOI10.1137/0721008zbMath0532.65086OpenAlexW1995828422MaRDI QIDQ3314926

Christian Lubich, Ernst Hairer

Publication date: 1984

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0721008

zbMATH Keywords

integral equations of the second kindalgebraic stabilitytest equationslinear convolution equationsextended Runge-Kutta methods

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Volterra integral equations (45D05)

Related Items (12)

Multi-grid dynamic iteration for parabolic equations ⋮ FFT techniques in the numerical solution of convolution equations ⋮ Recent advances in the numerical solution of Volterra integral equations ⋮ Nonlinear stability of direct quadrature methods for Volterra integral equations ⋮ A discrete time version for models of population dynamics in the presence of an infection ⋮ Stability of collocation methods for Volterra integro-differential equations ⋮ Boundedness of the global error of some linear and nonlinear methods for Volterra integral equations ⋮ A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels ⋮ A new code for Volterra integral equations based on natural Runge-Kutta methods ⋮ Stability of discrete volterra equations of hammerstein type ⋮ 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

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