𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global stability analysis of the Runge-Kutta methods for volterra integral and integro-differential equations with degenerate kernels

✍ Scribed by M. R. Crisci; Z. Jackiewicz; E. Russo; A. Vecchio

Publisher
Springer Vienna
Year
1990
Tongue
English
Weight
444 KB
Volume
45
Category
Article
ISSN
0010-485X

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Mathematical programming methods in the
Mathematical programming methods in the numerical solution of Volterra integral and integro-differential equations with weakly-singular kernel
✍ E.A. Galperin; E.J. Kansa; A. Makroglou; S.A. Nelson πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 444 KB

Nonlinear Volterra integral and integro differential equations with weakly-singular kernel are considered and solved numerically using nonlinear Mathematical programming methods based on minimax approximations. In both cases polynomial and multiquadric approximation are used.

Stability of Runge–Kutta methods for the
Stability of Runge–Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments
✍ W.J. Lv; Z.W. Yang; M.Z. Liu πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 640 KB

This paper deals with the numerical properties of Runge-Kutta methods for the solution of u (t) = au(t) + a 0 u([t + 1 2 ]). It is shown that the Runge-Kutta method can preserve the convergence order. The necessary and sufficient conditions under which the analytical stability region is contained in