Numerical Methods for Ordinary Differential Equations: Proceedings of the Workshop held in L’Aquila (Italy), Sept. 16–18, 1987

C. Baiocchi (auth.), Alfredo Bellen, Charles W. Gear, Elvira Russo (eds.)9780387514789, 0-387-51478-3

Developments in numerical initial value ode methods were the focal topic of the meeting at L’Aquila which explord the connections between the classical background and new research areas such as differental-algebraic equations, delay integral and integro-differential equations, stability properties, continuous extensions (interpolants for Runge-Kutta methods and their applications, effective stepsize control, parallel algorithms for small- and large-scale parallel architectures). The resulting proceedings address many of these topics in both research and survey papers.

---

Table of contents :
Stability in linear abstract differential equations….Pages 1-21
Parallelism across the steps for difference and differential equations….Pages 22-35
On the spectrum of families of matrices with applications to stability problems….Pages 36-53
DAEs: ODEs with constraints and invariants….Pages 54-68
A comparative study of Chebyshev acceleration and residue smoothing in the solution of nonlinear elliptic difference equations….Pages 69-96
A note on Picard-Lindelöf iteration….Pages 97-102
Aspects of parallel Runge-Kutta methods….Pages 103-117
Tolerance proportionality in ODE codes….Pages 118-136