Numerical Methods for Ordinary Differential Equations: Proceedings of the Workshop held in L'Aquila (Italy), September 16-18, 1987 (Lecture Notes in Mathematics, 1386)

ISBN 10: 3540514783 / ISBN 13: 9783540514787

Editore: Springer, 1989

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Codice articolo SHUB385352

Dati bibliografici

• Titolo: Numerical Methods for Ordinary Differential Equations: Proceedings of the Workshop held in L'Aquila (Italy), September 16-18, 1987 (Lecture Notes in Mathematics, 1386)
• Editore: Springer
• Data di pubblicazione: 1989
• Lingua: Inglese
• ISBN 10: 3540514783
• ISBN 13: 9783540514787
• Rilegatura: Brossura
• Condizione: nuovo

Descrizione articolo

Riassunto

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.

Contenuti

Stability in linear abstract differential equations.- Parallelism across the steps for difference and differential equations.- On the spectrum of families of matrices with applications to stability problems.- DAEs: ODEs with constraints and invariants.- A comparative study of Chebyshev acceleration and residue smoothing in the solution of nonlinear elliptic difference equations.- A note on Picard-Lindelöf iteration.- Aspects of parallel Runge-Kutta methods.- Tolerance proportionality in ODE codes.