Numerical Methods for Ordinary Differential Equations: Proceedings of the Workshop held in L'Aquila (Italy), Sept. 16-18, 1987: 1386 - Brossura

Brossura

ISBN 10: 3540514783 ISBN 13: 9783540514787

Casa editrice: Springer, 2009

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.

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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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2009
• Lingua: Inglese
• ISBN 10: 3540514783
• ISBN 13: 9783540514787
• Rilegatura: Copertina flessibile
• Numero di pagine: 144
• Redattore: Bellen Alfredo
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania