
Numerical Methods for Ordinary Differential Equations
Proceedings of the Workshop held in L'Aquila (Italy), September 16-18, 1987
Springer (Publisher)
Published on 9. August 1989
Book
Paperback/Softback
VIII, 140 pages
978-3-540-51478-7 (ISBN)
Description
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.
More details
Series
Edition
1989 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 140 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 9 mm
Weight
230 gr
ISBN-13
978-3-540-51478-7 (9783540514787)
DOI
10.1007/BFb0089227
Schweitzer Classification
Content
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.