This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
A.BELLEN, M.ZENNARO. Parallel algorithms for initial value problems for nonlinear difference and differential equations. Quaderni Matematici. Dip. di Sc. Matem. Univ. di Trieste. N. 140 (1987)
A.BELLEN, M.ZENNARO, R.VERMIGLIO. Parallel ODE-solvers with step size control. In preparation.
C.W.GEAR. The potential of parallelism in ordinary differential equations. Department of Computer Sciences U.I.U.C. Rep. # R-86-1246.
C.W.GEAR. Parallel methods for ordinary differential equations. (1987) Preprint.
C.W.GEAR. Massive parallelism across the method in ODEs. Department of Computer Sciences U.I.U.C. Rep # R-88-1442.
P.J.van der HOUWEN, B.P.SOMMEIJER. Variable step iteration of high-order Runge-Kutta methods on Parallel Computers. C.W.I. Amsterdam. Preprint.
P.J.van der HOUWEN, B.P.SOMMEIJER, P.A.van MOURIK. Note on explicit parallel multistep Runge-Kutta methods. C.W.I. Amsterdam. Report NM-R8814.
K.K.JACKSON, S.P.NØRSETT. Parallel Runge-Kutta methods. (1986) A manuscript.
I.LIE. Some aspects of parallel Runge-Kutta methods. Department of Numerical Mathematics. University of Trondheim. 3/87.
O.NEVANLINNA. Remarks on Picard-Lindelöf iteration. Report-MAT-A254. Helsinki University of Technology. Dec. 1987.
U.SCHENDEL. Introduction to Numerical Methods for Parallel Computers. Series in Mathematics and its Applications (1984). John Wiley & Sons.
S.P.NØRSETT, H.H.SIMONSEN. Aspects of parallel Runge-Kutta methods. These Proceedings.
R.D.SKEEL, N.Y.KONG. Blended linear multistep methods. ACM Trans. Math. Software, Dec. 1977, 326–345.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Bellen, A. (1989). Parallelism across the steps for difference and differential equations. In: Bellen, A., Gear, C.W., Russo, E. (eds) Numerical Methods for Ordinary Differential Equations. Lecture Notes in Mathematics, vol 1386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089229
Download citation
DOI: https://doi.org/10.1007/BFb0089229
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51478-7
Online ISBN: 978-3-540-48144-7
eBook Packages: Springer Book Archive