Parallel Methods for the Numerical Solution of Ordinary Differential Equations

P.B. Worland

doi:10.1109/TC.1976.1674545

Publication
1976
Issue No. 10 - October
Abstract - Parallel Methods for the Numerical Solution of Ordinary Differential Equations

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Parallel Methods for the Numerical Solution of Ordinary Differential Equations

October 1976 (vol. 25 no. 10)

pp. 1045-1048

	ASCII Text	x
	P.B. Worland, "Parallel Methods for the Numerical Solution of Ordinary Differential Equations," IEEE Transactions on Computers, vol. 25, no. 10, pp. 1045-1048, October, 1976.

	BibTex	x
	@article{ 10.1109/TC.1976.1674545, author = {P.B. Worland}, title = {Parallel Methods for the Numerical Solution of Ordinary Differential Equations}, journal ={IEEE Transactions on Computers}, volume = {25}, number = {10}, issn = {0018-9340}, year = {1976}, pages = {1045-1048}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1976.1674545}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - JOUR JO - IEEE Transactions on Computers TI - Parallel Methods for the Numerical Solution of Ordinary Differential Equations IS - 10 SN - 0018-9340 SP1045 EP1048 EPD - 1045-1048 A1 - P.B. Worland, PY - 1976 KW - Block methods KW - one-step methods KW - ordinary differential equations KW - parallel algorithms KW - predictor-correctors. VL - 25 JA - IEEE Transactions on Computers ER -

P.B. Worland, Gustavus Adolphus College

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/TC.1976.1674545

This correspondence studies various classes of methods, collectively known as block implicit methods, for the purpose of solving initial value problems in ordinary differential equations (ODE's) on a parallel processor. Modifications of the sequential procedures are discussed which allow these procedures to be used in a parallel mode. Both one-step and predictor-corrector type algorithms are examined.

Index Terms:

Block methods, one-step methods, ordinary differential equations, parallel algorithms, predictor-correctors.

Citation:

P.B. Worland, "Parallel Methods for the Numerical Solution of Ordinary Differential Equations," IEEE Transactions on Computers, vol. 25, no. 10, pp. 1045-1048, Oct. 1976, doi:10.1109/TC.1976.1674545

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