Title :
Parallel Methods for the Numerical Solution of Ordinary Differential Equations
Author :
Worland, Peter B.
Author_Institution :
Gustavus Adolphus College
Abstract :
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.
Keywords :
Block methods, one-step methods, ordinary differential equations, parallel algorithms, predictor-correctors.; Design methodology; Differential equations; Gaussian approximation; Jacobian matrices; Parallel algorithms; Parallel machines; Prediction algorithms; Process design; Block methods, one-step methods, ordinary differential equations, parallel algorithms, predictor-correctors.;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1976.1674545
