swMATH ID: 1571
Software Authors: Amodio, Pierluigi; Brugnano, Luigi
Description: ParalleloGAM: A parallel code for ODEs. The method uses the “parallelism across the steps”. It extends a previous paper of the authors [J. Comput. Appl. Math. 78, No. 2, 197-211 (1997; Zbl 0868.65039)] to nonlinear problems and is closely related to a companion paper of L. Brugnano and D. Trigiante [Appl. Numer. Math. 28, No. 1-4, 127-141 (1998; reviewed below)] for the theory. In a first coarse step the grid is determined (only 3 processors active). Then the linear system resulting from the Newton iteration is factored (block diagonal) and solved on p processors. Analysis of operations and numerical tests compared to a sequential Radau code. The parallel version wins only for higher accuracy (many steps).
Homepage: http://www.sciencedirect.com/science/article/pii/S0168927498000385
Keywords: numerical examples; parallel computation; parallelism across the steps; block boundary value methods; nonlinear; Newton iteration
Related Software: FracPECE; RADAR5; BABDCR; RODAS; PVM; MATLAB ODE suite; ode23s; ode113; Ode15s; ode45; ode23; Matlab; COLNEW
Cited in: 9 Publications

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
ParalleloGAM: A parallel code for ODEs. Zbl 0927.65088
Amodio, Pierluigi; Brugnano, Luigi

Citations by Year