ParalleloGAM 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 0927.65088Amodio, Pierluigi; Brugnano, Luigi 1998 all top 5 Cited by 8 Authors 6 Brugnano, Luigi 4 Amodio, Pierluigi 2 Mazzia, Francesca 2 Trigiante, Donato 1 Iavernaro, Felice 1 Kumar, Surendra Shashi 1 Pal Singh, Harendra 1 Sharma, Abhishek K. Cited in 4 Serials 4 Applied Numerical Mathematics 3 Journal of Computational and Applied Mathematics 1 Chaos, Solitons and Fractals 1 SIAM Journal on Scientific Computing Cited in 2 Fields 9 Numerical analysis (65-XX) 8 Ordinary differential equations (34-XX) Citations by Year