@article{(Open Science Index):https://publications.waset.org/pdf/4319, title = {Grid Computing for the Bi-CGSTAB Applied to the Solution of the Modified Helmholtz Equation}, author = {E. N. Mathioudakis and E. P. Papadopoulou}, country = {}, institution = {}, abstract = {The problem addressed herein is the efficient management of the Grid/Cluster intense computation involved, when the preconditioned Bi-CGSTAB Krylov method is employed for the iterative solution of the large and sparse linear system arising from the discretization of the Modified Helmholtz-Dirichlet problem by the Hermite Collocation method. Taking advantage of the Collocation ma-trix's red-black ordered structure we organize efficiently the whole computation and map it on a pipeline architecture with master-slave communication. Implementation, through MPI programming tools, is realized on a SUN V240 cluster, inter-connected through a 100Mbps and 1Gbps ethernet network,and its performance is presented by speedup measurements included. }, journal = {International Journal of Mathematical and Computational Sciences}, volume = {1}, number = {4}, year = {2007}, pages = {209 - 214}, ee = {https://publications.waset.org/pdf/4319}, url = {https://publications.waset.org/vol/4}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 4, 2007}, }