Grid computing for the Bi-CGSTAB applied to the solution of the modified helmholtz equationGrid computing for the Bi-CGSTAB applied to the solution of the modified helmholtz equation Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2015-10-292007enThe 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 matrix'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, interconnected through a 100Mbps and 1Gbps ethernet network, and its performance is presented by speedup measurements included.http://creativecommons.org/licenses/by/4.0/International Journal of Applied Mathematics and Computer Science34179-184 Mathioudakis Emmanouil Μαθιουδακης Εμμανουηλ Papadopoulou Eleni Παπαδοπουλου Ελενη Greek mathematics mathematics greek greek mathematics Computing