@misc{NowakEhrigOeverdieck1997, author = {Nowak, Ulrich and Ehrig, Rainald and Oeverdieck, Lars}, title = {Parallel Extrapolation Methods and Their Application in Chemical Engineering}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-3387}, number = {SC-97-69}, year = {1997}, abstract = {We study the parallelization of linearly--implicit extrapolation methods for the solution of large scale systems of differential algebraic equations arising in a method of lines (MOL ) treatment of partial differential equations. In our approach we combine a slightly overlapping domain decomposi tion together with a polynomial block Neumann preconditioner. Through the explicit computation of the matrix products of the pre conditioner and the system matrix a significant gain in overall efficiency is achieved for medium--sized problems. The parallel algorithm exhibits a good scalability up to 32 proces sors on a Cray T3E. Preliminary results for computations on a workstation cluster are reported.}, language = {en} }