TY - CHAP A1 - Ehrig, Rainald A1 - Nowak, Ulrich A1 - Oeverdieck, Lars A1 - Deuflhard, Peter ED - H.-J. Bungartz, F. T1 - Advanced Extrapolation Methods for Large Scale Differential Algebraic Problems T2 - High Performance Scientific and Engineering Computing Y1 - 1999 VL - 8 SP - 233 EP - 244 PB - Springer Verlag ER - TY - CHAP A1 - Nowak, Ulrich A1 - Ehrig, Rainald A1 - Oeverdieck, Lars ED - Sloot, P. ED - Bubak, Marian ED - Hertzberger, B. T1 - Parallel Extrapolation Methods and Their Application in Chemical Engineering T2 - High-Performance Computing and Networking Y1 - 1998 VL - 1401 SP - 419 EP - 428 PB - Springer ER - TY - GEN A1 - Nowak, Ulrich A1 - Ehrig, Rainald A1 - Oeverdieck, Lars T1 - Parallel Extrapolation Methods and Their Application in Chemical Engineering N2 - 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. T3 - ZIB-Report - SC-97-69 Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-3387 ER -