@inproceedings{ba20ab3da4354d7587b09f57de5a7731,

title = "On the parallel solution of parabolic equations",

abstract = "We propose new parallel algorithms for the solution of linear parabolic problems. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two other methods proposed are based on Pad{\'e} and Chebyshev approximations to the matrix exponential. The paralielization of these methods is achieved by using partial fraction decomposition techniques to solve the resulting systems and thus offers the potential for increased time parallelism in time dependent problems. We also present experimental results from the Alliant FX/8 and the Cray Y-MP/832 vector multiprocessors.",

author = "E. Gallopoulos and Y. Saad",

year = "1989",

month = jun,

day = "1",

doi = "10.1145/318789.318793",

language = "English (US)",

series = "Proceedings of the International Conference on Supercomputing",

publisher = "Association for Computing Machinery",

pages = "17--28",

booktitle = "Proceedings of the 3rd International Conference on Supercomputing, ICS 1989",

note = "3rd International Conference on Supercomputing, ICS 1989 ; Conference date: 05-06-1989 Through 09-06-1989",

}