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Multigrid Methods for Process Simulation (Paperback, Softcover reprint of the original 1st ed. 1993)
Loot Price: R1,430
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Multigrid Methods for Process Simulation (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Computational Microelectronics
Expected to ship within 18 - 22 working days
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It was about 1985 when both of the authors started their work using
multigrid methods for process simulation problems. This happened in
dependent from each other, with a completely different background
and different intentions in mind. At this time, some important
monographs appeared or have been in preparation. There are the
three "classical" ones, from our point of view: the so-called "1984
Guide" [12J by Brandt, the "Multi-Grid Methods and Applications"
[49J by Hackbusch and the so-called "Fundamentals" [132J by Stiiben
and Trottenberg. Stiiben and Trottenberg in [132J state a "delayed
acceptance, resent ments" with respect to multigrid algorithms.
They complain: "Nevertheless, even today's situation is still
unsatisfactory in several respects. If this is true for the
development of standard methods, it applies all the more to the
area of really difficult, complex applications." In spite of all
the above mentioned publications and without ignoring important
theoretical and practical improvements of multigrid, this situa
tion has not yet changed dramatically. This statement is made under
the condition that a numerical principle like multigrid is
"accepted", if there exist "professional" programs for research and
production purposes. "Professional" in this context stands for
"solving complex technical prob lems in an industrial environment
by a large community of users". Such a use demands not only for
fast solution methods but also requires a high robustness with
respect to the physical parameters of the problem.
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