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libcats.org
An Introduction to Multigrid Methods (Pure and Applied Mathematics (Wiley))Pieter WesselingThis is a corrected version of one of the real classics in the multigrid field. Its first publisher allowed the price to skyrocket to the point that it still stands today as the most expensive multigrid book I own. The reprint is over $100 USD less than what I paid for my copy.
The book is completely self contained. It has one of nicest descriptions of finite volume methods in it that I know of. It covers all of the basic multigrid concepts in detail, both algorithmically and theoretically. It covers a lot more than basics as well. While it was between regular publishers the author gratiously allowed a scanned copy to be downloaded from the multigrid community web site http://www.mgnet.org. It was one of the most downloaded items while it was there. (As an aside, it is no longer available on the web.) While not the most recent multigrid book, it still is one of the best. The price, considering it is a hardback, is also very competitive. I highly recommend this book, particularly for students who have not studied in depth numerical methods for solving partial differential equation.
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