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Book Review
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Book Information
Author(s):
P. Wesseling
Title:
An introduction to multigrid methods
Additional book information:
Wiley, New York, 1992, vii+284 pp., US$89.95. ISBN 0-471-93083-0
References:
- [1]
- N. S. Bakhvalov, On the convergence of a relaxation method with natural constraints on the elliptic operator, U.S.S.R. Comput. Math. and Math. Phys. \textbf{6} (1966), 101--135.
- [2]
- A. Brandt, Multi-level adaptive techniques \RM (MLAT\RM ) for fast numerical solution to boundary value problems, Proc. 3rd Internat. Conf. on Numer. Method in Fluid Mechanics (H. Cabannes and R. Temain, eds.), vol. 1, Springer, Berlin, 1972, pp. 82--89.
- [3]
- A. Brandt, Multi-level adaptive solutions to boundary value problems, Math. Comp. \textbf{31} (1977), 333--390.
- [4]
- A. Brandt, \emph{Multigrid techniques\RM : {\rm {1984}} guide, with applications to fluid dynamics}, Gesellsch. Math. Datenverarbeitung Bonn, St. Augustin, Germany, 1984.
- [5]
- W. Briggs, A multigrid tutorial, SIAM, Philadelphia, PA, 1987.
- [6]
- R. P. Fedorenko, The speed of convergence of one iterative process, U.S.S.R. Comput. Math. and Math. Phys. \textbf{4} (1964), 227--235.
- [7]
- W. Hackbusch, Multi-grid methods and applications, Springer, Berlin, 1985.
- [8]
- W. Hackbusch and U. Trottenberg, eds., \emph{Multigrid methods}, Springer, Berlin, 1982.
- [9]
- W. Hackbusch and U. Trottenberg, eds., Multigrid methods. {\rm III}, Proc. 3rd Euro. Conf. on Multigrid Methods, Bonn, Germany, Berkhauser-Verlag Internat. Ser. Numer. Math., vol. 98, Birkh\"auser-Verlag, Basel, 1991, pp. 1--394.
- [10]
- J. Mandel et al., eds., Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, SIAM Proc. in Appl. Math. Ser. \textbf{41} (1989), 1--438.
- [11]
- J. Mandel et al., eds., Preliminary proceedings of the Fifth Copper Mountain Conference on Multigrid Methods, University of Colorado at Denver, 1991.
- [12]
- S. McCormick, ed., \emph{Multigrid methods}, SIAM, Philadelphia, PA, 1987.
- [13]
- S. McCormick, ed., \emph{Multilevel adaptive methods for partial differential equations}, SIAM, Philadelphia, PA, 1989.
- [14]
- S. McCormick, ed., \emph{Multilevel projection methods for partial differential equations}, SIAM, Philadelphia, PA, 1992.
- [15]
- R. V. Southwell, Stress-calculation in frameworks by the method of \,\RM {``}Systematic relaxation of constraints\RM {''}, parts I, II, Proc. Roy. Soc. Edinburgh Sect. A \textbf{151} (1935), 57--91; part III, Proc. Roy. Soc. Edinburgh Sect. A {\bf 153} (1935), 41--76.
Additional Information:
Reviewer(s):
Steve
McCormick
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
373-375.
DOI:
10.1090/S0273-0979-1993-00367-7
PII:
S 0273-0979(1993)00367-7
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