Book Review
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MathSciNet review:
1568034
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Book Information:
Author:
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.
[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. 6 (1966), 101-135.
[2] A. Brandt, Multi-level adaptive techniques (MLAT) 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.
Achi Brandt, Multi-level adaptive solutions to boundary-value problems, Math. Comp. 31 (1977), no. 138, 333–390. MR 431719, DOI 10.1090/S0025-5718-1977-0431719-X
[4] -, Multigrid techniques: 1984 guide, with applications to fluid dynamics, GMD-Stud., vol. 85, Gesellsch. Math. Datenverarbeitung Bonn, St. Augustin, Germany, 1984.
William L. Briggs, A multigrid tutorial, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1987. MR 960880
R. P. Fedorenko, On the speed of convergence of an iteration process, Ž. Vyčisl. Mat i Mat. Fiz. 4 (1964), 559–564 (Russian). MR 182163
[7] W. Hackbusch, Multi-grid methods and applications, Springer, Berlin, 1985.
Wolfgang Hackbusch and Ulrich Trottenberg (eds.), Multigrid methods, Lecture Notes in Mathematics, vol. 960, Springer-Verlag, Berlin-New York, 1982. MR 685772
W. Hackbusch and U. Trottenberg (eds.), Multigrid methods. III, International Series of Numerical Mathematics, vol. 98, Birkhäuser Verlag, Basel, 1991. MR 1131544, DOI 10.1007/978-3-0348-5712-3
Jan Mandel, Stephen F. McCormick, J. E. Dendy Jr., Charbel Farhat, Guy Lonsdale, Seymour V. Parter, John W. Ruge, and Klaus Stüben (eds.), Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1989. Held in Copper Mountain, Colorado, April 9–14, 1989. MR 1065624
[11] -, Preliminary proceedings of the Fifth Copper Mountain Conference on Multigrid Methods, University of Colorado at Denver, 1991.
Stephen F. McCormick (ed.), Multigrid methods, Frontiers in Applied Mathematics, vol. 3, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1987. MR 972752, DOI 10.1137/1.9781611971057
Stephen F. McCormick, Multilevel adaptive methods for partial differential equations, Frontiers in Applied Mathematics, vol. 6, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1989. MR 1056696, DOI 10.1137/1.9781611971026
Stephen F. McCormick, Multilevel projection methods for partial differential equations, CBMS-NSF Regional Conference Series in Applied Mathematics, vol. 62, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992. MR 1146209, DOI 10.1137/1.9781611970098
[15] R. V. Southwell, Stress-calculation in frameworks by the method of "Systematic relaxation of constraints", parts I, II, Proc. Roy. Soc. Edinburgh Sect. A 151 (1935), 57-91; part III, Proc. Roy. Soc. Edinburgh Sect. A 153 (1935), 41-76.
- [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. 6 (1966), 101-135.
- [2]
- A. Brandt, Multi-level adaptive techniques (MLAT) 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]
- -, Multi-level adaptive solutions to boundary value problems, Math. Comp. 31 (1977), 333-390. MR 0431719 (55:4714)
- [4]
- -, Multigrid techniques: 1984 guide, with applications to fluid dynamics, GMD-Stud., vol. 85, Gesellsch. Math. Datenverarbeitung Bonn, St. Augustin, Germany, 1984.
- [5]
- W. Briggs, A multigrid tutorial, SIAM, Philadelphia, PA, 1987. MR 960880 (89j:65001)
- [6]
- R. P. Fedorenko, The speed of convergence of one iterative process, U.S.S.R. Comput. Math. and Math. Phys. 4 (1964), 227-235. MR 0182163 (31:6386)
- [7]
- W. Hackbusch, Multi-grid methods and applications, Springer, Berlin, 1985.
- [8]
- W. Hackbusch and U. Trottenberg, eds., Multigrid methods, Lecture Notes in Math., vol. 960, Springer, Berlin, 1982. MR 685772 (84b:65007)
- [9]
- -, Multigrid methods. III, Proc. 3rd Euro. Conf. on Multigrid Methods, Bonn, Germany, Berkhauser-Verlag Internat. Ser. Numer. Math., vol. 98, Birkhäuser-Verlag, Basel, 1991, pp. 1-394. MR 1131544 (92d:65008)
- [10]
- J. Mandel et al., eds., Proceedings of the Fourth Copper Mountain Conference on Multigrid Methods, SIAM Proc. in Appl. Math. Ser. 41 (1989), 1-438. MR 1065624 (91e:65008)
- [11]
- -, Preliminary proceedings of the Fifth Copper Mountain Conference on Multigrid Methods, University of Colorado at Denver, 1991.
- [12]
- S. McCormick, ed., Multigrid methods, Frontiers Appl. Math., vol. 3, SIAM, Philadelphia, PA, 1987. MR 972752 (89m:65004)
- [13]
- -, Multilevel adaptive methods for partial differential equations, Frontiers Appl. Math., vol. 6, SIAM, Philadelphia, PA, 1989. MR 1056696 (91h:65206)
- [14]
- -, Multilevel projection methods for partial differential equations, CBMS-NSF Regional Conf. Ser. in Appl. Math., vol. 62, SIAM, Philadelphia, PA, 1992. MR 1146209 (93b:65137)
- [15]
- R. V. Southwell, Stress-calculation in frameworks by the method of "Systematic relaxation of constraints", parts I, II, Proc. Roy. Soc. Edinburgh Sect. A 151 (1935), 57-91; part III, Proc. Roy. Soc. Edinburgh Sect. A 153 (1935), 41-76.
Review Information:
Reviewer:
Steve McCormick
Journal:
Bull. Amer. Math. Soc.
28 (1993), 373-375
DOI:
https://doi.org/10.1090/S0273-0979-1993-00367-7
