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Title: Fifty years of Applications of Mathematics (English)
Author: Babuška, Ivo
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 51
Issue: 1
Year: 2006
Pages: 1-4
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Category: history
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MSC: 01A99
idZBL: Zbl 1235.01041
idMR: MR2197319
DOI: 10.1007/s10492-006-0001-2
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Date available: 2009-09-22T18:24:26Z
Last updated: 2020-07-02
Stable URL: http://hdl.handle.net/10338.dmlcz/134626
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Reference: [1] I.  Babuška: Courant element: Before and after.Finite Element Methods: Fifty Years of Courant Method. Lecture Notes in Pure and Applied Mathematics No.  164, M.  Křížek, P.  Neittaanmäki, and R.  Stenberg (eds.), Marcel Dekker, New York, 1994, pp. 37–51. MR 1299986
Reference: [2] I.  Babuška, J. T. Oden: Verification and validation in computational engineering and sciences. Part  I, Basic concepts.Comput. Methods Appl. Mech. Eng. 193 (2004), 4047–4066. MR 2083102, 10.1016/j.cma.2004.03.002
Reference: [3] I.  Babuška, J. T. Oden: The reliability of computer predictions: Can they be trusted.Int. J.  Numer. Anal. Model. 3 (2006), 255–273.
Reference: [4] M. D. Frank: The physical limits of computing.Computing in Science and Engineering 4 (2002), 16–26. 10.1109/5992.998637
Reference: [5] H. H.  Goldstine, J. von  Neumann: Numerical inverting of matrices of high order.Bull. Am. Math. Soc. 53 (1947), 1021–1099. MR 0024235, 10.1090/S0002-9904-1947-08909-6
Reference: [6] H. H.  Goldstine, J. von  Neumann: Guide for verification and validation of computational dynamics simulation.AIAA Report G-077-1998, American Institute of Aeronautics and Astronautics, 1998.
Reference: [7] I. Hlaváček, J. Chleboun, and I.  Babuška: Uncertain Input Data Problem and the Worst Scenario Method.Elsevier, Amsterdam, 2004. MR 2285091
Reference: [8] J.  Mackerle: MAKABASE.Private communication.
Reference: [9] W. L. Oberkampf, T. G.  Trucano: Verification and validation in computational fluid dynamics.Progress in Aerospace Sciences 38 (2002), 209–272.
Reference: [10] J. T.  Oden: .The promise of computational engineering and science: Will it be kept?, Expressions 12 (2002), 12–15. Zbl 1053.74049
Reference: [11] D. E.  Post: The coming crisis in computational science. Los Alamos National Laboratory Report LA-UR-0388.2004.
Reference: [12] P. J. Roache: Verification and Validation in Computational Science and Engineering.Hermosa Publishers, Albuquerque, 1998.
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