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Notes on philosophy of the Monte Carlo method. (English) Zbl 1121.74490

Prikl. Mekh., Kiev 39, No. 7, 3-14 (2003) and Int. Appl. Mech. 39, No. 7, 753-762 (2003).
Summary: Some personal (and inevitability biased) thoughts pertinent to the Monte Carlo method are shared with the readers; in this mass production process of papers we are pausing and asking ourselves some nagging questions; various aspects of philosophy of the method are discussed. The role of it in stochastic mechanics is elucidated and some questions are posed in view of promoting a further constructive discussion.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
97D20 Philosophical and theoretical contributions (didactics of mathematics)
97C50 Language and verbal communities (aspects of mathematics education)
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