Geodesic
Using the Strang–Fix approximation for Monte Carlo calculating of multiple integrals
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 2, pp. 111-122 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the possibility of using the Strang–Fix approximation for constructing of optimal density in the standard Monte Carlo method for calculating multiple integrals is investigated. Optimal parameters of the constructed density are obtained. The comparison between the constructed important sampling method and the separation of main part method is provided. The combined method, which contains advantages of both algorithms, is suggested. 
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     author = {A. V. Voitishek},
     title = {Using the {Strang{\textendash}Fix} approximation for {Monte} {Carlo} calculating of multiple integrals},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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A. V. Voitishek. Using the Strang–Fix approximation for Monte Carlo calculating of multiple integrals. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 2 (1999) no. 2, pp. 111-122. http://geodesic.mathdoc.fr/item/SJVM_1999_2_2_a1/

[1] Ermakov S. M., Mikhailov G. A., Statisticheskoe modelirovanie, Nauka, M., 1982 | MR

[2] Streng G., Fiks Dzh., Teoriya metoda konechnykh elementov, Mir, M., 1977 | MR

[3] Marchuk G. I., Agoshkov V. I., Vvedenie v proektsionno-setochnye metody, Nauka, M., 1981 | MR

[4] Voitishek A. V., “O dopustimom klasse vospolnenii dlya diskretno-stokhasticheskikh protsedur globalnoi otsenki funktsii”, Sib. zhurn. vychisl. matematiki / RAN. Sib. otd-nie. — Novosibirsk, 1:2 (1998), 119–134 | MR

[5] Makhotkin O. A., “Kvantilnyi metod modelirovaniya diskretnykh sluchainykh velichin”, Teoriya i prilozheniya statisticheskogo modelirovaniya, AN SSSR. Sib. otd.-nie. VTs, Novosibirsk, 1989, 33–42 | MR | Zbl

[6] Devroi L., Derfi L., Neparamericheskoe otsenivanie plotnosti $(L_1)$, Mir, M., 1988 | MR

[7] Sobol I. M., Chislennye metody Monte-Karlo, Nauka, M., 1973 | MR