메뉴 건너뛰기




Volumn 66, Issue 218, 1997, Pages 573-589

On quasi-Monte Carlo simulation of stochastic differential equations

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039500755     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0025-5718-97-00820-x     Document Type: Article
Times cited : (18)

References (21)
  • 1
    • 0039195404 scopus 로고
    • Pseudo-random numbers for modeling Markov chains
    • N. N. Chentsov. Pseudo-random numbers for modeling Markov chains. Zh. Vychisl. Mat. i Mat. Fiz., 7:632-643, 1967.
    • (1967) Zh. Vychisl. Mat. i Mat. Fiz. , vol.7 , pp. 632-643
    • Chentsov, N.N.1
  • 2
    • 0038144725 scopus 로고    scopus 로고
    • Deterministic simulation of random processes
    • J. N. Franklin. Deterministic simulation of random processes. Math. of Computation, 17:28 -59, 1968. MR 26:7125
    • (1968) Math. of Computation , vol.17 , pp. 28-59
    • Franklin, J.N.1
  • 3
    • 0038144725 scopus 로고    scopus 로고
    • J. N. Franklin. Deterministic simulation of random processes. Math. of Computation, 17:28 -59, 1968. MR 26:7125
    • MR , vol.26 , pp. 7125
  • 4
    • 0039787760 scopus 로고
    • Lösung von integralgleichungen mittels zahlentheoretischer methoden
    • E. Hlawka. Lösung von Integralgleichungen mittels zahlentheoretischer Methoden. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II, 171:103-123, 1962. MR 27:548
    • (1962) Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II , vol.171 , pp. 103-123
    • Hlawka, E.1
  • 5
    • 0040974258 scopus 로고    scopus 로고
    • E. Hlawka. Lösung von Integralgleichungen mittels zahlentheoretischer Methoden. Österreich. Akad. Wiss. Math.-Natur. Kl. Sitzungsber. II, 171:103-123, 1962. MR 27:548
    • MR , vol.27 , pp. 548
  • 7
    • 0003294848 scopus 로고
    • Brownian motion and stochastic calculus
    • Springer, New York, Berlin, Heidelberg
    • I. Karatzas and S. E. Shreve. Brownian Motion and Stochastic Calculus, volume 113 of Graduate Texts in Math., Springer, New York, Berlin, Heidelberg, 1988. MR 89c:60096
    • (1988) Graduate Texts in Math. , vol.113
    • Karatzas, I.1    Shreve, S.E.2
  • 8
    • 0039787771 scopus 로고    scopus 로고
    • I. Karatzas and S. E. Shreve. Brownian Motion and Stochastic Calculus, volume 113 of Graduate Texts in Math., Springer, New York, Berlin, Heidelberg, 1988. MR 89c:60096
    • MR , vol.89 C , pp. 60096
  • 9
    • 0003335723 scopus 로고
    • Numerical solution of stochastic differential equations
    • Springer, Berlin, Heidelberg, New York
    • P. E. Kloeden and E. Platen. Numerical Solution of Stochastic Differential Equations, volume 23 of Applications of Math., Springer, Berlin, Heidelberg, New York, 1992. MR 94b:60069
    • (1992) Applications of Math. , vol.23
    • Kloeden, P.E.1    Platen, E.2
  • 10
    • 0039787770 scopus 로고    scopus 로고
    • P. E. Kloeden and E. Platen. Numerical Solution of Stochastic Differential Equations, volume 23 of Applications of Math., Springer, Berlin, Heidelberg, New York, 1992. MR 94b:60069
    • MR , vol.94 B , pp. 60069
  • 12
    • 0041147768 scopus 로고    scopus 로고
    • D. E. Knuth. The Art of Computer Programming, Vol. 2/ Seminumerical Algorithms. Addison-Wesley Publ. Co., Reading, Mass., 1969. MR 44:3531
    • MR , vol.44 , pp. 3531
  • 14
    • 0040891533 scopus 로고    scopus 로고
    • L. Kuipers and H. Niederreiter. Uniform Distribution of Sequences. Wiley & Sons, New York, London, Sydney, Toronto, 1974. MR 54:7415
    • MR , vol.54 , pp. 7415
  • 16
    • 0040974257 scopus 로고
    • Numerical integration of stochastic differential equations
    • Kluwer Acad. Publ., Dordrecht, Boston, London
    • G. N. Milstein. Numerical Integration of Stochastic Differential Equations, volume 313 of Mathematics and its Appl., Kluwer Acad. Publ., Dordrecht, Boston, London, 1995. MR 96e:65003
    • (1995) Mathematics and Its Appl. , vol.313
    • Milstein, G.N.1
  • 17
    • 0039964300 scopus 로고    scopus 로고
    • G. N. Milstein. Numerical Integration of Stochastic Differential Equations, volume 313 of Mathematics and its Appl., Kluwer Acad. Publ., Dordrecht, Boston, London, 1995. MR 96e:65003
    • MR , vol.96 E , pp. 65003
  • 18
    • 0000997571 scopus 로고
    • Quasi-Monte Carlo methods and pseudo-random numbers
    • H. Niederreiter. Quasi-Monte Carlo methods and pseudo-random numbers. Bull. Amer. Math. Soc., 84(6):957-1041, 1978. MR 80d:65016
    • (1978) Bull. Amer. Math. Soc. , vol.84 , Issue.6 , pp. 957-1041
    • Niederreiter, H.1
  • 19
    • 0040380008 scopus 로고    scopus 로고
    • H. Niederreiter. Quasi-Monte Carlo methods and pseudo-random numbers. Bull. Amer. Math. Soc., 84(6):957-1041, 1978. MR 80d:65016
    • MR , vol.80 D , pp. 65016
  • 20
    • 0003244922 scopus 로고
    • Random number generation and quasi-Monte Carlo methods
    • SIAM, Philadelphia
    • H. Niederreiter. Random Number Generation and Quasi-Monte Carlo Methods, volume 63 of CBMS-NSF Region. Conf. Series in Appl. Math. SIAM, Philadelphia, 1992. MR 93h:65008
    • (1992) CBMS-NSF Region. Conf. Series in Appl. Math. , vol.63
    • Niederreiter, H.1
  • 21
    • 0039195400 scopus 로고    scopus 로고
    • H. Niederreiter. Random Number Generation and Quasi-Monte Carlo Methods, volume 63 of CBMS-NSF Region. Conf. Series in Appl. Math. SIAM, Philadelphia, 1992. MR 93h:65008
    • MR , vol.93 H , pp. 65008


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.