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Volumn 12, Issue 1, 2002, Pages 334-360

Probabilistic characteristics method for a one-dimensional inviscid scalar conservation law

Author keywords

Method of characteristics; Propagation of chaos; Reflected diffusion processes; Scalar conservation law; Stochastic particle systems

Indexed keywords


EID: 0036104559     PISSN: 10505164     EISSN: None     Source Type: Journal    
DOI: 10.1214/aoap/1015961167     Document Type: Article
Times cited : (11)

References (11)
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    • Comparison of a stochastic panicle method and a finite volume deterministic method applied to Burgers equation
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    • Bossy, M.1    Fezoui, L.2    Piperno, S.3
  • 3
    • 0030489571 scopus 로고    scopus 로고
    • Convergence rate for the approximation of the limit law of weakly interacting particles: Application to the Burgers equation
    • BOSSY, M. and TALAY, D. (1996). Convergence rate for the approximation of the limit law of weakly interacting particles: application to the Burgers equation. Ann. Appl. Probab. 6 818-861.
    • (1996) Ann. Appl. Probab. , vol.6 , pp. 818-861
    • Bossy, M.1    Talay, D.2
  • 4
    • 0031539944 scopus 로고    scopus 로고
    • A stochastic particle method for the Mckean-VIasov and the Burgers equation
    • BOSSY, M. and TALAY, D. (1997). A stochastic particle method for the Mckean-VIasov and the Burgers equation. Math. Comp. 66 157-192.
    • (1997) Math. Comp. , vol.66 , pp. 157-192
    • Bossy, M.1    Talay, D.2
  • 5
    • 0042534827 scopus 로고    scopus 로고
    • Propagation trajectorielle du chaos pour les lois de conservation scalaires
    • Springer, New York
    • JOURDAIN, B. (1998). Propagation trajectorielle du chaos pour les lois de conservation scalaires. Séminaire de Probabilités 32 215-230. Springer, New York.
    • (1998) Séminaire de Probabilités , vol.32 , pp. 215-230
    • Jourdain, B.1
  • 6
    • 0003352140 scopus 로고    scopus 로고
    • Diffusion processes associated with nonlinear evolution equations for signed measures
    • JOURDAIN, B. (2000). Diffusion processes associated with nonlinear evolution equations for signed measures. Methodol. Comput. Appl. Probab. 2 69-91.
    • (2000) Methodol. Comput. Appl. Probab. , vol.2 , pp. 69-91
    • Jourdain, B.1
  • 7
    • 0043028018 scopus 로고    scopus 로고
    • Probabilistic approximation for a porous medium equation
    • JOURDAIN, B. (2000). Probabilistic approximation for a porous medium equation. Stochastic Process. Appl. 89 81-99.
    • (2000) Stochastic Process. Appl. , vol.89 , pp. 81-99
    • Jourdain, B.1
  • 8
    • 84988145984 scopus 로고
    • A solution formula for a non-convex scalar hyperbolic conservation law with monotone initial data
    • KUNIK, M. (1993). A solution formula for a non-convex scalar hyperbolic conservation law with monotone initial data. Math. Methods Appl. Sci. 16 895-902.
    • (1993) Math. Methods Appl. Sci. , vol.16 , pp. 895-902
    • Kunik, M.1
  • 9
    • 0001910944 scopus 로고
    • On some large systems of random particles which approximate scalar conservation laws
    • PERTHAME, B. and PULVIRENTI, M. (1995). On some large systems of random particles which approximate scalar conservation laws. Asymptotic Anal. 10 263-278.
    • (1995) Asymptotic Anal. , vol.10 , pp. 263-278
    • Perthame, B.1    Pulvirenti, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.