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Volumn 15, Issue 6, 2002, Pages 775-780

A simple algebraic expression to evaluate the local linearization schemes for stochastic differential equations

Author keywords

Local linearization method; Numerical integration; Stochastic differential equations

Indexed keywords


EID: 31244434786     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-9659(02)00041-1     Document Type: Article
Times cited : (41)

References (11)
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    • Simulation of stochastic differential equations through the Local Linearization method. A comparative study
    • J.C. Jimenez, I. Shoji and T. Ozaki, Simulation of stochastic differential equations through the Local Linearization method. A comparative study, J. Statist. Physics 94, 587-602, (1999).
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    • Jimenez, J.C.1    Shoji, I.2    Ozaki, T.3
  • 3
    • 0002913686 scopus 로고
    • A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach
    • T. Ozaki, A bridge between nonlinear time series models and nonlinear stochastic dynamical systems: A local linearization approach, Statistica Sinica 2, 113-135, (1992).
    • (1992) Statistica Sinica , vol.2 , pp. 113-135
    • Ozaki, T.1
  • 4
    • 0032341232 scopus 로고    scopus 로고
    • Approximation of continuous time stochastic processes by a local linearization method
    • I. Shoji, Approximation of continuous time stochastic processes by a local linearization method, Math. Comput. 67, 287-298, (1998).
    • (1998) Math. Comput. , vol.67 , pp. 287-298
    • Shoji, I.1
  • 5
    • 0000338219 scopus 로고    scopus 로고
    • Local linearization method for the numerical solution of stochastic differential equations
    • R. Biscay, J.C. Jimenez, J. Riera and P. Valdes, Local linearization method for the numerical solution of stochastic differential equations, Annals Inst. Statis. Math. 48, 631-644, (1996).
    • (1996) Annals Inst. Statis. Math. , vol.48 , pp. 631-644
    • Biscay, R.1    Jimenez, J.C.2    Riera, J.3    Valdes, P.4
  • 6
    • 0017981685 scopus 로고
    • Computing integrals involving the matrix exponential
    • C.F. Van Loan, Computing integrals involving the matrix exponential, IEEE Trans. Autom. Control AC-23, 395-404, (1978).
    • (1978) IEEE Trans. Autom. Control , vol.AC-23 , pp. 395-404
    • Van Loan, C.F.1
  • 8
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations to the matrix exponential operator
    • M. Hochbruck and C. Lubich, On Krylov subspace approximations to the matrix exponential operator, SIAM Numer. Anal. 34, 1911-1925, (1997).
    • (1997) SIAM Numer. Anal. , vol.34 , pp. 1911-1925
    • Hochbruck, M.1    Lubich, C.2
  • 9
    • 0032010619 scopus 로고    scopus 로고
    • EXPOKIT: Software package for computing matrix exponentials
    • R.B. Sidje, EXPOKIT: Software package for computing matrix exponentials, AMC Trans. Math. Software 24 (130:156), (1998).
    • (1998) AMC Trans. Math. Software , vol.24 , Issue.130-156
    • Sidje, R.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.