메뉴 건너뛰기




Volumn 234, Issue 5, 2010, Pages 1426-1434

The role of coefficients of a general SPDE on the stability and convergence of a finite difference method

Author keywords

Consistency; Mean square stability; Stability; Stochastic Lax Richtmyer; Stochastic partial differential equations

Indexed keywords

APPROXIMATE SOLUTION; CONSISTENCY; MEAN SQUARE STABILITY; NUMERICAL EXPERIMENTS; RANDOM NOISE; STABILITY AND CONVERGENCE; STOCHASTIC PARTIAL DIFFERENTIAL EQUATION;

EID: 77950864660     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2010.02.018     Document Type: Article
Times cited : (31)

References (20)
  • 2
    • 0001939954 scopus 로고
    • Stochastic partial differential equations in continuum physics on the foundations of the stochastic interpolation methods for Ito type equations
    • Bellomo N., and Flandoli F. Stochastic partial differential equations in continuum physics on the foundations of the stochastic interpolation methods for Ito type equations. Math. Comput. Simulation 31 (1989) 3-17
    • (1989) Math. Comput. Simulation , vol.31 , pp. 3-17
    • Bellomo, N.1    Flandoli, F.2
  • 3
    • 84986841624 scopus 로고
    • A multifactor Gauss Markov implementation of heath, Jarrow and Morton
    • Brace A., and Musiela M. A multifactor Gauss Markov implementation of heath, Jarrow and Morton. Math. Finance 4 (1994) 259-283
    • (1994) Math. Finance , vol.4 , pp. 259-283
    • Brace, A.1    Musiela, M.2
  • 4
    • 0031489544 scopus 로고    scopus 로고
    • The market model of interest rate dynamics
    • Brace A., Gatarak D., and Musiela M. The market model of interest rate dynamics. Math. Finance 7 2 (1997) 127-147
    • (1997) Math. Finance , vol.7 , Issue.2 , pp. 127-147
    • Brace, A.1    Gatarak, D.2    Musiela, M.3
  • 9
    • 49649130338 scopus 로고
    • Stochastic evolution equations
    • Dawson D.A. Stochastic evolution equations. Math. Biosci. 154 (1972) 187-316
    • (1972) Math. Biosci. , vol.154 , pp. 187-316
    • Dawson, D.A.1
  • 11
    • 0037606706 scopus 로고    scopus 로고
    • Finite element and difference approximation of some linear stochastic partial differential equations
    • Allen E., Novosel S., and Zhang Z. Finite element and difference approximation of some linear stochastic partial differential equations. Stoch. Rep. 64 (1998) 117-142
    • (1998) Stoch. Rep. , vol.64 , pp. 117-142
    • Allen, E.1    Novosel, S.2    Zhang, Z.3
  • 12
    • 21244455730 scopus 로고    scopus 로고
    • Finite element methods for parabolic stochastic PDE's
    • Walsh J.B. Finite element methods for parabolic stochastic PDE's. Potential Anal. 23 (2005) 1-43
    • (2005) Potential Anal. , vol.23 , pp. 1-43
    • Walsh, J.B.1
  • 13
    • 0035605884 scopus 로고    scopus 로고
    • Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations
    • A.M. Davie, J.G. Gaines, Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations, Math. Comp., 70 121-134.
    • Math. Comp , vol.70 , pp. 121-134
    • Davie, A.M.1    Gaines, J.G.2
  • 14
    • 0040985592 scopus 로고
    • Numerical experiments with S(P)DE's
    • Stochastic Partial Differential Equations (Cambridge). Etheridge A.M. (Ed), Cambridge University Press
    • Gaines J.G. Numerical experiments with S(P)DE's. In: Etheridge A.M. (Ed). Stochastic Partial Differential Equations (Cambridge). London Mathematical Society Lecture Note Series vol. 216 (1995), Cambridge University Press 5571
    • (1995) London Mathematical Society Lecture Note Series , vol.216 , pp. 5571
    • Gaines, J.G.1
  • 15
    • 0042078403 scopus 로고    scopus 로고
    • Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise II
    • Gyongy. Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise II. Potential Anal. 11 (1999)
    • (1999) Potential Anal. , vol.11
    • Gyongy1
  • 16
    • 0034395433 scopus 로고    scopus 로고
    • Semi-discretization of stochastic partial differential equations on R by a finite difference method
    • Yoo H. Semi-discretization of stochastic partial differential equations on R by a finite difference method. Math. Comp. 69 (1999) 653-666
    • (1999) Math. Comp. , vol.69 , pp. 653-666
    • Yoo, H.1
  • 17
    • 33748488073 scopus 로고    scopus 로고
    • Difference methods for stochastic partial differential equations
    • Roth Ch. Difference methods for stochastic partial differential equations. ZAMM. Z. Angew. Math. Mech. 82 11-12 (2002) 821-830
    • (2002) ZAMM. Z. Angew. Math. Mech. , vol.82 , Issue.11-12 , pp. 821-830
    • Roth, Ch.1
  • 18
    • 30444440733 scopus 로고    scopus 로고
    • A combination of finite difference and Wong-Zakai methods for hyperbolic stochastic partial differential equations
    • Roth Ch. A combination of finite difference and Wong-Zakai methods for hyperbolic stochastic partial differential equations. Stoch. Anal. Appl. 24 (2006) 221240
    • (2006) Stoch. Anal. Appl. , vol.24 , pp. 221240
    • Roth, Ch.1
  • 19
    • 34249823058 scopus 로고    scopus 로고
    • A new adaptive Runge-Kutta method for stochastic differential equations
    • Foroush Bastani A., and Mohammad Hosseini S. A new adaptive Runge-Kutta method for stochastic differential equations. J. Comput. Appl. Math. 206 (2007) 631-644
    • (2007) J. Comput. Appl. Math. , vol.206 , pp. 631-644
    • Foroush Bastani, A.1    Mohammad Hosseini, S.2
  • 20
    • 58149350426 scopus 로고    scopus 로고
    • On mean-square stability properties of a new adaptive stochastic Runge-Kutta method
    • Foroush Bastani A., and Mohammad Hosseini S. On mean-square stability properties of a new adaptive stochastic Runge-Kutta method. J. Comput. Appl. Math. 224 (2009) 556-564
    • (2009) J. Comput. Appl. Math. , vol.224 , pp. 556-564
    • Foroush Bastani, A.1    Mohammad Hosseini, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.