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Volumn , Issue , 2008, Pages 577-589

Optimal pointwise approximation of a linear stochastic heat equation with additive space-time white noise

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVES; HEAT TRANSFER; NON NEWTONIAN FLOW; PARTIAL DIFFERENTIAL EQUATIONS; STOCHASTIC SYSTEMS; WHITE NOISE;

EID: 56549110155     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-74496-2_34     Document Type: Conference Paper
Times cited : (29)

References (9)
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  • 2
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    • Du, Q.1    Zhang, T.Q.2
  • 3
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    • Time-discretised galerkin approximations of parabolic stochastic pdes
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    • (1996) Bull. Austr. Math. Soc , vol.54 , pp. 79-85
    • Grecksch, W.1    Kloeden, P.E.2
  • 4
    • 0042732714 scopus 로고    scopus 로고
    • Implicit scheme for stochastic parabolic partial differential equations driven by space-Time white noise
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    • [GN97] I. Gyöngy and D. Nualart. Implicit scheme for stochastic parabolic partial differential equations driven by space-Time white noise, Potential Analysis 7, 725-757 (1997)
    • (1997) Potential Analysis , vol.7 , pp. 725-757
    • Gyöngy, I.1    Nualart, D.2
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    • [H03] E. Hausenblas. Approximation for semilinear stochastic evolution equations, Potential Analysis 18, 141-186 (2003)
    • (2003) Potential Analysis , vol.18 , pp. 141-186
    • Hausenblas, E.1
  • 6
    • 0007470214 scopus 로고    scopus 로고
    • Exact convergence rate of the euler-maruyama scheme, with application to sampling design
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    • [HC96] Y. Hu and S. Cambanis. Exact convergence rate of the Euler-Maruyama scheme, with application to sampling design, Stochastics Stochastics Rep. 59, 211-240 (1996)
    • (1996) Stochastics Stochastics Rep , vol.59 , pp. 211-240
    • Hu, Y.1    Cambanis, S.2
  • 7
    • 34250182382 scopus 로고    scopus 로고
    • Lower bounds and nonuniform time discretization for approximation of stochastic heat equations
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    • [MGR07a] T. Müller-Gronbach and K. Ritter. Lower bounds and nonuniform time discretization for approximation of stochastic heat equations. Found. Comput. Math. 7, 135-181 (2007)
    • (2007) Found. Comput. Math , vol.7 , pp. 135-181
    • Müller-Gronbach, T.1    Ritter, K.2
  • 8
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    • An implicit euler scheme with non-uniform time discretization for heat equations with multiplicative noise
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    • [MGR07b] T. Müller-Gronbach and K. Ritter. An implicit Euler scheme with non-uniform time discretization for heat equations with multiplicative noise. BIT 47, 393-418 (2007)
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    • Müller-Gronbach, T.1    Ritter, K.2
  • 9
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    • Numerical methods for stochastic parabolic pdes
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    • [S99] T. Shardlow. Numerical methods for stochastic parabolic PDEs, Numer. Funct. Anal. Optim. 20, 121-145 (1999)
    • (1999) Numer. Funct. Anal. Optim , vol.20 , pp. 121-145
    • Shardlow, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.