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Volumn 18, Issue 2, 2003, Pages 141-186

Approximation for Semilinear Stochastic Evolution Equations

Author keywords

Numerical approximation; Stochastic evolution equations; Stochastic partial differential equations

Indexed keywords


EID: 0037209607     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1020552804087     Document Type: Article
Times cited : (136)

References (35)
  • 2
    • 0039443784 scopus 로고
    • On some families of functional spaces. Imbedding and continuation theorems
    • Besov, O.V.: 'On some families of functional spaces. Imbedding and continuation theorems', Dokl. Akad. Nauk SSSR 126 (1959), 1163-1165.
    • (1959) Dokl. Akad. Nauk SSSR , vol.126 , pp. 1163-1165
    • Besov, O.V.1
  • 3
    • 0347492370 scopus 로고
    • Investigation of a family of function spaces in connection with theorems of imbedding and extension
    • Besov, O.V.: 'Investigation of a family of function spaces in connection with theorems of imbedding and extension', Amer. Math. Soc. Transl. Ser. II 40 (1964), 85-126.
    • (1964) Amer. Math. Soc. Transl. Ser. II , vol.40 , pp. 85-126
    • Besov, O.V.1
  • 6
    • 0001167096 scopus 로고
    • Note on product formulas for operator semigroups
    • Chernoff, P.R.: 'Note on product formulas for operator semigroups', J. Funct. Anal. 2 (1968), 238-242.
    • (1968) J. Funct. Anal. , vol.2 , pp. 238-242
    • Chernoff, P.R.1
  • 7
    • 85011480386 scopus 로고    scopus 로고
    • Wavelet and multiscale methods for operator equations
    • Dahmen, W.: 'Wavelet and multiscale methods for operator equations', Acta Numerica 6 (1997), 55-228.
    • (1997) Acta Numerica , vol.6 , pp. 55-228
    • Dahmen, W.1
  • 8
    • 0035280516 scopus 로고    scopus 로고
    • Wavelet methods for PDEs - Some recent developments
    • Dahmen, W.: 'Wavelet methods for PDEs - some recent developments', J. Comput. Appl. Math. 128 (2001), 133-185.
    • (2001) J. Comput. Appl. Math. , vol.128 , pp. 133-185
    • Dahmen, W.1
  • 9
    • 0001787026 scopus 로고    scopus 로고
    • Biorthogonal spline wavelets on the interval - Stability and moment conditions
    • Dahmen, W., Kunoth, A. and Urban, K.: 'Biorthogonal spline wavelets on the interval - stability and moment conditions', Appl. Comput. Harmon. Anal. 6 (1999), 132-196.
    • (1999) Appl. Comput. Harmon. Anal. , vol.6 , pp. 132-196
    • Dahmen, W.1    Kunoth, A.2    Urban, K.3
  • 10
    • 0348122505 scopus 로고
    • CBMS-NSF Regional Conf. Ser. in Appl. Math. 61, CBMS
    • Daubechies, I.: Ten Lectures on Wavelets, CBMS-NSF Regional Conf. Ser. in Appl. Math. 61, CBMS, 1992.
    • (1992) Ten Lectures on Wavelets
    • Daubechies, I.1
  • 12
    • 0035605884 scopus 로고    scopus 로고
    • Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations
    • Davie, A.M. and Gaines, J.G.: 'Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations', Math. Comput. 70(233) (2001), 121-134.
    • (2001) Math. Comput. , vol.70 , Issue.233 , pp. 121-134
    • Davie, A.M.1    Gaines, J.G.2
  • 13
    • 0008986536 scopus 로고
    • On the semigroup approach to stochastic evolution equations
    • Flandoli, F.: 'On the semigroup approach to stochastic evolution equations', Stochastic Anal. Appl. 10 (1992), 181-203.
    • (1992) Stochastic Anal. Appl. , vol.10 , pp. 181-203
    • Flandoli, F.1
  • 16
    • 0003027298 scopus 로고    scopus 로고
    • Time-discretised Galerkin approximations of parabolic stochastic PDEs
    • Greksch, W. and Kloeden, P.: 'Time-discretised Galerkin approximations of parabolic stochastic PDEs', Bull. Austral. Math. Soc. 54 (1996), 79-85.
    • (1996) Bull. Austral. Math. Soc. , vol.54 , pp. 79-85
    • Greksch, W.1    Kloeden, P.2
  • 17
    • 0041725493 scopus 로고    scopus 로고
    • Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise: I
    • Gyöngy, I.: 'Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise: I', Potential Anal. 9 (1998), 1-25.
    • (1998) Potential Anal. , vol.9 , pp. 1-25
    • Gyöngy, I.1
  • 18
    • 0042078403 scopus 로고    scopus 로고
    • Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise: II
    • Gyöngy, I.: 'Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise: II', Potential Anal. 11 (1999), 1-37.
    • (1999) Potential Anal. , vol.11 , pp. 1-37
    • Gyöngy, I.1
  • 20
    • 0003862232 scopus 로고
    • Reprint of the corr. print of the 2nd edn 1980, Vol. XXI, Springer-Verlag
    • Kato, T.: Perturbation Theory for Linear Operators, Reprint of the corr. print of the 2nd edn 1980, Vol. XXI, Springer-Verlag, 1959.
    • (1959) Perturbation Theory for Linear Operators
    • Kato, T.1
  • 21
    • 84972498479 scopus 로고
    • Fractional powers of dissipative operators. II
    • Kato, T.: 'Fractional powers of dissipative operators. II', J. Math. Soc. Japan 14 (1962), 242-248.
    • (1962) J. Math. Soc. Japan , vol.14 , pp. 242-248
    • Kato, T.1
  • 22
    • 0012150629 scopus 로고    scopus 로고
    • Linear-implicit strong schemes for Itô-Galerkin approximations of stochastic PDEs
    • Special issue: Advances in Applied Stochastics
    • Kloeden, P.E. and Shott, S.: 'Linear-implicit strong schemes for Itô-Galerkin approximations of stochastic PDEs', J. Appl. Math. Stochastic Anal. 14 (2001), 47-53. Special issue: Advances in Applied Stochastics.
    • (2001) J. Appl. Math. Stochastic Anal. , vol.14 , pp. 47-53
    • Kloeden, P.E.1    Shott, S.2
  • 23
    • 0004198869 scopus 로고
    • Cambridge Stud. Adv. Math. 37, Cambridge University Press
    • Meyer, Y.: Wavelets and Operators, Cambridge Stud. Adv. Math. 37, Cambridge University Press, 1992.
    • (1992) Wavelets Operators
    • Meyer, Y.1
  • 27
    • 0001924171 scopus 로고
    • Da Prato-Zabczyk's maximal inequality revisited
    • Seidler, J.: 'Da Prato-Zabczyk's maximal inequality revisited', Math. Bohem. 118 (1993), 67-106.
    • (1993) Math. Bohem. , vol.118 , pp. 67-106
    • Seidler, J.1
  • 28
    • 0032676044 scopus 로고    scopus 로고
    • Numerical methods for stochastic parabolic PDEs
    • Shardlow, T.: 'Numerical methods for stochastic parabolic PDEs', Numer. Fund. Anal. Optim. 20 (1999), 121-145.
    • (1999) Numer. Fund. Anal. Optim. , vol.20 , pp. 121-145
    • Shardlow, T.1
  • 29
    • 0005115956 scopus 로고    scopus 로고
    • Piecewise linear (pre-)wavelets on non-uniform meshes
    • W. Hackbusch et al. (eds), Lecture Notes Comput. Sci. Eng., Springer, Berlin
    • Stevenson, R.: 'Piecewise linear (pre-)wavelets on non-uniform meshes', in W. Hackbusch et al. (eds), Multigrid Methods V Proceedings of the 5th European Multigrid Conference, Lecture Notes Comput. Sci. Eng., Vol. 3, Springer, Berlin, 1998, pp. 306-319.
    • (1998) Multigrid Methods V Proceedings of the 5th European Multigrid Conference , vol.3 , pp. 306-319
    • Stevenson, R.1
  • 31
    • 84972529309 scopus 로고
    • Approximation of semi-groups of operators
    • Trotter, H.F.: 'Approximation of semi-groups of operators', Pacific J. Math. 8 (1958), 887-919.
    • (1958) Pacific J. Math. , vol.8 , pp. 887-919
    • Trotter, H.F.1
  • 32
    • 84968520470 scopus 로고
    • On the product of semi-groups of operators
    • Trotter, H.F.: 'On the product of semi-groups of operators', Proc. Amer. Math. Soc. 10 (1959), 545-551.
    • (1959) Proc. Amer. Math. Soc. , vol.10 , pp. 545-551
    • Trotter, H.F.1
  • 34
    • 0003366040 scopus 로고
    • Coincidence entre des espaces d'interpolation et des domaines de puissances fractionnaires d'opérateurs
    • Yagi, A.: 'Coincidence entre des espaces d'interpolation et des domaines de puissances fractionnaires d'opérateurs', C.R. Acad. Sci. Paris, Ser. I 299 (1984), 173-176.
    • (1984) C.R. Acad. Sci. Paris, Ser. I , vol.299 , pp. 173-176
    • Yagi, A.1
  • 35
    • 0034395433 scopus 로고    scopus 로고
    • 1 by a finite-difference method
    • 1 by a finite-difference method', Math. Comput. 69 (2000), 653-666.
    • (2000) Math. Comput. , vol.69 , pp. 653-666
    • Yoo, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.