Publication Cover
Applicable Analysis
An International Journal
Volume 62, 1996 - Issue 3-4
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Original Articles

Identification of the drift coeffic plank equation from the momer its stationary solution

Pages 335-348 | Published online: 02 May 2007

  • Alessandrini , G. 1979 . On differentiation of approximately given functions . Applicable Analysis , 11 : 45 – 59 .
  • Askey , R. , Schoenberg , I J. and Sharma , A. 1982 . Hausdorff's moment problem and expansions in Legendre polynomials . J.of Math.Analysis and Appl , 86 : 237 – 245 .
  • Bertero , M. 1986 . “ Regularization method for linear inverse problems Inverse problems ” . In Lecture Notes in Math , Edited by: Talenti , G. Vol. 1225 , 52 – 112 . Berlin : Springer-Verlag .
  • Borwein , P. and Lewis , A S. 1994 . Moment-matching and best entropy estimates . Journal of Math. Analysis and Applic , 185 : 596 – 604 .
  • Csiszar , I. 1975 . I-divergence geometry of probability distributions and minimization problems . The Annals of Probability , l ( 1 ) : 146 – 158 .
  • Fasino , D. 1994 . Spectral properties of the Hankel matrices and numerical solutions of finite moment problems . Journal of Computational and Applied Mathematics , 65 : 145 – 155 .
  • French , J B . 1979 . Elementary principles of spectral distributions Theory and applications of moment problems in many-fermion systems , Edited by: Dalton , B J et al . 1 – 16 . New York : Plenum .
  • Frontini , M. , Rodriguez , G. and Seatzu , S. 1989 . “ An algorithm for computing minimum norm solutions of finite moment problems Algorithms for approximation ” . Edited by: Mason , J C. and Cox , M G. London : Chapman and Hall .
  • Gautschi , W. 1984 . Discrete approximations to spherically symmetric distributions . Numer.Math , 44 : 53 – 60 .
  • Gautschi , W. and Milovanovic , G V. 1986 . Spline approximations to spherically symmetric distributions . Numer.Math , 49 : 111 – 121 .
  • Gnedenko , B V. in press . 1976 The theory of probability (Moscow: MIR) .
  • Inglese , G. 1988 . Approximate solution for a finite moment problem . Calcolo , 25 : 233 – 248 .
  • Inglese , G. 1957 . A note about the discretization of the finite moment problems . Inverse Problems , 10 : 401 – 414 .
  • Jaynes , E T. 1957 . Information theory and statistical mechanics . Physical Review , 106 ( 4 ) : 620 – 630 .
  • Jhonson , R W. and Shore , J E. 1980 . Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy . IEEE Trans.Inf. Theory IT , 26 ( 1 ) : 26 – 37 .
  • Karlin , S. and Shapley , L S . 1953 . Geometry of moment spaces . Memoirs AMS 12 , Providence RI: AMS
  • Murio , D A. 1993 . The mollification method and the numerical solution of ill-posed problems , New York : Wiley and Sons .
  • Murio , D A. and Guo , L. 1990 . Discrete stability analysis of the mollification method for numerical differentiation . Computers Math. Applic , 19 ( 6 ) : 15 – 26 .
  • Oksendal , B. 1992 . Stochastic Differential Equations , Berlin : Springer-Verlag .
  • Risken , H. 1989 . The Fokker-Plank equation , Berlin : Springer-Verlag .
  • Roy , R V. and Spanos , P D. 1993 . Power spectral densisy of nonlinear system response: the recursion method . Journal of Applied mechanics , 93 ( 12 ) APM
  • Rudin , W. 1966 . Real and complex analysis , New York : McGraw Hill .
  • Shoat , J A. and Tamarkin , J D. 1943 . The problem of moments . AMS Math. Survey 1 , Providence RI: AMS
  • Soong , T T. and Grigoriu , M. 1993 . “ Random virbration of mechanical and structural Systems ” . Prentice Hall : Englewood Cliffs: .
  • Talenti , G. 1987 . Recovering a functionfrom a finite number of moments . Inverse Problems , 3 : 501 – 517 .
  • Tyrtyshnikov , E E. 1994 . How bad are Hankel matrices . Numer.Math. , 67 : 261 – 269 .

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