메뉴 건너뛰기




Volumn 20, Issue 3, 2004, Pages 977-991

Inverse problems for ODEs using contraction maps and suboptimality of the 'collage method'

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DATA ACQUISITION; DIFFERENTIAL EQUATIONS; INTEGRAL EQUATIONS; INTERPOLATION; MAPS; MATHEMATICAL OPERATORS; OPTIMIZATION; SHRINKAGE;

EID: 3042672885     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/3/019     Document Type: Article
Times cited : (52)

References (20)
  • 2
    • 0013905804 scopus 로고
    • Inverse problems in ecology
    • Bellman R 1966 Inverse problems in ecology J. Theor. Biol. 11164-7
    • (1966) J. Theor. Biol. , vol.11 , pp. 164-167
    • Bellman, R.1
  • 3
    • 0001224068 scopus 로고
    • Une remarque sur la méthode de Banach-Caccioppoli-Tikhonov dans la théorie des équations differentielles ordinaires
    • Bielecki A 1956 Une remarque sur la méthode de Banach-Caccioppoli-Tikhonov dans la théorie des équations differentielles ordinaires Bull. Acad. Pol. Sci. Cl. III 4 261-4
    • (1956) Bull. Acad. Pol. Sci. Cl. III , vol.4 , pp. 261-264
    • Bielecki, A.1
  • 4
    • 0000223876 scopus 로고
    • Continuity of attractors and invariant measures for iterated function systems
    • Centore P and Vrscay E R 1994 Continuity of attractors and invariant measures for iterated function systems Can. Math. Bull. 37 315-29
    • (1994) Can. Math. Bull. , vol.37 , pp. 315-329
    • Centore, P.1    Vrscay, E.R.2
  • 6
    • 0001192821 scopus 로고
    • Equations of motion from a data series
    • Crutchfield J and McNamara B 1987 Equations of motion from a data series Complex Syst. 1 417-52
    • (1987) Complex Syst. , vol.1 , pp. 417-452
    • Crutchfield, J.1    McNamara, B.2
  • 10
    • 0012997670 scopus 로고    scopus 로고
    • Inverse problem methods for generalized fractal transforms
    • ed Y Fisher (Heidelberg: Springer)
    • Forte B and Vrscay E R 1998 Inverse problem methods for generalized fractal transforms Fractal Image Encoding and Analysis (NATO ASI Series F vol 159) ed Y Fisher (Heidelberg: Springer)
    • (1998) Fractal Image Encoding and Analysis (NATO ASI Series F) , vol.159
    • Forte, B.1    Vrscay, E.R.2
  • 13
    • 0012988949 scopus 로고    scopus 로고
    • Solving inverse problems for ODEs using the picard contraction mapping
    • Kunze H and Vrscay E 1999 Solving inverse problems for ODEs using the Picard contraction mapping Inverse Probl. 15 745-70
    • (1999) Inverse Probl. , vol.15 , pp. 745-770
    • Kunze, H.1    Vrscay, E.2
  • 14
    • 0003398168 scopus 로고
    • Englewood Cliffs, NJ: Prentice-Hall
    • Lanczos C 1956 Applied Analysis (Englewood Cliffs, NJ: Prentice-Hall) pp 272-80
    • (1956) Applied Analysis , pp. 272-280
    • Lanczos, C.1
  • 16
    • 0027091847 scopus 로고
    • Parameter estimation of ecological models
    • Marsili-Libelli S 1992 Parameter estimation of ecological models Ecol. Model. 62 233-58
    • (1992) Ecol. Model. , vol.62 , pp. 233-258
    • Marsili-Libelli, S.1
  • 17
    • 0003230715 scopus 로고
    • The inverse problem: Estimation of kinetic parameters
    • ed K H Ebert, P Deuflhard and W Jäger (Berlin: Springer)
    • Milstein J 1981 The inverse problem: estimation of kinetic parameters Modeling of Chemical Reaction Systems ed K H Ebert, P Deuflhard and W Jäger (Berlin: Springer)
    • (1981) Modeling of Chemical Reaction Systems
    • Milstein, J.1
  • 19
    • 3042544397 scopus 로고
    • Estimating kinetic rate constants using orthogonal polynomials and Picard's iteration method
    • Tanner R 1972 Estimating kinetic rate constants using orthogonal polynomials and Picard's iteration method Ind. Eng. Chem. Fundam. 11 1-8
    • (1972) Ind. Eng. Chem. Fundam. , vol.11 , pp. 1-8
    • Tanner, R.1
  • 20
    • 0007903718 scopus 로고    scopus 로고
    • Can one break the 'collage barrier' in fractal image coding
    • ed M Dekking, J Levy-Vehel, E Lutton and C Tricot (Berlin: Springer)
    • Vrscay E R and Saupe D 1999 Can one break the 'collage barrier' in fractal image coding Fractals: Theory and Applications in Engineering ed M Dekking, J Levy-Vehel, E Lutton and C Tricot (Berlin: Springer) pp 307-23
    • (1999) Fractals: Theory and Applications in Engineering , pp. 307-323
    • Vrscay, E.R.1    Saupe, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.