메뉴 건너뛰기




Volumn 88, Issue 2, 1998, Pages 363-375

Pseudospectral Legendre-based optimal computation of nonlinear constrained variational problems

Author keywords

Calculus of variations; Nonlinear programming; Pseudospectral Legendre; Smoothing filter

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; INTERPOLATION; NONLINEAR PROGRAMMING; POLYNOMIALS; PROBLEM SOLVING; SPECTRUM ANALYSIS;

EID: 0032473255     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00225-2     Document Type: Article
Times cited : (35)

References (16)
  • 2
    • 0002373753 scopus 로고
    • Mean convergence of orthogonal series and Lagrange interpolation
    • R. Askey, Mean convergence of orthogonal series and Lagrange interpolation, Acta Math. Acad Sci. Hungar 23 (1972) 71-85.
    • (1972) Acta Math. Acad Sci. Hungar , vol.23 , pp. 71-85
    • Askey, R.1
  • 3
    • 0022131029 scopus 로고
    • A study of mathematical programming methods for structural optimization Part II
    • A.D. Belegundu, J.S. Arora, A study of mathematical programming methods for structural optimization Part II, Int. J. Numer. Meth. Eng. 21 (1985) 1601-1623.
    • (1985) Int. J. Numer. Meth. Eng. , vol.21 , pp. 1601-1623
    • Belegundu, A.D.1    Arora, J.S.2
  • 5
    • 84968491212 scopus 로고
    • Approximation results for orthogonal polynomials in Sobolev spaces
    • C. Canuto, A. Quarteroni, Approximation results for orthogonal polynomials in Sobolev spaces, Math. Comp. 38 (1982) 67-86.
    • (1982) Math. Comp. , vol.38 , pp. 67-86
    • Canuto, C.1    Quarteroni, A.2
  • 7
    • 0042049178 scopus 로고    scopus 로고
    • Numerical solvability of nonlinear problems of the calculus of variations
    • G. Elnagar, M. Kazemi, Numerical solvability of nonlinear problems of the calculus of variations, Numer. Funct. Anal. Optim. 17 (5&6) (1996) 563-575.
    • (1996) Numer. Funct. Anal. Optim. , vol.17 , Issue.5-6 , pp. 563-575
    • Elnagar, G.1    Kazemi, M.2
  • 8
    • 0030584910 scopus 로고    scopus 로고
    • A pseudospectral method for hammerstein equations
    • G. Elnagar, M. Razzaghi, A pseudospectral method for hammerstein equations, J. Math. Anal. Appl. 199 (1996) 579-591.
    • (1996) J. Math. Anal. Appl. , vol.199 , pp. 579-591
    • Elnagar, G.1    Razzaghi, M.2
  • 10
    • 85033887121 scopus 로고    scopus 로고
    • Spectral methods for compressible flow problems
    • D. Gottlieb, Spectral methods for compressible flow problems, ICASE Report, pp. 84-29.
    • ICASE Report , pp. 84-129
    • Gottlieb, D.1
  • 11
    • 0001694389 scopus 로고
    • Recovering pointwise values of discontinuous data within spectral accuracy
    • D. Gottlieb, E. Tadmor, Recovering pointwise values of discontinuous data within spectral accuracy, Progr. Sci. Comput. 6 (1985) 357-375.
    • (1985) Progr. Sci. Comput. , vol.6 , pp. 357-375
    • Gottlieb, D.1    Tadmor, E.2
  • 12
    • 0011408160 scopus 로고
    • Lagrange interpolation (1)
    • G.P. Nevai, Lagrange interpolation (1), Studia Math. 6 (1936) 1-17.
    • (1936) Studia Math. , vol.6 , pp. 1-17
    • Nevai, G.P.1
  • 13
    • 0000238336 scopus 로고
    • A simplex method for function minimization
    • J.A. Nelder, R.A. Mead, A simplex method for function minimization, Comput. J. 7 (1965) 308-313.
    • (1965) Comput. J. , vol.7 , pp. 308-313
    • Nelder, J.A.1    Mead, R.A.2
  • 14
    • 0001008029 scopus 로고
    • An efficient method for finding the minimum of a function of several variables without calculating the derivatives
    • M.J.D. Powell, An efficient method for finding the minimum of a function of several variables without calculating the derivatives, Comput. J. 7 (1964) 155-162.
    • (1964) Comput. J. , vol.7 , pp. 155-162
    • Powell, M.J.D.1
  • 15
    • 34250129599 scopus 로고
    • NLPQL: A FORTRAN subroutine for solving constrained nonlinear programming problems
    • K. Schittkowskki, NLPQL: A FORTRAN subroutine for solving constrained nonlinear programming problems, Oper. Res. Ann 5 (1985) 485-500.
    • (1985) Oper. Res. Ann , vol.5 , pp. 485-500
    • Schittkowskki, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.