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Volumn 30, Issue 1, 1999, Pages 93-111

Asymptotic expansions and numerical approximation of nonlinear degenerate boundary-value problems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; FINITE DIFFERENCE METHOD; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS;

EID: 0033541911     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00087-7     Document Type: Article
Times cited : (11)

References (12)
  • 2
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    • A general extrapolation algorithm
    • C. Brezinski, A general extrapolation algorithm, Numer. Math. 35 (1980) 175-187.
    • (1980) Numer. Math. , vol.35 , pp. 175-187
    • Brezinski, C.1
  • 4
    • 0030170369 scopus 로고    scopus 로고
    • Numerical methods and asymptotic error expansions for the emden-fowler equations
    • P.M. Lima, Numerical methods and asymptotic error expansions for the emden-fowler equations, J. Comput. Appl Math. 70 (1996) 245-266.
    • (1996) J. Comput. Appl Math. , vol.70 , pp. 245-266
    • Lima, P.M.1
  • 5
    • 0009427910 scopus 로고
    • Finite element solution of degenerate boundary-value problems for ordinary differential equations
    • A.N. Alekseev and N.S. Bakhvalov, eds., Novosibirsk
    • P.M. Lima and A.C. Lemos, Finite element solution of degenerate boundary-value problems for ordinary differential equations, in: A.N. Alekseev and N.S. Bakhvalov, eds., Advanced Mathematics, Computations and Applications (Novosibirsk, 1995) 503-510.
    • (1995) Advanced Mathematics, Computations and Applications , pp. 503-510
    • Lima, P.M.1    Lemos, A.C.2
  • 6
    • 21144482189 scopus 로고
    • Numerical schemes for degenerate boundary-value problems
    • J.W. Mooney, Numerical schemes for degenerate boundary-value problems, J. Phys. A 26 (1993) L413-L421.
    • (1993) J. Phys. A , vol.26
    • Mooney, J.W.1
  • 7
    • 0027607603 scopus 로고
    • Solution of a thomas-fermi problem using linear approximants
    • J.W. Mooney, Solution of a thomas-fermi problem using linear approximants, Comput. Phys. Comm. 76 (1993) 51-57.
    • (1993) Comput. Phys. Comm. , vol.76 , pp. 51-57
    • Mooney, J.W.1
  • 8
    • 0028711496 scopus 로고
    • Solution of emden-type problems using accurate, efficient discretization schemes
    • J.W. Mooney, Solution of emden-type problems using accurate, efficient discretization schemes, Comput. Phys. Comm. 83 (1994) 245-254.
    • (1994) Comput. Phys. Comm. , vol.83 , pp. 245-254
    • Mooney, J.W.1
  • 9
    • 0000622932 scopus 로고
    • Accelerating the convergence of discretization algorithms
    • V. Pereyra, Accelerating the convergence of discretization algorithms, SIAM J. Numer. Anal. 4 (1967) 508-533.
    • (1967) SIAM J. Numer. Anal. , vol.4 , pp. 508-533
    • Pereyra, V.1
  • 11
    • 0002240494 scopus 로고
    • Asymptotic expansions for the error of discretization algorithms for nonlinear functional equations
    • H.J. Stetter, Asymptotic expansions for the error of discretization algorithms for nonlinear functional equations, Numer. Math. 7 (1965) 18-31
    • (1965) Numer. Math. , vol.7 , pp. 18-31
    • Stetter, H.J.1
  • 12
    • 0016495927 scopus 로고
    • On the generalized emden-fowler equation
    • J.W. Wong, On the generalized emden-fowler equation, SIAM Rev. 17 (1975) 339-360.
    • (1975) SIAM Rev. , vol.17 , pp. 339-360
    • Wong, J.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.