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Volumn 5, Issue 4, 2003, Pages 425-451

Spline approximation method for solving self-adjoint singular perturbation problems on non-uniform grids

Author keywords

Adaptive grid; BVPs; Cubic spline; ODEs; Singular perturbation

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; FINITE DIFFERENCE METHOD; FINITE ELEMENT METHOD; FLUID DYNAMICS; FUNCTIONS; HYDRODYNAMICS; PERTURBATION TECHNIQUES;

EID: 0038165097     PISSN: 15211398     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024573332334     Document Type: Article
Times cited : (8)

References (12)
  • 2
    • 0038536333 scopus 로고
    • A variational difference scheme for a boundary value problem with a small parameter in the highest derivative
    • I. P. Boglaev, A variational difference scheme for a boundary value problem with a small parameter in the highest derivative, U.S.S.R. Comput. Math. and Math. Phys. 21(4) 71-81 (1981).
    • (1981) U.S.S.R. Comput. Math. and Math. Phys. , vol.21 , Issue.4 , pp. 71-81
    • Boglaev, I.P.1
  • 4
    • 0037859915 scopus 로고
    • On the convergence, uniformly in ε, of difference schemes for a two-point boundary singular perturbation problem
    • Academic Press, New York
    • J. J. H. Miller, On the convergence, uniformly in ε, of difference schemes for a two-point boundary singular perturbation problem, Numerical Analysis of Singular Perturbation Problems, Academic Press, New York, 1979, 467-474.
    • (1979) Numerical Analysis of Singular Perturbation Problems , pp. 467-474
    • Miller, J.J.H.1
  • 6
    • 0037859912 scopus 로고
    • On a three-point difference scheme for a singular perturbation problem without a first derivative term I
    • K. Niijima, On a three-point difference scheme for a singular perturbation problem without a first derivative term I, Mem. Numer. Math. 7, 1-10 (1980).
    • (1980) Mem. Numer. Math. , vol.7 , pp. 1-10
    • Niijima, K.1
  • 7
    • 0037859912 scopus 로고
    • On a three-point difference scheme for a singular perturbation problem without a first derivative term II
    • K. Niijima, On a three-point difference scheme for a singular perturbation problem without a first derivative term II, Mem. Numer. Math. 7, 11-27 (1980).
    • (1980) Mem. Numer. Math. , vol.7 , pp. 11-27
    • Niijima, K.1
  • 8
    • 84966211358 scopus 로고
    • A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem
    • E. O'Riordan and M. Stynes, A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion problem. Math. Comp. 47, 555-570 (1986).
    • (1986) Math. Comp. , vol.47 , pp. 555-570
    • O'Riordan, E.1    Stynes, M.2
  • 10
    • 84966220357 scopus 로고
    • On the finite element method for singularly perturbed reaction diffusion problems in two and one dimension
    • A. H. Schatz and L. B. Wahlin, On the finite element method for singularly perturbed reaction diffusion problems in two and one dimension, Math. Comp. 40, 47-89 (1983).
    • (1983) Math. Comp. , vol.40 , pp. 47-89
    • Schatz, A.H.1    Wahlin, L.B.2
  • 11
    • 0002885705 scopus 로고
    • A lower bound for the smallest singular value of a matrix
    • J. M. Varah, A lower bound for the smallest singular value of a matrix, Linear Alg. Appl., 11, 3-5 (1975).
    • (1975) Linear Alg. Appl. , vol.11 , pp. 3-5
    • Varah, J.M.1
  • 12
    • 3543111901 scopus 로고    scopus 로고
    • Finite element method for solving self adjoint singularly perturbed boundary value problems
    • V. Vukoslavčević and K. Surla, Finite element method for solving self adjoint singularly perturbed boundary value problems, Mathematics Montisnigri, VII, 89-96 (1996).
    • (1996) Mathematics Montisnigri , vol.7 , pp. 89-96
    • Vukoslavčević, V.1    Surla, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.