메뉴 건너뛰기




Volumn 21, Issue 3, 1996, Pages 321-333

Splines difference methods for a singular perturbation problem

Author keywords

Difference schemes; Optimal and convergence in a small parameter ; Singularly perturbed non self adjoint problem; Uniform

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; PROBLEM SOLVING;

EID: 0030189825     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/0168-9274(96)00011-6     Document Type: Article
Times cited : (11)

References (12)
  • 1
    • 84966222510 scopus 로고
    • An analysis of a uniformly accurate difference method for a singular perturbation problem
    • A.E. Berger, J.M. Solomon and M. Ciment, An analysis of a uniformly accurate difference method for a singular perturbation problem, Math. Comput. 37 (1981) 79-94.
    • (1981) Math. Comput. , vol.37 , pp. 79-94
    • Berger, A.E.1    Solomon, J.M.2    Ciment, M.3
  • 4
    • 0023207806 scopus 로고
    • Uniform and optimal schemes for stiff-initial-value problems
    • P.A. Farrell, Uniform and optimal schemes for stiff-initial-value problems, Comput. Math. Applic. 13 (12) (1987) 925-936.
    • (1987) Comput. Math. Applic. , vol.13 , Issue.12 , pp. 925-936
    • Farrell, P.A.1
  • 5
    • 0001125929 scopus 로고
    • Sufficient conditions for uniform convergence of a class of difference schemes for a singularly perturbed problem
    • P.A. Farrell, Sufficient conditions for uniform convergence of a class of difference schemes for a singularly perturbed problem, IMA J. Numer. Anal. 7 (1987) 459-472.
    • (1987) IMA J. Numer. Anal. , vol.7 , pp. 459-472
    • Farrell, P.A.1
  • 6
    • 84966216257 scopus 로고
    • Analysis of some difference approximations for a singular perturbation problem without turning points
    • R.B. Kellogg and A. Tsan, Analysis of some difference approximations for a singular perturbation problem without turning points, Math. Comput. 32 (1978) 1025-1039.
    • (1978) Math. Comput. , vol.32 , pp. 1025-1039
    • Kellogg, R.B.1    Tsan, A.2
  • 7
    • 9744239772 scopus 로고
    • Combinations of initial and boundary value methods for a class of singular perturbation problems
    • P.W. Hemker and J.J. Miller, eds., North-Holland, Amsterdam
    • J. Lorens, Combinations of initial and boundary value methods for a class of singular perturbation problems, in: P.W. Hemker and J.J. Miller, eds., Proceedings of the Conference on Numerical Analysis of Singular Perturbation Problems (North-Holland, Amsterdam, 1979) 295-317.
    • (1979) Proceedings of the Conference on Numerical Analysis of Singular Perturbation Problems , pp. 295-317
    • Lorens, J.1
  • 8
    • 0016495984 scopus 로고
    • The multivariable method in singular perturbation analysis
    • D.R. Smith, The multivariable method in singular perturbation analysis, SIAM Rev. 17 (1975) 211-273.
    • (1975) SIAM Rev. , vol.17 , pp. 211-273
    • Smith, D.R.1
  • 9
    • 2742528404 scopus 로고
    • Numerical solution of a singularly perturbed problem via exponential splines
    • M. Stojanović, Numerical solution of a singularly perturbed problem via exponential splines, BIT 30 (1990) 171-176.
    • (1990) BIT , vol.30 , pp. 171-176
    • Stojanović, M.1
  • 10
    • 30244555218 scopus 로고
    • A posteriori improvement of adaptive spline function approximation
    • M. Stojanović, A posteriori improvement of adaptive spline function approximation, Math. Balcanica, New Series 3 (1989) 258-263.
    • (1989) Math. Balcanica, New Series , vol.3 , pp. 258-263
    • Stojanović, M.1
  • 11
    • 0026189652 scopus 로고
    • A difference method for non-self adjoint singular perturbation problem of second order
    • M. Stojanović, A difference method for non-self adjoint singular perturbation problem of second order, Appl. Math. Modelling 15 (1991) 381-385.
    • (1991) Appl. Math. Modelling , vol.15 , pp. 381-385
    • Stojanović, M.1
  • 12
    • 0002597533 scopus 로고
    • Solving singularly perturbed problems by spline in tension
    • K. Surla and M. Stojanović, Solving singularly perturbed problems by spline in tension, J. Comput. Appl. Math. 24 (1989) 355-363.
    • (1989) J. Comput. Appl. Math. , vol.24 , pp. 355-363
    • Surla, K.1    Stojanović, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.