메뉴 건너뛰기




Volumn 51, Issue 184, 1988, Pages 631-657

Graded-mesh difference schemes for singularly perturbed two-point boundary value problems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84966250007     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1988-0935072-1     Document Type: Article
Times cited : (116)

References (24)
  • 1
    • 0011912796 scopus 로고
    • Collocation for singular perturbation problems I: First order systems with constant coefficients
    • U. ASCHER & R. Weiss, “Collocation for singular perturbation problems I: First order systems with constant coefficients, ” SIAM J. Numer. Anal., v. 20, 1983, pp. 537-557.
    • (1983) SIAM J. Numer. Anal , vol.20 , pp. 537-557
    • Ascher, U.1    Weiss, R.2
  • 2
    • 84966261533 scopus 로고
    • Collocation for singular perturbation problems II: Linear first order systems without turning points
    • U. ASCHER & R. Weiss, “Collocation for singular perturbation problems II: Linear first order systems without turning points, ” Math. Comp., v. 43, 1984, pp. 157-187.
    • (1984) Math. Comp , vol.43 , pp. 157-187
    • Ascher, U.1    Weiss, R.2
  • 3
    • 0006611351 scopus 로고
    • Collocation for singular perturbation problems III: Nonlinear problems without turning points, SIAM
    • U. ASCHER & R. Weiss, “Collocation for singular perturbation problems III: Nonlinear problems without turning points, ” SIAM J. Sci. Statist. Comput., v. 5, 1984, pp. 811-829.
    • (1984) J. Sci. Statist. Comput , vol.5 , pp. 811-829
    • Ascher, U.1    Weiss, R.2
  • 5
    • 0037948373 scopus 로고
    • The construction of finite difference approximations to ordinary differential equations, SIAM
    • E. J. DOEDEL, “The construction of finite difference approximations to ordinary differential equations, ” SIAM J. Numer. Anal., v. 15, 1978, pp. 450-465.
    • (1978) J. Numer. Anal , vol.15 , pp. 450-465
    • Doedel, E.J.1
  • 6
    • 34250300182 scopus 로고
    • Stabilitatsungleichungen fur Diskretisierungen von Randwertaufgaben gewohn-licher Differentialgleichungen
    • H. ESSER, “Stabilitatsungleichungen fur Diskretisierungen von Randwertaufgaben gewohn-licher Differentialgleichungen, ” Numer. Math., v. 28, 1977, pp. 69-100
    • (1977) Numer. Math , vol.28 , pp. 69-100
    • Esser, H.1
  • 7
    • 0018494050 scopus 로고
    • Difference singular perturbations I. A priori estimates
    • L. S. FRANK, “Difference singular perturbations I. A priori estimates, ” J. Math. Anal. Appl., v. 70, 1979, pp. 180-235.
    • (1979) J. Math. Anal. Appl , vol.70 , pp. 180-235
    • Frank, L.S.1
  • 9
    • 84966237759 scopus 로고
    • Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem
    • E. C. GARTLAND, JR., “Uniform high-order difference schemes for a singularly perturbed two-point boundary value problem, ” Math. Comp., v. 48, 1987, pp. 551-564
    • (1987) Math. Comp , vol.48 , pp. 551-564
    • Gartland, E.C.1
  • 10
    • 84861454545 scopus 로고
    • Strong stability of compact discrete boundary value problems via exact discretizations
    • E. C. GARTLAND, Jr., “Strong stability of compact discrete boundary value problems via exact discretizations, ” SIAM J. Numer. Anal., v. 25, 1988, pp. 111-123
    • (1988) SIAM J. Numer. Anal , vol.25 , pp. 111-123
    • Gartland, E.C.1
  • 11
    • 34250495195 scopus 로고
    • Uber die Koerzitivitat gewohnlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren
    • R. D. GRIGORIEFF, “Uber die Koerzitivitat gewohnlicher Differenzenoperatoren und die Konvergenz von Mehrschrittverfahren, ” Numer. Math., v. 15, 1970, pp. 196-218.
    • (1970) Numer. Math , vol.15 , pp. 196-218
    • Grigorieff, R.D.1
  • 12
    • 84966247178 scopus 로고
    • Approximation methods for nonlinear problems with application to two-point boundary value problems
    • H. B. KELLER, “Approximation methods for nonlinear problems with application to two-point boundary value problems, ” Math. Comp., v. 29, 1975, pp. 464-474.
    • (1975) Math. Comp , vol.29 , pp. 464-474
    • Keller, H.B.1
  • 13
    • 84968486225 scopus 로고
    • Difference approximations for boundary and eigenvalue problems for ordinary differential equations
    • H.-O. KREISS, “Difference approximations for boundary and eigenvalue problems for ordinary differential equations, ” Math. Comp., v. 26, 1972, pp. 605-624.
    • (1972) Math. Comp , vol.26 , pp. 605-624
    • Kreiss, H.-O.1
  • 14
    • 0022696923 scopus 로고
    • Numerical methods for stiff two-point boundary value problems, SIAM
    • H.-O. KREISS, N. K. Nichols & D. L. Brown, “Numerical methods for stiff two-point boundary value problems, ” SIAM J. Numer. Anal., v. 23, 1986, pp. 325-368.
    • (1986) J. Numer. Anal , vol.23 , pp. 325-368
    • Kreiss, H.-O.1    Nichols, N.K.2    Brown, D.L.3
  • 15
    • 84966246071 scopus 로고
    • A high-order difference method for differential equations
    • R. E. LYNCH & J. R. Rice, “A high-order difference method for differential equations, ” Math. Comp., v. 34, 1980, pp. 333-372.
    • (1980) Math. Comp , vol.34 , pp. 333-372
    • Lynch, R.E.1    Rice, J.R.2
  • 16
    • 84966259415 scopus 로고
    • Collocation methods for boundary value problems on ‘long intervals
    • P. A. MARKOWICH & C. A. RINGHOFER, “Collocation methods for boundary value problems on ‘long’ intervals, ” Math. Comp., v. 40, 1983, pp. 123-150.
    • (1983) Math. Comp , vol.40 , pp. 123-150
    • Markowich, P.A.1    Ringhofer, C.A.2
  • 17
    • 0001417004 scopus 로고
    • Die gleichmassige Stabilitat singular gestorter diskreter und kontinuierlicher Randwertprobleme
    • K. NLDERDRENK & H. YSERENTANT, “Die gleichmassige Stabilitat singular gestorter diskreter und kontinuierlicher Randwertprobleme, ” Numer. Math., v. 41, 1983, pp. 223-253.
    • (1983) Numer. Math , vol.41 , pp. 223-253
    • Nlderdrenk, K.1    Yserentant, H.2
  • 19
    • 84968487270 scopus 로고
    • Minimizing truncation error in finite difference approximations to ordinary differential equations
    • M. R. OSBORNE, “Minimizing truncation error in finite difference approximations to ordinary differential equations, ” Math. Comp., v. 21, 1967, pp. 133-145.
    • (1967) Math. Comp , vol.21 , pp. 133-145
    • Osborne, M.R.1
  • 20
    • 84968482071 scopus 로고
    • Maximum norm estimates in the finite element method on plane polygonal domains. Part 2, Refinements
    • A. H. SCHATZ & L. B WAHLBIN, “Maximum norm estimates in the finite element method on plane polygonal domains. Part 2, Refinements, ” Math. Comp., v. 33, 1979, pp. 465-492.
    • (1979) Math. Comp , vol.33 , pp. 465-492
    • Schatz, A.H.1    Wahlbin, L.B.2
  • 22
    • 84966202903 scopus 로고
    • Compact, implicit difference schemes for a differential equations side conditions
    • B. SWARTZ, “Compact, implicit difference schemes for a differential equation’s side conditions, ” Math. Comp., v. 35, 1980, pp. 733-746.
    • (1980) Math. Comp , vol.35 , pp. 733-746
    • Swartz, B.1
  • 23
    • 29244455068 scopus 로고
    • Asymptotic solutions of certain ordinary differential equations associated with multiple roots of the characteristic equation
    • H. L. TURRITIN, “Asymptotic solutions of certain ordinary differential equations associated with multiple roots of the characteristic equation, ” Amer. J. Math., v. 58, 1936, pp. 364-378.
    • (1936) Amer. J. Math , vol.58 , pp. 364-378
    • Turritin, H.L.1
  • 24
    • 0001741172 scopus 로고
    • On numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh, Univ. U Novom Sadu Zb
    • R. VULANOVIC, “On numerical solution of a type of singularly perturbed boundary value problem by using a special discretization mesh, ” Univ. u Novom Sadu Zb. Rad. Prirod.-Mat. Fak. Ser. Mat., v. 13, 1983, pp. 187-201.
    • (1983) Rad. Prirod.-Mat. Fak. Ser. Mat , vol.13 , pp. 187-201
    • Vulanovic, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.