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Volumn 26, Issue 3, 2000, Pages 323-351

Superconvergent interpolants for collocation methods applied to mixed-order BVODEs

Author keywords

Algorithms; Bootstrap; Collocation; Hermite Birkhoff interpolation; Performance; Theory

Indexed keywords


EID: 0039927060     PISSN: 00983500     EISSN: None     Source Type: Journal    
DOI: 10.1145/358407.358410     Document Type: Article
Times cited : (7)

References (14)
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    • Ascher, U.1    Christiansen, J.2    Russell, R.3
  • 2
    • 0019575243 scopus 로고
    • Collocation software for boundary value odes
    • ASCHER, U., CHRISTIANSEN, J., AND RUSSELL, R. 1981. Collocation software for boundary value ODEs. ACM Trans. Math. Softw. 7, 2 (June), 209-222.
    • (1981) ACM Trans. Math. Softw. , vol.7 , Issue.2 JUNE , pp. 209-222
    • Ascher, U.1    Christiansen, J.2    Russell, R.3
  • 4
    • 0012706887 scopus 로고
    • On spline basis selection for solving differential equations
    • ASCHER, U., PRUESS, S., AND RUSSELL, R. 1983. On spline basis selection for solving differential equations. SIAM J. Numer. Anal. 20, 121-142.
    • (1983) SIAM J. Numer. Anal. , vol.20 , pp. 121-142
    • Ascher, U.1    Pruess, S.2    Russell, R.3
  • 5
    • 0003154080 scopus 로고
    • A new basis implementation for a mixed order boundary value ODE solver
    • BADER, G. AND ASCHER, U. 1987. A new basis implementation for a mixed order boundary value ODE solver. SIAM J. Sci. Stat. Comput. 8, 4 (July 1), 483-500.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , Issue.4 JULY 1 , pp. 483-500
    • Bader, G.1    Ascher, U.2
  • 6
    • 0000319158 scopus 로고
    • Collocation at gaussian points
    • DE BOOR, C. AND SWARTZ, B. 1973. Collocation at gaussian points. SIAM J. Numer. Anal. 10, 582-606.
    • (1973) SIAM J. Numer. Anal. , vol.10 , pp. 582-606
    • De Boor, C.1    Swartz, B.2
  • 7
    • 0033293694 scopus 로고    scopus 로고
    • Superconvergent interpolants for the collocation solution of BVODEs
    • ENRIGHT, W. AND MUIR, P. 1999. Superconvergent interpolants for the collocation solution of BVODEs. SIAM J. Sci. Comput. 21, 1, 227-254.
    • (1999) SIAM J. Sci. Comput. , vol.21 , Issue.1 , pp. 227-254
    • Enright, W.1    Muir, P.2
  • 9
    • 0039054436 scopus 로고    scopus 로고
    • Uniformly superconvergent approximations for linear two-point boundary value problems
    • JIN, H. AND PRUESS, S. 1998. Uniformly superconvergent approximations for linear two-point boundary value problems. SIAM J. Numer. Anal. 35, 1, 363-375.
    • (1998) SIAM J. Numer. Anal. , vol.35 , Issue.1 , pp. 363-375
    • Jin, H.1    Pruess, S.2
  • 10
    • 0040833020 scopus 로고
    • On hermite-birkhoff interpolation
    • KARLIN, S. AND KARON, J. 1972. On Hermite-Birkhoff interpolation. J. Approx. Theory 6, 90-114.
    • (1972) J. Approx. Theory , vol.6 , pp. 90-114
    • Karlin, S.1    Karon, J.2
  • 11
    • 21344485778 scopus 로고
    • Order barriers and characterizations for continuous mono-implicit Runge-Kutta schemes
    • MUIR, P. AND OWREN, B. 1993. Order barriers and characterizations for continuous mono-implicit Runge-Kutta schemes. Math. Comput. 61, 204 (Oct.), 675-699.
    • (1993) Math. Comput. , vol.61 , Issue.204 OCT , pp. 675-699
    • Muir, P.1    Owren, B.2
  • 12
    • 0039646701 scopus 로고
    • Interpolation schemes for collocation solutions of two point boundary value problems
    • PRUESS, S. 1986. Interpolation schemes for collocation solutions of two point boundary value problems. SIAM J. Sci. Stat. Comput. 7, 1 (Jan.), 322-333.
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , Issue.1 JAN , pp. 322-333
    • Pruess, S.1
  • 13
    • 0039646700 scopus 로고    scopus 로고
    • A stable high-order interpolation scheme for superconvergent data
    • PRUESS, S. AND JIN, H. 1996. A stable high-order interpolation scheme for superconvergent data. SIAM J. Sci. Comput. 17, 3, 714-724.
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.3 , pp. 714-724
    • Pruess, S.1    Jin, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.