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Volumn 40, Issue 11-12, 2004, Pages 1309-1321

Estimating conditioning of BVPs for ODEs

Author keywords

BVP; Condition; ODE; Pseudosolution; Residual

Indexed keywords

BOUNDARY CONDITIONS; CODES (SYMBOLS); COMPUTER SOFTWARE; FORTRAN (PROGRAMMING LANGUAGE); ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RUNGE KUTTA METHODS;

EID: 18044381568     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.01.021     Document Type: Article
Times cited : (11)

References (17)
  • 1
    • 85030799983 scopus 로고    scopus 로고
    • A BVP solver based on residual control and the Matlab PSE
    • (to appear).
    • J. Kierzenka and L.F. Shampine, A BVP solver based on residual control and the Matlab PSE, ACM Trans. Math. Softw. (to appear).
    • ACM Trans. Math. Softw.
    • Kierzenka, J.1    Shampine, L.F.2
  • 2
    • 2142782818 scopus 로고    scopus 로고
    • Runge-Kutta software with defect control for boundary value ODEs
    • W.H. Enright, and P.H. Muir Runge-Kutta software with defect control for boundary value ODEs SIAM J. Sci. Comput. 17 1996 479 497
    • (1996) SIAM J. Sci. Comput. , vol.17 , pp. 479-497
    • Enright, W.H.1    Muir, P.H.2
  • 3
    • 0024143903 scopus 로고
    • FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (Algorithm 674)
    • N.J. Higham FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation (Algorithm 674) ACM Trans. Math. Softw. 14 1988 381 396
    • (1988) ACM Trans. Math. Softw. , vol.14 , pp. 381-396
    • Higham, N.J.1
  • 4
    • 0034144755 scopus 로고    scopus 로고
    • A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra
    • N.J. Higham, and F. Tisseur A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra SIAM J. Matrix. Anal. Appl. 21 2000 1185 1201
    • (2000) SIAM J. Matrix. Anal. Appl. , vol.21 , pp. 1185-1201
    • Higham, N.J.1    Tisseur, F.2
  • 6
    • 0013723684 scopus 로고
    • The application of implicit Runge-Kutta and collocation methods to boundary value problems
    • R. Weiss The application of implicit Runge-Kutta and collocation methods to boundary value problems Math. Comp. 28 1974 449 464
    • (1974) Math. Comp. , vol.28 , pp. 449-464
    • Weiss, R.1
  • 10
    • 0034416441 scopus 로고    scopus 로고
    • Almost block diagonal linear systems: Sequential and parallel solution techniques, and applications
    • P. Amodia Almost block diagonal linear systems: Sequential and parallel solution techniques, and applications Numer. Linear Algebra Appl. 7 2000 275 317
    • (2000) Numer. Linear Algebra Appl. , vol.7 , pp. 275-317
    • Amodia, P.1
  • 11
    • 0020822005 scopus 로고
    • FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination
    • J.C. Diaz, G. Fairweather, and P. Keast FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination ACM Trans. Math. Softw. 9 1983 358 375
    • (1983) ACM Trans. Math. Softw. , vol.9 , pp. 358-375
    • Diaz, J.C.1    Fairweather, G.2    Keast, P.3
  • 12
    • 0020822005 scopus 로고
    • Algorithm 603. COLROW and ARCECO: FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination
    • J.C. Diaz, G. Fairweather, and P. Keast Algorithm 603. COLROW and ARCECO: FORTRAN packages for solving certain almost block diagonal linear systems by modified alternate row and column elimination ACM Trans. Math. Softw. 9 1983 358 375
    • (1983) ACM Trans. Math. Softw. , vol.9 , pp. 358-375
    • Diaz, J.C.1    Fairweather, G.2    Keast, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.