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Volumn 36, Issue 10-12, 1998, Pages 59-69

Lobatto deferred correction for stiff two-point boundary value problems

Author keywords

Deferred correction; Lobatto formulae; Symmetry; Two point boundary value problems

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING; RUNGE KUTTA METHODS;

EID: 0032203899     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(98)80009-6     Document Type: Article
Times cited : (24)

References (18)
  • 1
    • 0037855751 scopus 로고
    • Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations
    • L. Fox, Some improvements in the use of relaxation methods for the solution of ordinary and partial differential equations, Proc. Roy. Soc. London Ser. A 190, 31-59 (1947).
    • (1947) Proc. Roy. Soc. London Ser. A , vol.190 , pp. 31-59
    • Fox, L.1
  • 2
    • 0013465434 scopus 로고
    • On improving an approximate solution of a functional equation by deferred corrections
    • V. Pereyra, On improving an approximate solution of a functional equation by deferred corrections, Numer. Math. 8, 376-391 (1966).
    • (1966) Numer. Math. , vol.8 , pp. 376-391
    • Pereyra, V.1
  • 3
    • 33745580052 scopus 로고
    • The defect correction principle and discretization methods
    • H.J. Stetter, The defect correction principle and discretization methods, Numer. Math. 29, 425-443 (1978).
    • (1978) Numer. Math. , vol.29 , pp. 425-443
    • Stetter, H.J.1
  • 4
    • 0037855749 scopus 로고
    • Error estimation and iterative improvement for discretization algorithms
    • B. Lindberg, Error estimation and iterative improvement for discretization algorithms, BIT 20, 486-500 (1980).
    • (1980) BIT , vol.20 , pp. 486-500
    • Lindberg, B.1
  • 5
    • 0000140271 scopus 로고
    • A theoretical framework for proving accuracy results for deferred corrections
    • R.D. Skeel, A theoretical framework for proving accuracy results for deferred corrections, SIAM J. Numer. Anal. 19, 171-196 (1982).
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 171-196
    • Skeel, R.D.1
  • 6
    • 0022791144 scopus 로고
    • On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections, Part 1: A survey and comparison of some one-step formulae
    • J.R. Cash, On the numerical integration of nonlinear two-point boundary value problems using iterated deferred corrections, Part 1: A survey and comparison of some one-step formulae, Computers Math. Applic. 12A (10), 1029-1048 (1986).
    • (1986) Computers Math. Applic. , vol.12 A , Issue.10 , pp. 1029-1048
    • Cash, J.R.1
  • 7
    • 0000257129 scopus 로고
    • Part 2: The development and analysis of highly stable deferred correction formulae
    • J.R. Cash, Part 2: The development and analysis of highly stable deferred correction formulae, SIAM J. Numer. Anal. 21, 862-882 (1988).
    • (1988) SIAM J. Numer. Anal. , vol.21 , pp. 862-882
    • Cash, J.R.1
  • 8
    • 0002343490 scopus 로고    scopus 로고
    • Iterated deferred correction for linear two-point boundary value problems
    • H.H.M. Silva and J.R. Cash, Iterated deferred correction for linear two-point boundary value problems, Comp. Appl. Math. 15, 55-75 (1996).
    • (1996) Comp. Appl. Math. , vol.15 , pp. 55-75
    • Silva, H.H.M.1    Cash, J.R.2
  • 9
    • 84913353266 scopus 로고
    • A variable order finite difference method for nonlinear multipoint boundary value problems
    • M. Lentini and V. Pereyra, A variable order finite difference method for nonlinear multipoint boundary value problems, M. Comp. 28, 981-1004 (1974).
    • (1974) M. Comp. , vol.28 , pp. 981-1004
    • Lentini, M.1    Pereyra, V.2
  • 10
    • 0000319360 scopus 로고
    • Numerov's method with deferred corrections for two-point boundary value problems
    • J.W. Daniel and A.J. Martin, Numerov's method with deferred corrections for two-point boundary value problems, SIAM J. Numer. Anal. 14, 1033-1050 (1977).
    • (1977) SIAM J. Numer. Anal. , vol.14 , pp. 1033-1050
    • Daniel, J.W.1    Martin, A.J.2
  • 11
    • 0000529753 scopus 로고
    • A deferred correction method for nonlinear two-point boundary value problems. Implementation and numerical evaluation
    • J.R. Cash and M.H. Wright, A deferred correction method for nonlinear two-point boundary value problems. Implementation and numerical evaluation, SIAM J. Sci. Stat. Comput. 12, 971-989 (1991).
    • (1991) SIAM J. Sci. Stat. Comput. , vol.12 , pp. 971-989
    • Cash, J.R.1    Wright, M.H.2
  • 16
    • 0020304319 scopus 로고
    • High order methods for the numerical solution of two-point boundary value problems
    • J.R. Cash and A. Singhal, High order methods for the numerical solution of two-point boundary value problems, BIT 22, 184-199 (1982).
    • (1982) BIT , vol.22 , pp. 184-199
    • Cash, J.R.1    Singhal, A.2
  • 18
    • 0039595315 scopus 로고
    • Thirteen ways to estimate global error
    • R.D. Skeel, Thirteen ways to estimate global error, Numer. Math. 48, 1-20 (1986).
    • (1986) Numer. Math. , vol.48 , pp. 1-20
    • Skeel, R.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.