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Volumn 111, Issue 1-2, 1999, Pages 37-47

Deferred correction with mono-implicit Runge-Kutta methods for first-order IVPs

Author keywords

65L05; 65L06; 65L20; Deferred correction; Mono implicit Runge Kutta method; Stability

Indexed keywords

APPROXIMATION THEORY; ASYMPTOTIC STABILITY; ERROR CORRECTION; MATRIX ALGEBRA; THEOREM PROVING;

EID: 0033355811     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(99)00130-2     Document Type: Article
Times cited : (12)

References (8)
  • 1
    • 0028444762 scopus 로고
    • Order results for mono-implicit Runge-Kutta methods
    • Burrage K., Chipman F.H., Muir P.H. Order results for mono-implicit Runge-Kutta methods. SIAM J. Numer. Anal. 31:1994;876-891.
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 876-891
    • Burrage, K.1    Chipman, F.H.2    Muir, P.H.3
  • 3
    • 0020602456 scopus 로고
    • A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems
    • Cash J.R. A variable order deferred correction algorithm for the numerical solution of nonlinear two point boundary value problems. Comput. Maths. Appl. 9:1983;257-265.
    • (1983) Comput. Maths. Appl. , vol.9 , pp. 257-265
    • Cash, J.R.1
  • 4
    • 0002343490 scopus 로고    scopus 로고
    • Iterated deferred correction for linear two-point boundary value problems
    • Cash J.R., Silva H.H.M. Iterated deferred correction for linear two-point boundary value problems. Comput. Appl. Math. 15:1996;55-75.
    • (1996) Comput. Appl. Math. , vol.15 , pp. 55-75
    • Cash, J.R.1    Silva, H.H.M.2
  • 5
    • 84968497765 scopus 로고
    • On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations
    • Prothero A., Robinson A. On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations. Math. Comput. 28:1974;145-162.
    • (1974) Math. Comput. , vol.28 , pp. 145-162
    • Prothero, A.1    Robinson, A.2
  • 6
    • 0000140271 scopus 로고
    • A theoretical framework for proving accuracy results for deferred correction
    • Skeel R.D. A theoretical framework for proving accuracy results for deferred correction. SIAM J. Numer. Anal. 19:1981;171-196.
    • (1981) SIAM J. Numer. Anal. , vol.19 , pp. 171-196
    • Skeel, R.D.1
  • 7
    • 0029718139 scopus 로고    scopus 로고
    • A general theory of stabilized extended one-step methods for ODEs
    • Van Daele M., Vanden Berghe G., De Meyer H. A general theory of stabilized extended one-step methods for ODEs. Int. J. Comput. Math. 60:1996;253-263.
    • (1996) Int. J. Comput. Math. , vol.60 , pp. 253-263
    • Van Daele, M.1    Vanden Berghe, G.2    De Meyer, H.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.