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Applied Mathematics and Computation
Volumn 188, Issue 1, 2007, Pages 779-785
New L-stable method for numerical solutions of ordinary differential equations
Author keywords

A and L stability; Initial value problems; Linear multistep methods; Trapezoidal rule
Indexed keywords

INITIAL VALUE PROBLEMS; INTEGRATION; NUMERICAL METHODS; PROBLEM SOLVING; STABILITY;
EID: 34248154374     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.10.055     Document Type: Article
Times cited : (3)
References (9)
  • 1
    • 0042967506 scopus 로고
    • Extended A-stable two-step methods for the numerical solution of ODEs
    • Kondrat D.M., and Jacques I.B. Extended A-stable two-step methods for the numerical solution of ODEs. Int. J. Comput. Math. 42 (1992) 117-124
    • (1992) Int. J. Comput. Math. , vol.42 , pp. 117-124
    • Kondrat, D.M.1    Jacques, I.B.2
  • 2
    • 0033732821 scopus 로고    scopus 로고
    • A two-step method for the numerical integration of stiff differential equations
    • Bulut H., and Inc M. A two-step method for the numerical integration of stiff differential equations. Int. J. Comput. Math. 73 (2000) 333-340
    • (2000) Int. J. Comput. Math. , vol.73 , pp. 333-340
    • Bulut, H.1    Inc, M.2
  • 3
    • 11044230975 scopus 로고
    • A special stability problem for linear multistep methods
    • Dahlquist G. A special stability problem for linear multistep methods. BIT 3 (1963) 27-43
    • (1963) BIT , vol.3 , pp. 27-43
    • Dahlquist, G.1
  • 4
    • 0022247743 scopus 로고
    • A-stable extended Trapezoidal rule for integration of ODEs
    • Usmani R.A., and Agarwal R.P. A-stable extended Trapezoidal rule for integration of ODEs. Comput. Math. Appl. 12 (1985) 1183-1191
    • (1985) Comput. Math. Appl. , vol.12 , pp. 1183-1191
    • Usmani, R.A.1    Agarwal, R.P.2
  • 5
    • 0001355110 scopus 로고
    • Extended one-step methods for the numerical solution of ODEs
    • Jacques I.B. Extended one-step methods for the numerical solution of ODEs. Int. J. Comput. Math. 29 (1989) 247-255
    • (1989) Int. J. Comput. Math. , vol.29 , pp. 247-255
    • Jacques, I.B.1
  • 6
    • 0028012971 scopus 로고
    • Stabilised fourth-order extended methods for the numerical solution of ODEs
    • Chawla M.M., Al-Zanaidi M.A., and Al-Sahar M.S. Stabilised fourth-order extended methods for the numerical solution of ODEs. Int. J. Comput. Math. 52 (1994) 99-107
    • (1994) Int. J. Comput. Math. , vol.52 , pp. 99-107
    • Chawla, M.M.1    Al-Zanaidi, M.A.2    Al-Sahar, M.S.3
  • 7
    • 0029309851 scopus 로고
    • A class of stabilised extended one-step methods for the numerical solution of ODEs
    • Chawla M.M., Al-Zanaidi M.A., and Al-Sahar M.S. A class of stabilised extended one-step methods for the numerical solution of ODEs. Comput. Math. Appl. 29 10 (1995) 79-84
    • (1995) Comput. Math. Appl. , vol.29 , Issue.10 , pp. 79-84
    • Chawla, M.M.1    Al-Zanaidi, M.A.2    Al-Sahar, M.S.3
  • 8
    • 0008495240 scopus 로고    scopus 로고
    • Extended double-stride L-stable methods for the numerical solution of ODEs
    • Chawla M.M., Al-Zanaidi M.A., and Al-Sahar M.S. Extended double-stride L-stable methods for the numerical solution of ODEs. Comput. Math. Appl. 3 3 (1996) 1-6
    • (1996) Comput. Math. Appl. , vol.3 , Issue.3 , pp. 1-6
    • Chawla, M.M.1    Al-Zanaidi, M.A.2    Al-Sahar, M.S.3
  • 9
    • 0001288471 scopus 로고
    • On the integration of stiff systems of ODEs using extended backward differentiation formulae
    • Cash J.R. On the integration of stiff systems of ODEs using extended backward differentiation formulae. Numer. Math. 34 (1980) 235-246
    • (1980) Numer. Math. , vol.34 , pp. 235-246
    • Cash, J.R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.