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Volumn 39, Issue 3-4, 2000, Pages 247-257

The vector form of a sixth-order A-stable explicit one-step method for stiff problems

Author keywords

Numerical analysis; Numerical solution of ordinary differential equations; Numerical stability; Stiff system

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; ERRORS; MATRIX ALGEBRA; THEOREM PROVING; VECTORS;

EID: 0034140908     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0898-1221(99)00349-1     Document Type: Article
Times cited : (19)

References (12)
  • 1
    • 0032068436 scopus 로고    scopus 로고
    • A sixth-order A-stable explicit one-step method for stiff systems
    • X.Y. Wu, A sixth-order A-stable explicit one-step method for stiff systems, Computers Math. Applic. 35 (9), 59-64, (1998).
    • (1998) Computers Math. Applic. , vol.35 , Issue.9 , pp. 59-64
    • Wu, X.Y.1
  • 3
  • 7
    • 0344799642 scopus 로고
    • Rational Runge-Kutta methods for solving systems of ordinary differential equations
    • A. Wambecq, Rational Runge-Kutta methods for solving systems of ordinary differential equations, Computing 20, 333-342, (1978).
    • (1978) Computing , vol.20 , pp. 333-342
    • Wambecq, A.1
  • 8
    • 84968509237 scopus 로고
    • Acceleration techniques for iterated vector and matrix
    • P. Wynn, Acceleration techniques for iterated vector and matrix, Math. Comp. 16, 301-322, (1962).
    • (1962) Math. Comp. , vol.16 , pp. 301-322
    • Wynn, P.1
  • 9
    • 0002904201 scopus 로고
    • Unconditionally stable explicit methods for parabolic equations
    • E. Hairer, Unconditionally stable explicit methods for parabolic equations, Numer. Math. 35, 57-68, (1980).
    • (1980) Numer. Math. , vol.35 , pp. 57-68
    • Hairer, E.1
  • 11
    • 0002116965 scopus 로고
    • Differential equations and dynamical systems
    • Springer-Verlag
    • L. Perko, Differential equations and dynamical systems, In Applied Mathematics, Vol. 7, pp. 1-26, Springer-Verlag, (1991).
    • (1991) Applied Mathematics , vol.7 , pp. 1-26
    • Perko, L.1
  • 12
    • 0002862526 scopus 로고
    • Stiff systems of ordinary differential equations
    • CRC Press
    • R.P. Fedorenko, Stiff systems of ordinary differential equations, In Numerical Mathematics and Applications, pp. 117-123, CRC Press, (1994).
    • (1994) Numerical Mathematics and Applications , pp. 117-123
    • Fedorenko, R.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.