Regularization methods for solving differential-algebraic equations

Applied Mathematics and Computation

Volumn 119, Issue 2-3, 2001, Pages 283-296

  Wang, Haiyan ^a,b   Song, Yongzhong ^a  

^a NANJING NORMAL UNIVERSITY   (China)

^b NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

Differential algebraic equations; Index; Regularization method; Stiff ODEs

Indexed keywords

EID: 0040925973     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(99)00250-7     Document Type: Article

References (6)

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3. E. Hairer, C. Lubich, M. Roche, The Numerical Solution of Differential-algebraic Systems by Runge-Kutta Methods, Lecture Notes in Mathematics, Springer, Berlin, 1985.
4. Levin J.J., Levinson N. Singular perturbations of nonlinear systems of differential equations and an associated boundary layer equation. J. Rational Mech. Anal. 3:1954;247-270.
5. Knorrenschild M. Differential/algebraic equations as stiff ordinary differential equations. SIAM J. Numer. Anal. 29:1992;1694-1715.
6. Y. Su, Q. Wu, An Introduction to Numerical Methods for the Singular Perturbation Problems, Chungking Publishing House, Chungking, China, 1991.