Stable Numerical Solution for a Class of Structured Differential-Algebraic Equations by Linear Multistep Methods

Author:

Linh Vu HoangORCID,Truong Nguyen Duy

Funder

NAFOSTED

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference16 articles.

1. Ascher, U., Petzold, L.R.: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. SIAM, Philadelphia (1998)

2. Brenan, K.E., Campbell, S.L., Petzold, L.R.: Numerical Solution of Initial-Value Problems in Differential Algebraic Equations. SIAM, Philadelphia (1996)

3. Bulatov, M.V., Linh, V.H., Solovarova, L.S.: On BDF-based multistep schemes for some classes of linear differential-algebraic equations of index at most 2. Acta Math. Vietnam. 41(4), 715–730 (2016)

4. Dokchan, R.: Numerical Integration of Differential-Algebraic Equations with Harmless Critical Point. Ph.D. thesis Humboldt-University of Berlin (2011)

5. Hairer, E., Nørsett, S.P., Wanner, G.: Solving Ordinary Differential Equations. I. Nonstiff Problems, 2nd edn. Springer, Berlin (1993)

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