Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index-Reference-Cited by-同舟云学术

Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index

Published:2013-07-20 Issue:3 Volume:58 Page:499-516
ISSN:0885-7474
Container-title:Journal of Scientific Computing
language:en
Short-container-title:J Sci Comput

Author:

Huang Can,Zhang Zhimin

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Engineering,Theoretical Computer Science,Software,Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

http://link.springer.com/content/pdf/10.1007/s10915-013-9755-3.pdf

Reference16 articles.

1. Ascher, U., Petzold, L.: Projected collocation for higher-order higher-index differential-algebraic equations. J. Comput. Appl. Math. 43, 243–259 (1992)

2. Ascher, U., Petzold, L.: Computer methods for ordinary differential equations and differential-algebraic equations. SIAM, Philadelphia (1998)

3. Bai, Y.: A perturbed collocation method for boundary value problems in differential-algebraic equations. Appl. Math. Comput. 45, 269–291 (1991)

4. Canuto, C., Hussaini, M., Quarteroni, A., Zang, T.: Spectral Methods: Fundamentals in Single Domains. Springer, Berlin (2006)

5. Cherry, T.: On periodic solutions of Hamiltonian systems of differential equations. Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character 227, 137–221 (1928)

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