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Found 37 Documents (Results 1–37)

Thomas decomposition and nonlinear control systems. (English) Zbl 1451.93171

Quadrat, Alban (ed.) et al., Algebraic and symbolic computation methods in dynamical systems. Based on articles written for the invited sessions of the 5th symposium on system structure and control, IFAC, Grenoble, France, February 4–6, 2013 and of the 21st international symposium on mathematical theory of networks and systems (MTNS 2014), Groningen, the Netherlands, July 7–11, 2014. Cham: Springer. Adv. Delays Dyn. 9, 117-146 (2020).

A strongly consistent finite difference scheme for steady Stokes flow and its modified equations. (English) Zbl 1453.76122

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 20th international workshop, CASC 2018, Lille, France, September 17–21, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11077, 67-81 (2018).

On the general analytical solution of the kinematic Cosserat equations. (English) Zbl 1453.74051

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 18th international workshop, CASC 2016, Bucharest, Romania, September 19–23, 2016. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9890, 367-380 (2016).
MSC:  74K10 74H05 35A30

Thomas decomposition of algebraic and differential systems. (English) Zbl 1202.68488

Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 12th international workshop, CASC 2010, Tsakhkadzor, Armenia, September 6–12, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15273-3/pbk). Lecture Notes in Computer Science 6244, 31-54 (2010).

Applications of the Quillen-Suslin theorem to multidimensional systems theory. (English) Zbl 1197.13011

Park, Hyungju (ed.) et al., Gröbner bases in control theory and signal processing. Papers presented at the D3 workshop, Linz, Austria, May 18–19, 2006. Berlin: Walter de Gruyter (ISBN 978-3-11-019333-6/hbk). Radon Series on Computational and Applied Mathematics 3, 23-106 (2007).
MSC:  13C10 13P99 93B40 47A65 93C23

Involutive algorithms for computing Gröbner bases. (English) Zbl 1104.13012

Cojocaru, Svetlana (ed.) et al., Computational commutative and non-commutative algebraic geometry. Proceedings of the NATO Advanced Research Workshop, Chisinau, Republic of Moldova, June 6–11, 2004. Amsterdam: IOS Press (ISBN 1-58603-505-3/hbk). NATO Science Series III: Computer & Systems Sciences 196, 199-225 (2005).
MSC:  13P10 68W30

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