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Article

Vala, Jiří
On some composite schemes of time integration in structural dynamics. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K., Šístek, J. and Vejchodský, T. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 24-29, 2018. Institute of Mathematics CAS, Prague, 2019. pp. 159-168
MSC: 65D30, 65M20, 74H15 | DOI: 10.21136/panm.2018.17
Keywords:
structural dynamics; time-integration schemes
Summary:
Numerical simulations of time-dependent behaviour of advances structures need the analysis of systems of partial differential equations of hyperbolic type, whose semi-discretization, using the Fourier multiplicative decomposition together with the finite element or similar techniques, leads to large sparse systems of ordinary differential equations. Effective and robust methods for numerical evaluation of their solutions in particular time steps are required; thus still new computational schemes occur in the engineering literature. This paper presents certain classification of such approaches, together with references to their expectable accuracy and some practical applications.
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