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Continualization and Discretization

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Abstract

So far we considered oscillations of a single oscillator, or in a language of mechanics, a system of one degree-of-freedom. If there is a lot of oscillators, connected along a certain axis, then a problem of modelling can be reduced to continualization, i.e. there is a possibility of transition from many second-order ordinary differential equations to a single partial differential equation.

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Awrejcewicz, J. (2014). Continualization and Discretization. In: Ordinary Differential Equations and Mechanical Systems. Springer, Cham. https://doi.org/10.1007/978-3-319-07659-1_12

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