engleski

Computer-Aided Computation of Asymptotic Exspansions in Nonlinear Homogenisation Problems with Memory Effects

Homogenisation problems which introduce memory effects are difficult, and despite three decades of research, the available results are still restricted to particular types of equations. For nonlinear equations, only the method of asymptotic expansion shows some promise for success, in particular by a posibility to reduce complicated integrals to graphs. We shall present algorithms developed to facilitate this manipulation, and produce both graphs and formulae with multiple integrals needed in this research.

Homogenisation; Memory Effects; Asymptotic Exspansion; Nonlinear

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