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We perform numerical experiments to compare these methods with the second-order backward differentiation method, commonly recommended for ordinary differential equations with constraints.
The proposed formulation is based on the implicit differentiation method (IDM), where the boundary integral equations are differentiated analytically with respect to the design variables.
To differentiate the cells, a slight modification of directed cardiac differentiation method was used as previously described [ 30].
S.J.Y., R.M.M. and S.P.P. developed the differentiation method.
Rhesus cardiomyocytes derived by our stepwise differentiation method express signature cardiac markers and show normal electrochemical coupling.
The sensitivities of the limit state function are calculated through the direct differentiation method.
A differentiation method of analysis of impedance spectra has been presented.
The adaptive spatial differentiation method is considered as well as the adaptation of grid resolutions.
A novel differentiation method is then developed and compared to a classical one.
Due to the time-dependent deformation process the direct differentiation method has been implemented.
The design sensitivity is analyzed by using direct differentiation method and adjoint variables method.
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