Newmark's method deals with second order differential equation in the time domain.(adsbygoogle = window.adsbygoogle || []).push({});

The equation is of the type

M*xddot + C*xdot + K*x = F(t) (1)

Now suppose to have a GENERIC system:

A*xddot + B*xdot + D*x = G(t) (2)

where A,B,C are nonsingular matrices. A is NOT necessarily positive definite as the mass matrix in equation (1). If I apply Newmark's method in equation (2), would I have stability? What are the conditions to have stability in equation (2)? Do you know good references? I applied equation (2) to my case with success, but I like to know what is the mathematics behind it. Thank you

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# Nemark's method. Question

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