Linear approximation is a method used to estimate the value of a function near a given point using the tangent line at that point. This technique simplifies complex functions into a linear form ...

The next step uses the finite-element method to find an approximation u_FE of the exact solution u_EX. This involves selecting a mesh and elements such as 2D plates, eight-node bricks, p-elements ...

Sets of multivariable functions are described for which worst case errors in linear approximation are larger than those in approximation by neural networks. A theoretical framework for such a ...

These log-linear models are still applicable even with arbitrarily large initial errors, which are very attractive for INS initial alignment. However, in existing works, the log-linear models are all ...

A wide range of empirical applications rely on linear approximations to dynamic Euler equations. Among the most notable of these is the large and growing literature on precautionary saving that ...

We study in detail the log-linear return approximation introduced by Campbell and Shiller (1988a). First, we derive an upper bound for the mean approximation error, given stationarity of the log ...