While I do spend lots of time pushing the idea of linear approximations on my students, we do need nonlinear functions to describe most interesting physical phenomena.

Using the Girsanov transformation we derive estimates for the accuracy of piecewise approximations for one-sided and two-sided boundary crossing probabilities. We demonstrate that piecewise linear ...

Approximation Theory and Operators in Functional Spaces Publication Trend The graph below shows the total number of publications each year in Approximation Theory and Operators in Functional Spaces.