The complexity and detail of mathematical models is rapidly increasing in response to the greater availability of quantitative data generated by experiments. The resulting equations to be solved ...

Fourier analysis and numerical methods have long played a pivotal role in the solution of differential equations across science and engineering. By decomposing complex functions into sums of ...

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...