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 ...

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 ...

SIAM Journal on Numerical Analysis, Vol. 11, No. 5 (Oct., 1974), pp. 1069-1085 (17 pages) This paper concerns a class of update methods, or, as they are also called, quasi-Newton methods, variable ...

We study the effect of numerical quadrature in space on semidiscrete and fully discrete piecewise-linear finite element methods for parabolic integrodifferential ...