Abstract-A Time-Domain electromagnetic modeling technique, namely a high-order Scaling Function based MRTD (S-MRTD), can be dramatically accelerated, through its implementation in commodity graphics hardware. This implementation is achieved by mapping the numerical operations of S-MRTD to graphics operations, optimally executed by a graphics card, along the lines of previous work in the area of general purpose computing in computer graphics. The sustained speed-ups achieved, for two-dimensional problems, reach a factor of 30, significantly higher than any speed-ups reported for FDTD so far.