On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. Here, and elsewhere in this paper, we leave limits of x-integration and summation unspecified, to be interpreted according to the nature of the initial data no(x) and its domain of definition D.