Computer science is a young field whic h is undergoing rapid change compared t o more established academic disciplines. This movement has led to a variety o f curricular approaches. Moreover, th e different environments in which compute r science has grown up. and the sundr y research interests of faculties ha s encouraged different courses of study. and… (More)
We review current work in analytic computational complexity of sequential algorithms for partial differential equations. Included are studies which analyze and compare classes of algorithms for hyperbolic, elliptic and parabolic problems. Emphasis is on the criteria and techniques used to perform the analysis and comparisons.
Symbolic computation has been used to generate classes of numeric algorithms for solving linear partial differential equations A two-phase procedure is described for automatically producing multiparameter families of difference approximations to the heat operator. In the first phase, a truncated series expansion is used to form the appropriate difference… (More)