A new class of methods termed group explicit methods is introduced in thistext. Their applications to solve parabolic hyperbolic and elliptic equationsare outli... » 

A new class of methods termed group explicit methods is introduced in thistext. Their applications to solve parabolic hyperbolic and elliptic equationsare outlined and the advantages for their implementation on parallel computersclearly portrayed. Also included are the introductory and fundamental conceptsfrom which the new methods are derived and on which they are dependent. Withthe increasing advent of parallel computing into all aspects of computationalmathematics there is no doubt that the new methods will be widely used. «