Convergence of numerical methods for systems of neutral functional-differential-algebraic equations

Abstract

Summary. A general class of numerical methods for solving initia l va l ue prob l ems for neutra l functiona l -differentia l -a l gebraic systems is considered. Necessary and sufficient con ditions under which these methods are consistent with the prob l em are estab l ished. The order of consistency is discussed. A convergence theorem for a genera l c l ass of methods is proved.