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

Authors:
  • TJTadeusz Jankowski
    Tadeusz Jankowski
  • MKMarian Kwapisz
    Marian Kwapisz
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Abstract
A general class of numerical methods for solving initial value problems for neutral functional-differential-algebraic systems is considered. Necessary and sufficient conditions under which these methods are consistent with the problem are established. The order of consistency is discussed. A convergence theorem for a general class of methods is proved.