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ON STABILITY OF THE SCHEME "KREST" FOR 2D MAXWELL EQUATIONS IN CYLINDRICAL COORDINATES

A. A. Solovyev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1985. Вып.2. С. 3-9.

      Stability of the scheme "KREST" is examined for two -dimensional Maxwell equations in cylindrical (z, r) - coorinates using operator inequality method. Sufficient condition of uniform stability is obtained on the basis of initial data in HD - space, generated by a positive self-adjoint D - operator. For a uniform grid the stability criterium is brought up to relation allowing explicit estimation of maximum allowable time step. For inconducting medium this relation is shown to coincide with condition that is necessary for scheme stability in some norm and., therefore, is non - improving.










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