STABILITY OF DIFFERENCE SCHEMES FOR PARABOLIC EQUATIONS IN ARBITRARY NORMS

N. Yu. Bakayev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.2. С. 29-34.

      A number of questions associated with examining stability of difference schemes in arbitrary Banach space is considered. In particular, the property of retaining the scheme stability property is examined with disturbings of the problem operator, and the role of smoothing operators is determined
      Difference schemes for differential equations with operators of a wide (in the sense of practical application) class are discussed as appendices in the рареr.