STABILITY OF DIFFERENCE SCHEMES FOR PARABOLIC EQUATIONS IN ARBITRARY NORMS. PART I

N. Yu. Bakaev
VANT. Ser. Metodiki i Programmy Chislennogo Resheniya Zadach Matematicheskoy Fiziki 1987. Вып.1. С. 69-75.

      The paper studies the issues related to difference scheme stability for abstract parabolic equations in Banach space norms. Sufficient stability conditions are obtained for schemes with fixed and variable operators.