On the rate of convergence for parabolic difference schemes, II

Higher Order Derivative Estimates for Finite-difference Schemes for Linear Elliptic and Parabolic Equations

“…Friedrichs and H. Lewy [6], S. Gerschgorin [12], and publications by D.G. Aronson Widlund and many others (see, e.g., [1], [10], [18], [19], [27], [28], [29], [30], [32], [33], [36], [40], [41] and the references there.) We refer also to the review paper [38], handbook [39], and well-known monographs and textbooks for more information on the subject ( [5], [11], [13], [26], [31], [34], [35], [37]).…”

Smoothing of initial data and rates of convergence for parabolic difference equations

“…By correctness and stability one can prove convergence i For any f E !+" we have, uniformly for 0 [121).…”