Stability and accuracy for implicit semidiscretizations of hyperbolic problems
The author uses the order star technique to derive the bounds for the error constants of certain classes of stable implicit finite difference methods for first order hyperbolic equations in one space dimension. In some cases, the previously known results concerning the error constant of interpolatory methods are improved. The results obtained in the first part of the paper are used to determine methods of optimal order that are stable.
scientific article; zbMATH DE number 3986569
scientific article