On Conservative Difference Schemas,
FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH
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The broadening of the scope of difference methods and the associated increase of demands on them stimulate interest in formulating general principles of obtaining difference schemas of a definite quality for problems of mathematical physics. The possibility of assigning to the same differential equation an infinite set of difference schemas defined on the same template and having the same order of approximation makes the problem of choosing the desired schema a very complex one. It is required of any numerical method that it supply and approximate solution of the problem with preset accuracy epsilon 0 in a finite number of operations. Moreover, it is required that the schema be universal suitable for a rather broad class of problems, homogeneous, stable, and economical more precisely, that the numerical algorithm used to solve the difference equations be economical. Keywords Foreign technology Translations USSR Russian language.
- Theoretical Mathematics