Academic Journal

Discretization of solutions to Poisson's equation in the Korobov class.

التفاصيل البيبلوغرافية
العنوان: Discretization of solutions to Poisson's equation in the Korobov class.
المؤلفون: Kudaibergenov, S.1 svetamath88@mail.ru, Sabitova, S.1 sabit-59@mail.ru
المصدر: Computational Mathematics & Mathematical Physics. Jul2013, Vol. 53 Issue 7, p896-907. 12p.
مصطلحات موضوعية: *POISSON'S equation, *FINITE differences, *DISCRETIZATION methods, *POISSON'S ratio, *POISSON integral formula
مستخلص: A sharp discretization error estimate on the power scale is obtained for the solution of Poisson's equation with a right-hand side from the Korobov class with the application of Smolyak grid nodes. In some cases, the results coincide in the order of the upper error estimate with earlier results of other authors, but the discretization operator proposed is simpler. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:09655425
DOI:10.1134/S0965542513070166