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Stability criteria for non-self-adjoint finite differences schemes in the subspaceстатья Электронная публикация
Статья опубликована в высокорейтинговом журнале
Статья опубликована в журнале из списка Web of Science и/или Scopus- Автор: Gulin A.
- Журнал: Applied Numerical Mathematics
- Год издания: 2014
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- DOI: 10.1016/j.apnum.2014.05.005
- Аннотация: The finite differences schemes with weights for the heat conduction equation with nonlocal boundary conditions u(0, t) =0, γ∂u∂x(0, t) =∂u∂x(1, t)are discussed, where γis a given real parameter. On some interval γ∈(γ1, γ2)the spectrum of the differential operator contains three eigenvalues in the left complex half-plane, while the remaining eigenvalues are located in the right half-plane. Earlier only the case of one eigenvalue λ0located in the left half-plane was considered. The stability criteria of finite differences schemes is formulated in the subspace induced by stable harmonics
- Добавил в систему: Гулин Алексей Владимирович