کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9498415 1631197 2005 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stable norms - From theory to applications and back
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Stable norms - From theory to applications and back
چکیده انگلیسی
We begin the paper by discussing several results regarding norm stability, including conditions under which norms on certain algebras are stable. The second part of the paper is devoted to applications, where we employ the notion of norm stability to obtain criteria for the convergence of a well-known family of finite-difference schemes for the initial-value problem associated with the parabolic system∂u(x,t)∂t=∑1⩽j⩽k⩽sAjk∂2u(x,t)∂xj∂xk+∑1⩽j⩽sBj∂u(x,t)∂xj+Cu(x,t),where Ajk, Bj and C are constant matrices, Ajk being Hermitian. The third and last part of the paper deals with the question of stability for subnorms acting on subsets of power-associative algebras that are closed under scalar multiplication and under raising to powers. A subnorm f on such a set S is a real-valued function satisfying f(a) > 0 for all 0≠a∈S, and f(αa) = ∣α∣f(a) for all a∈S and α∈F.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 404, 15 July 2005, Pages 223-250
نویسندگان
,