On the Stability of Discretizations
نویسنده
چکیده
Various types of stability are introduced in DEFINITION 2. A one-parameter family of discretizations, {B(k)}, is said to be (1) stable if and only if for any T>0 there exist positive constants C and ko such that ||S(fe)|| g C for all 00 and all positive integers n. (4) uniformly strictly stable if and only if there exists a positive constant C such tha t ||S(fe)|| g C for all positive k and nonnegative integers n. 1 This research was supported in part by NSF Grant GP-5553.
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