Wavelet Calculus and Finite Difference Operators
نویسندگان
چکیده
منابع مشابه
Calculus and Finite Difference Operators
This paper shows that the naturally induced discrete differentiation operators induced from a wavelet-Galerkin finite-dimensional approximation to a standard function space approximates differentiation with an error of order 0(h2d+2), where d is the degree of the wavelet system. The degree of a wavelet system is defined as one less than the degree of the lowest-order nonvanishing moment of the ...
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This paper shows that the naturally induced discrete diierentia-tion operators induced from a wavelet-Galerkin nite-dimensional approximation to a standard function space approximates diierentiation with an error of order O(h 2d+2), where d is the degree of the wavelet system. The degree of a wavelet system is deened as one less than the degree of the lowest order non-vanishing moment of the fu...
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where A : D(A) ⊆H →H , α : D(α) ⊆H →H , and β : D(β) ⊆H →H are maximal monotone operators in the real Hilbert space H (satisfying some specific properties), a, b are given elements in the domain D(A) of A, f ∈ L2(0,T ;H), and p,r : [0,T] → R are continuous functions, p(t) ≥ k > 0 for all t ∈ [0,T]. Particular cases of this problem were considered before in [9, 10, 12, 15, 16]. If p ≡ 1, r ≡ 0, ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1994
ISSN: 0025-5718
DOI: 10.2307/2153567