𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Sparse Approximation of Singularity Functions

✍ Scribed by Pál-Andrej Nitsche

Publisher
Springer
Year
2003
Tongue
English
Weight
316 KB
Volume
-1
Category
Article
ISSN
0176-4276

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Uniform approximation to fractional deri
Uniform approximation to fractional derivatives of functions of algebraic singularity
✍ Takemitsu Hasegawa; Hiroshi Sugiura 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 528 KB

Five-term recurrence relation a b s t r a c t Fractional derivative D q f (x) (0 < q < 1, 0 ≤ x ≤ 1) of a function f (x) is defined in terms of an indefinite integral involving f (x). For functions of algebraic singularity f (x) = x α g(x) (α > -1) with g(x) being a well-behaved function, we propose

Efficient computation of sparse approxim
Efficient computation of sparse approximate inverses
✍ Thomas K. Huckle 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 101 KB 👁 2 views

We investigate different methods for computing a sparse approximate inverse M for a given sparse matrix A by minimizing AM -E in the Frobenius norm. Such methods are very useful for deriving preconditioners in iterative solvers, especially in a parallel environment. We compare different strategies f

Moduli of smoothness and best approximat
Moduli of smoothness and best approximation of functions with singularities
✍ M. Ganzburg 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 621 KB

Error estimates for approximation of functions ~ox,a,0 (x) = ~x,~,l (x) + i~ox,a,2 (X) = [x[)~exp (iA[x[-°'), A > 0, a :> 0, A e R are given. Let E(f,B, Lp(f~)) denote the error of approximation of f by elements from B in the Lp-metric. Then, it is shown that for polynomial approximation E(~,a,l,Pr,

Piecewise rational approximation to cont
Piecewise rational approximation to continuous functions with characteristic singularities
✍ J. Illán 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 428 KB

Let H/' [a,b] be the class of continuous functions in the interval [a, b], which admit analytic continuation to H p in the subintervals of a v-subdivition of [a,b]. Let S,,.,.[a,b] be the set of piecewise rational functions which have pieces of degree n and no more than v breakpoints. The paper deal

Characterization of Temperature Function
Characterization of Temperature Functions with Isolated Singularity
✍ Soon-Yeong Chung; Dohan Kim 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 277 KB

## Abstract Every temperature function with an isolated singularity can be represented as a sum of a temperature function without singularity and an infinite sum of derivatives of a Green function. This generalizes the result of WIDDER on the characterization of positive temperature functions.