ISSN:
1573-2878
Keywords:
Laplace transform
;
Laplace transform inversion
;
numerical methods
;
approximation theory
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A function $$\bar f$$ (p) of the Laplace transform operatorp is approximated by a finite linear combination of functions $$\bar \phi $$ (p+α r ), where $$\bar \phi $$ (p) is a specific function ofp having a known analytic inverse φ(t), and is chosen in accordance with various considerations. Then parameters α r ,r=1, 2,...,n, and then corresponding coefficientsA r of the $$\bar \phi $$ (p + α r ) are determined by a least-square procedure. Then, the corresponding approximation to the inversef(t) of $$\bar f$$ (p) is given by analytic inversion of Σ r=1 n A r $$\bar \phi $$ (p+α r ). The method represents a generalization of a method of best rational function approximation due to the author [which corresponds to the particular choice φ(t)≡1], but is capable of yielding considerably greater accuracy for givenn.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00941490
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