โ Scribed by Z. Tang; S.J. Wang
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract We consider the problem of finding __u__ โ __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying โซ~__I__~ __u__ (__x__ )__x__ d__x__ = __ฮผ__ ~__k__~ , where __k__ = 0, 1, 2, โฆ, (__ฮฑ__ ~__k__~ ) is a sequence of distinct real numbers greater than โ1/2, and **__ฮผ__** = (__ฮผ__ ~__kl__~ ) is a g
## A new algebraic scheme for reverting Laplace transforms of smooth functions is presented. Expansion of the Laplace transform F(s) m descending powers of s is used to construct the Taylor semes of the corresponding time function f(t) This is done through entirely algebraic evaluatmns of F(s) at s
The FFT-based methods of numerical inversion of Laplace transforms use the trapezoidal rule to the Bromwich integral. We present in this paper a technique for reducing the truncation error in evaluating the Bromwich integral. The technique employs the differentiation property of the Laplace transfor