منابع مشابه
Laplace transformation updated
The traditional theory of Laplace transformation (TLT) as it was put forward by Gustav Doetsch was principally intended to provide an operator calculus for ordinary derivable functions of the t-domain. As TLT does not account for the behavior of the inverse L-transform at t = 0 its validity is essentially confined to t > 0. However, from solutions of linear differential equations (DEs) one can ...
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Based on recent results for 2-D continuous-discrete systems, this paper develops 2-D Laplace-z transform, which can be used to analyze 2-D continuous-discrete signals and system in Laplace-z hybrid domain. Current 1-D Laplace transformation and z transform can be combined into the new 2-D s-z transform. However, 2-D s-z transformation is not a simple extension of 1D transform, in 2-D case, we n...
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The paper presents the impedance measurement method using a real-life step pulse as a perturbation signal and Laplace transformation as a tool for analyzing the response of the object under test. The method is addressed to explore different technical object (like anticorrosion coatings, gas sensors, ceramics, dielectrics biological tissues etc.) when the measurement time cannot be long. The pre...
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this thesis deals essentially (but not from all aspects) with the extension of the notion of semigroup compactification and the construction of a general theory of semitopological nonaffine (affine) transformation semigroup compactifications. it determines those compactification which are universal with respect to some algebric or topological properties. as an application of the theory, it is i...
15 صفحه اولLaplace Transformation Method for the Black-scholes Equation
In this paper we apply the innovative Laplace transformation method introduced by Sheen, Sloan, and Thomée (IMA J. Numer. Anal., 2003) to solve the Black-Scholes equation. The algorithm is of arbitrary high convergence rate and naturally parallelizable. It is shown that the method is very efficient for calculating various option prices. Existence and uniqueness properties of the Laplace transfo...
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ژورنال
عنوان ژورنال: Physics Today
سال: 1963
ISSN: 0031-9228,1945-0699
DOI: 10.1063/1.3050755