Results 71 to 80 of about 11,641,731 (252)

The Laplace transform in discrete fractional calculus [PDF]

open access: yes, 2011
We develop properties of the Laplace Transform in a discrete, fractional calculus setting, giving a precise treatment to convergence along the way.
Holm, Michael T., Michael T. Holm
core   +1 more source

Synchronization‐Performance‐Oriented Frequency‐Domain Iterative Learning Control for Wafer and Reticle Stages

open access: yesAsian Journal of Control, EarlyView.
ABSTRACT The synchronization accuracy between the wafer stage and reticle stage in lithography is critical to overlay and critical dimension uniformity. Existing iterative learning control (ILC) methods indirectly optimize synchronization via time‐domain errors, failing to balance low‐frequency tracking accuracy and high‐frequency noise suppression ...
Xin Zhou   +4 more
wiley   +1 more source

The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation

open access: yesAdvances in Mathematical Physics
The paper proposes a method to solve the time fractional Fokker–Planck equation using the generalized Hermite spectral method and Laplace transform. By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient ...
Lu-feng Yang
doaj   +1 more source

Generalization of the effective Wiener-Ikehara theorem [PDF]

open access: yes, 2013
International audienceWe consider the classical Wiener–Ikehara Tauberian theorem, with a generalized condition of slow decrease and some additional poles on the boundary of convergence of the Laplace transform.
Roton, Anne de   +2 more
core   +1 more source

Application of dynamic modelling and model‐based predictive control to enhance a cooling tower

open access: yesThe Canadian Journal of Chemical Engineering, EarlyView.
Model predictive control (MPC) applied to improve the operation of cooling towers. Abstract Model predictive control (MPC) differs from traditional feedback control by making predictions within a time horizon, providing better control actions for the process.
Douglas de Almeida Giardini   +4 more
wiley   +1 more source

INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]

open access: yes
This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core  

Large parameter asymptotic analysis for homogeneous normalized random measures with independent increments

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract Homogeneous normalized random measures with independent increments represent a broad class of Bayesian nonparametric priors and thus are widely used. In this article, we obtain the strong law of large numbers, the central limit theorem (CLT), and the functional central limit theorem (fCLT) of such measures when the concentration parameter a ...
Junxi Zhang, Shui Feng, Yaozhong Hu
wiley   +1 more source

Calculating multivariate ruin probabilities via Gaver–Stehfest inversion technique. [PDF]

open access: yes
Multivariate characteristics of risk processes are of high interest to academic actuaries. In such models, the probability of ruin is obtained not only by considering initial reserves u but also the severity of ruin y and the surplus before ruin x.
Usábel, Miguel A.
core  

Mitigating measurement error in misspecified small area models

open access: yesCanadian Journal of Statistics, EarlyView.
Abstract In the framework of Small area estimation, we consider an area‐level model where a subset of covariates is measured with error. The extent of the error is assumed to be constant throughout the areas, and it is expressed by a scalar parameter γ$$ \gamma $$, which multiplies the deterministic covariance matrix of the estimator of the true ...
Diego Battagliese   +3 more
wiley   +1 more source

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