Results 111 to 120 of about 210,074 (289)
Numerical inversion of the Laplace transform
Electronics Letters, 1966 In the numerical evaluation of the inverse Laplace transform, the result is marred by Gibbs oscillations in the same way as the inverse complex Fourier transform. Attention is drawn to means by which the representation can be improved and the numerical work eased.
J. R. Reed, N. Mullineux
openaire +2 more sources
Spectrum Reconstruction for Laplace NMR: From Handcraft Regularization to Deep Learning
Chinese Journal of Magnetic ResonanceLaplace NMR can provide information on diffusion coefficients or relaxation time, serving as a powerful technology for studying molecular structure, dynamics, and interactions in samples.
YANG Yu +5 more
doaj +1 more source
Sinc-Approximations of Fractional Operators: A Computing Approach
Mathematics, 2015 We discuss a new approach to represent fractional operators by Sinc approximation using convolution integrals. A spin off of the convolution representation is an effective inverse Laplace transform.
Gerd Baumann, Frank Stenger
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Inverse Laplace Transform for Bi-Complex Variables [PDF]
Mathematical Inverse Problems, vol 1, no 1, 2014, 2014 In this paper we examine the existence of bicomplexied inverse Laplacetransform as an extension of its complexied inverse version within theregion of convergence of bicomplex Laplace transform. In this course weuse the idempotent representation of bicomplex-valued functions as pro-jections on the auxiliary complex spaces of the components of ...
arxiv
Development of an offline and online hybrid model for the Integrated Forecasting System
Quarterly Journal of the Royal Meteorological Society, EarlyView.In this article, we develop a neural network based model‐error correction for the operational Integrated Forecasting System (IFS). The neural network is pre‐trained offline using a dataset of operational analyses and analysis increments and then online using a new variant of weak‐constraint 4D‐Var.
Alban Farchi +3 more
wiley +1 more source
The two-sided Laplace transformation over the Cayley-Dickson algebras and its applications [PDF]
J. Mathem. Sci. 2009, 2006 This article is devoted to the noncommutative version of the Laplace transformation. New types of the direct and inverse transformations of the Laplace type over general Cayley-Dickson algebras, in particular, also the skew field of quaternions and the octonion algebra are investigated. Examples are given.
arxiv
Simple Heterogeneous Step‐Stress Accelerated Life Testing Model Under Type II Censoring
Quality and Reliability Engineering International, EarlyView.ABSTRACT Common step‐stress accelerated life testing (SSALT) models assume that all testing items are sampled from a homogeneous population. However, this is often not the case in practice. Practitioners observe inhomogeneous aging patterns among items of the same production batch. This work proposes a simple SSALT model with exponentially distributed,
Yao Lu, Maria Kateri
wiley +1 more source
MathematicsA new numerical method for solving Volterra linear convolution integral equations (CVIEs) of the second kind is presented in this work. This new approach uses first-order infinite impulse response digital filters method (IIRFM). Three convolutive kernels
Rodolphe Heyd
doaj +1 more source
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform. [PDF]
Sci Rep, 2020 Kim AS.
europepmc +1 more source
International Journal of Robust and Nonlinear Control, EarlyView.ABSTRACT In privacy protection of control systems, a trade‐off between control performance and privacy level is often pointed out. Our goal in this paper is to improve this trade‐off by shaping the frequency of noise added for privacy protection when the control objective is to track a reference signal, which is taken as a piece of information whose ...
Rintaro Watanabe +3 more
wiley +1 more source