Results 41 to 50 of about 80,701 (242)

Regularized Inversion of Noisy Laplace Transforms

Advances in Applied Mathematics, 1994
The authors construct a sequence of regularized inverses of the Laplace transform by relating this transform to a convolution operator for functions on the group of the positive real numbers with multiplication. Noisy Laplace transforms arise in a wide variety of practical problems, for example in system theory and statistics.
Chauveau, D.E., Rooij, A.C.M. van, Ruymgaart, F.H.   +2 more
openaire   +3 more sources

Characterization of Droplet Formation in Ultrasonic Spray Coating: Influence of Ink Formulation Using Phase Doppler Anemometry and Machine Learning

Advanced Materials Technologies, EarlyView.
This study explores how machine learning models, trained on small experimental datasets obtained via Phase Doppler Anemometry (PDA), can accurately predict droplet size (D32) in ultrasonic spray coating (USSC). By capturing the influence of ink complexity (solvent, polymer, nanoparticles), power, and flow rate, the model enables precise droplet control
Pieter Verding, Danny E. P. Vanpoucke, Yunus T. Aksoy, Tobias Corthouts, Maria R. Vetrano, Wim Deferme   +5 more
wiley   +1 more source

Solution of Differential Equations with Polynomial Coefficients with the Aid of an Analytic Continuation of Laplace Transform

Mathematics, 2016
In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

A MATLAB program for the computation of the confluent hypergeometric function Φ2 [PDF]

, 2016
We here present a sample MATLAB program for the numerical evaluation of the confluent hypergeometric function Φ2. This program is based on the calculation of the inverse Laplace transform using the algorithm suggested by Simon and Alouini in their ...
Lopez-Martinez, F. Javier, Martos-Naya, Eduardo, Paris-Angel, Jose Francisco, Romero-Jerez, Juan Manuel   +3 more
core  

Structural Eigenmodes of the Brain to Improve the Source Localization of EEG: Application to Epileptiform Activity

Advanced Science, EarlyView.
Geometry and connectivity are complementary structures, which have demonstrated their ability to represent the brain's functional activity. This study evaluates geometric and connectome eigenmodes as biologically informed constraints for EEG source localization.
Pok Him Siu, Philippa J. Karoly, Sina Mansour L., Artemio Soto‐Breceda, Levin Kuhlmann, Mark J. Cook, David B. Grayden   +6 more
wiley   +1 more source

Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting

, 2003
We study the asymptotic form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1.
Aganagic, Aganagic, Bryan, Candelas, Chiang, Eguchi, Fulton, Gopakumar, Gopakumar, Gopakumar, Iqbal, Iqbal, Katz, Kazuhiro Sakai, Klemm, Klemm, Konishi, Marino, Nakajima, Nekrasov, Nekrasov, Seiberg, Seiberg, Yukiko Konishi, Zhou   +24 more
core   +1 more source

Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain

Advanced Science, EarlyView.
A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio, Tommaso Gili, Andrea Gabrielli, Maurizio Mattia   +3 more
wiley   +1 more source

Solutions of linear multi-dimensional fractional order Volterra integral equations [PDF]

, 2016
In this paper, the aim studying this topic is to extend the study of the one-dimensional fractional to the multi-dimensional fractional integral equations and their applications.
Ahmood, Wasan Ajeel, Kilicman, Adem
core  

A modal approach for the solution of the non-linear induction problem in ferromagnetic media

, 2016
The non-linear induction problem in ferromagnetic media is solved using the fixed-point iteration method, where the linearized problem at each iteration is treated by means of a modal approach.
Skarlatos, Anastassios, Theodoulidis, Theodoros   +1 more
core   +1 more source

Solid Harmonic Wavelet Bispectrum for Image Analysis

Advanced Science, EarlyView.
The Solid Harmonic Wavelet Bispectrum (SHWB), a rotation‐ and translation‐invariant descriptor that captures higher‐order (phase) correlations in signals, is introduced. Combining wavelet scattering, bispectral analysis, and group theory, SHWB achieves interpretable, data‐efficient representations and demonstrates competitive performance across texture,
Alex Brown, Mathilda Avirett‐Mackenzie, Carolin Villforth, Georgios Exarchakis   +3 more
wiley   +1 more source