Results 31 to 40 of about 5,139 (262)

Qualitative approximation of solutions to discrete Volterra equations

Electronic Journal of Qualitative Theory of Differential Equations, 2018
We present a new approach to the theory of asymptotic properties of solutions to discrete Volterra equations of the form \begin{equation*} \Delta^m x_n=b_n+\sum_{k=1}^{n}K(n,k)f(k,x_{\sigma(k)}). \end{equation*} Our method is based on using the iterated
Malgorzata Migda, Janusz Migda
doaj   +1 more source

Uniformly convergent schemes for singularly perturbed differential equations based on collocation methods

International Journal of Mathematics and Mathematical Sciences, 2000
It is well known that a polynomial-based approximation scheme applied to a singularly perturbed equation is not uniformly convergent over the geometric domain of study.
Dialla Konate
doaj   +1 more source

Analysis of approximate factorization in iteration methods [PDF]

Applied Numerical Mathematics, 1998
The article is concerned with stiff systems of ordinary differential equations arising from spiritual discretization of time- and space-dependent partial differential equations. Since numerical solvers for corresponding initial value problems must necessarily be implicit for stability reasons, a large system of equations has to be solved in each time ...
Eichler-Liebenow, C., van der Houwen, P. J., Sommeijer, B. P.   +2 more
openaire   +1 more source

Optimal energy-efficiency beamforming design for SWIPT-enabled sink in sensor cloud based on deep learning

Tongxin xuebao, 2021
To solve the problems of high complexity and poor real-time performance caused by traditional wireless resource management based on optimization methods, the energy efficiency maximization problem of sink node and its mathematical model were established ...
Zhe WANG, Taoshen LI, Lina GE, Guifen ZHANG, Min WU   +4 more
doaj   +2 more sources

Modifying iterated Laplace approximations

, 2015
In this paper, several modifications are introduced to the functional approximation method iterLap to reduce the approximation error, including stopping rule adjustment, proposal of new residual function, starting point selection for numerical optimisation, scaling of Hessian matrix. Illustrative examples are also provided to show the trade-off between
Mai, Tiep, Wilson, Simon
openaire   +2 more sources

In situ molecular organization and heterogeneity of the Legionella Dot/Icm T4SS

FEBS Letters, EarlyView.
We present a nearly complete in situ model of the Legionella Dot/Icm type IV secretion system, revealing its central secretion channel and identifying new components. Using cryo‐electron tomography with AI‐based modeling, our work highlights the structure, variability, and mechanism of this complex nanomachine, advancing understanding of bacterial ...
Przemysław Dutka, Yuxi Liu, Stefano Maggi, Debnath Ghosal, Jue Wang, Prashant P. Damke, Stephen D. Carter, Wei Zhao, Sukhithasri Vijayrajratnam, Joseph P. Vogel, Carrie L. Shaffer, Grant J. Jensen   +11 more
wiley   +1 more source

Approximation by Symmetrized and Perturbed Hyperbolic Tangent Activated Convolution-Type Operators

Mathematics
In this article, for the first time, the univariate symmetrized and perturbed hyperbolic tangent activated convolution-type operators of three kinds are introduced.
George A. Anastassiou
doaj   +1 more source

Structural insights into an engineered feruloyl esterase with improved MHET degrading properties

FEBS Letters, EarlyView.
A feruloyl esterase was engineered to mimic key features of MHETase, enhancing the degradation of PET oligomers. Structural and computational analysis reveal how a point mutation stabilizes the active site and reshapes the binding cleft, expading substrate scope.
Panagiota Karampa, Konstantinos Makryniotis, Theofani‐Iosifina Sousani, Evangelos Topakas, Vangelis Daskalakis, Maria Dimarogona   +5 more
wiley   +1 more source

Revisiting semileptonic B meson decays at next-to-next-to-leading order

Journal of High Energy Physics, 2023
We compute next-to-next-to-leading order corrections to the semileptonic decay rate of B mesons for arbitrary values of the final-state quark mass. For the contribution with one massive quark in the final state, we extend the literature result and obtain
Manuel Egner, Matteo Fael, Kay Schönwald, Matthias Steinhauser   +3 more
doaj   +1 more source

Fast approximate reciprocal approximations for iterative algorithms

, 2020
The reciprocal function, 1/x, is important for many real-time algorithms. It is used in a large variety of algorithms from areas ranging from iterative estimation to machine learning. Many of these algorithms are iterative in nature and require the online computation of the reciprocal.
Lunglmayr, Michael, Ploder, Oliver
openaire   +2 more sources