Results 11 to 20 of about 21,203 (171)
A Generalization of the Wiener-Hopf Integral Equation [PDF]
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Heins, Albert E., Wiener, Norbert
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Exact calculation of the mean first-passage time of continuous-time random walks by nonhomogeneous Wiener–Hopf integral equations [PDF]
We study the mean first-passage time (MFPT) for asymmetric continuous-time random walks in continuous-space characterised by waiting-times with finite mean and by jump-sizes with both finite mean and finite variance.
Marcus Dahlenburg, G. Pagnini
semanticscholar +1 more source
Operational Quadrature Methods for Wiener-Hopf Integral Equations [PDF]
We study the numerical solution of Wiener-Hopf integral equations by a class of quadrature methods which lead to discrete Wiener-Hopf equations, with quadrature weights constructed from the Fourier transform of the kernel (or rather, from the Laplace transforms of the kernel halves).
Eggermont, P. P. B., Lubich, Ch.
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Preconditioners for Wiener--Hopf Equations with High-Order Quadrature Rules
We consider solving the Wiener--Hopf equations with high-order quadrature rules by preconditioned conjugate gradient (PCG) methods. We propose using convolution operators as preconditioners for these equations. We will show that with the proper choice of
F. Lin, M. Ng, R. Chan
semanticscholar +1 more source
A comprehensive technology platform enables high‐fidelity, volumetric MALDI imaging of 3D cell cultures by integrating custom embedding molds, a semi‐automated computational framework for 3D reconstruction, voxel‐instead of pixel‐based biomarker discovery, and immersive mixed reality data exploration.
Stefania Alexandra Iakab +16 more
wiley +1 more source
In Hyphomicrobium denitrificans, the use of thiosulfate as a supplemental electron donor is regulated by two homologous sulfane‐sulfur responsive ArsR‐type transcriptional repressors, sHdrR and SoxR, that act cooperatively. Remarkably, the regulation by sHdrR/SoxR extends far beyond sulfur oxidation and deeply affects anaerobic metabolism, particularly
Jingjing Li +3 more
wiley +1 more source
The Dynamics of Fast and Slow Earthquake Ruptures in Viscoelastic Materials
Abstract Classical theories using linear elasticity predict that crack propagation asymptotically approaches a limiting speed, beyond which the energy balance becomes unphysical. However, geophysical and laboratory observations show that ruptures can propagate at either a very low, stable speed or a significantly high speed.
Huihui Weng
wiley +1 more source
On a Wiener-Hopf Integral Equation
The author considers the following problem: determine the positive sequence \(\{E_n\}\) satisfying the infinite discrete system \[ \sin \left( {\pi \over 4} + \theta \right) \sum_{n = 0}^\infty {E_n \over \beta_n - \theta} + \sin \left( {\pi \over 4} - \theta \right) \sum^\infty_{n = 0} {E_n \over \beta_n + \theta} = \sqrt 2 {\sin \theta \over \theta} \
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Abstract Studies of cold‐active enzymes may elucidate the basis for low‐temperature activity and contribute to their wider application in energy‐efficient processes. Here we investigate the cold‐active GH2 β‐galactosidase from the psychrophilic bacterium Alkalilactibacillus ikkensis (AiLac).
Jan S. Nowak +9 more
wiley +1 more source
On the Inhomogeneous Conservative Wiener–Hopf Equation
The paper deals with the inhomogeneous Wiener-Hopf equation of the form \[ z(x) = \int_{-\infty}^x z(x-y)F(dy) +f(x), \quad x>0. \tag{1} \] In (1), \(z\) is an unknown function, \(F\) is a given distribution and \(f\) is a known function. In this paper, the existence of a solution to (1) is proved in the case where the kernel is a probability ...
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