Results 71 to 80 of about 163,678 (245)
Hybrid Microtubule–Solid‐State Nanopores for Single‐Molecule Analysis
ELECTROPHORESIS, EarlyView.Nanopores electrically detect molecules during translocation, but short passage times limit resolution. By anchoring a microtubule to a solid‐state nanopore, this hybrid system significantly prolongs DNA translocation while enabling simultaneous measurement of microtubule electrical properties, advancing nanoscale sensing and bioelectronic ...
Matthew O'Donohue +7 more
wiley +1 more source
On the Evaluation of Bessel Functions
Applied and Computational Harmonic Analysis, 1993 The author presents an algorithm for the evaluation of Bessel functions \(J_ \nu(x)\), \(Y_ \nu(x)\) and \(H_ \nu^{(j)}(x)\) \((j=1,2)\) of arbitrary positive orders and arguments. This algorithm consists of two parts: One of them combines the evaluation of the function \(H_ \nu^{(1)}(x)\) via Taylor expansions and via numerical computation of the ...
openaire +2 more sources
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
doaj +1 more source
A limit theorem for singular stochastic differential equations
Modern Stochastics: Theory and Applications, 2016 We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
doaj +1 more source
Alternative Price Dynamics and Valuation of Flexible Strategies
International Journal of Finance &Economics, EarlyView.ABSTRACT In this article, we study the optimal operational strategy of production projects. We investigate different underlying price models and determine the optimal barriers of transition to suspension, recovery, or irreversible abandonment of productive activity.
Cristina Bertolosi +2 more
wiley +1 more source
Accurate Analytical Approximation for the Bessel Function J2(x)
Mathematical and Computational ApplicationsWe obtain an accurate analytic approximation for the Bessel function J2(x) using an improved multipoint quasirational approximation technique (MPQA). This new approximation is valid for all real values of the variable x, with a maximum absolute error of ...
Pablo Martin +3 more
doaj +1 more source
Journal of Marine Science and Engineering, 2019 By using the two-frequency coherence function model of a beam in a turbulent medium and the localized wave theory of the polychromatic beam, we develop the spectrum average mutual coherence function of the localized wave of Bessel−Gaussian ...
Shibao Deng, Yun Zhu, Yixin Zhang
doaj +1 more source
Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory. [PDF]
Heliyon, 2023 Munasinghe RM.
europepmc +1 more source
Laser &Photonics Reviews, EarlyView.This review summarizes recent progress in meta‐photonics with a focus on bound states in the continuum (BICs) as a powerful platform for light confinement and control. It covers fundamental concepts, design strategies across optical regimes, symmetry breaking for practical quasi‐BICs, tunable and AI‐assisted BIC devices, and emerging applications in ...
Hafiz Saad Khaliq, Hak‐Rin Kim
wiley +1 more source