Search Results - Approximation by arbitrary nonlinear expressions

Extrapolation of perturbation-theory expansions by self-similar approximants by GLUZMAN, S., YUKALOV, V.I.

“… The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated…”
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Lower bounds for the error decay incurred by coarse quantization schemes by Krahmer, Felix, Ward, Rachel

“…Several analog-to-digital conversion methods for bandlimited signals used in applications, such as ΣΔ quantization schemes, employ coarse quantization coupled…”
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A Closed-Form Expression for the Gaussian Noise Model in the Presence of Inter-Channel Stimulated Raman Scattering Extended for Arbitrary Loss and Fibre Length by Buglia, H., Jarmolovicius, M., Vasylchenkova, A., Sillekens, E., Galdino, L., Killey, R. I., Bayvel, P.

“…A closed-form formula for the nonlinear interference (NLI) estimation using the Gaussian noise (GN…”
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Achievable Information Rate in Nonlinear WDM Fiber-Optic Systems With Arbitrary Modulation Formats and Dispersion Maps by Secondini, Marco, Forestieri, Enrico, Prati, Giancarlo

“… format and detection strategy is addressed. An approximate solution of the nonlinear Schrödinger equation is adopted to obtain an accurate analytical discrete-time channel model, valid for arbitrary link configurations and modulation formats…”
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Analysis of Best Linear Approximation of a Wiener-Hammerstein System for Arbitrary Amplitude Distributions by Hin Kwan Wong, Schoukens, J., Godfrey, K. R.

“… In this paper, theoretical expressions for determining this bias for Wiener-Hammerstein systems are developed both for binary input signals and for white noise inputs with arbitrary probability distribution…”
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Numerical approximation of the fractional Laplacian on R using orthogonal families by Cayama, Jorge, Cuesta, Carlota M., de la Hoz, Francisco

“… Then, after studying the asymptotic behavior of the resulting expressions, we discuss the numerical difficulties in their implementation, and develop a method using arbitrary-precision arithmetic…”
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Multiphoton absorption with Laguerre-Gaussian beams by Kessi, Ferhat

“… We first established a rigorous theoretical framework by deriving analytical expressions describing the behavior of the Open Z-scan normalized optical transmittance for an arbitrary nth-order…”
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Weakly nonlinear analysis of localized bulging of an inflated hyperelastic tube of arbitrary wall thickness by Ye, Yang, Liu, Yang, Fu, Yibin

“…•Near-critical analysis is carried out for localized bulging of an inflated hyperelastic tube of arbitrary thickness using the exact theory of nonlinear elasticity…”
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A generalized weak-scatterer approximation for nonlinear wave–structure interaction in marine hydrodynamics by Tong, Chao, Shao, Yanlin, Bingham, Harry B., Hanssen, Finn-Christian W.

“…In this paper, a generalized weak-scatterer (GWS) approximation is proposed for solving nonlinear wave…”
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A Closed-Form Expression for the Gaussian Noise Model in the Presence of Raman Amplification by Buglia, Henrique, Jarmolovicius, Mindaugas, Galdino, Lidia, Killey, Robert I., Bayvel, Polina

“…A closed-form model for the nonlinear interference (NLI) in Raman amplified links is presented, the formula accounts for both forward (FW) and backward (BW…”
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A Closed-Form Approximation of the Gaussian Noise Model in the Presence of Inter-Channel Stimulated Raman Scattering by Semrau, Daniel, Killey, Robert I., Bayvel, Polina

“…An accurate, closed-form expression evaluating the nonlinear interference (NLI) power in coherent optical transmission systems in the presence of inter-channel stimulated Raman scattering (ISRS) is derived…”
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A Modified Bayesian Filter for Randomly Delayed Measurements by Singh, Abhinoy Kumar, Date, Paresh, Bhaumik, Shovan

“… Pursuing this objective, traditional Bayesian approximation to nonlinear filtering problem is modified by reformulating the expressions of mean and covariances which appear during the measurement…”
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Electrokinetic energy conversion of power-law fluids in a slit nanochannel beyond Debye-Hückel linearization by Xie, Zhiyong, Jian, Yongjun

“… Electrical potential distribution is considered without Debye-Hückel linear approximation. The general analytical expressions of flow velocity and streaming potential are obtained for arbitrary power-law behavior indexes…”
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An efficient approximation algorithm for the nonlinear reaction: diffusion equations in an electro catalytic thin film models using Hosoya polynomials by Bhuvaneswari, M., Vinoba, V., Hariharan, G.

“…–diffusion equations. Analytical expressions are established to the nonlinear reaction–diffusion equation arising in electro catalytic thin film with an arbitrary shape models using the Hosoya polynomials…”
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Adaptive Fuzzy Finite-Time Tracking Control of Stochastic High-Order Nonlinear Systems With a Class of Prescribed Performance by Fu, Zhumu, Wang, Nan, Song, Shuzhong, Wang, Tong

“…) are utilized due to the approximation ability of any unknown continuous functions with arbitrary approximation errors…”
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A Gurson-type criterion for porous ductile solids containing arbitrary ellipsoidal voids—II: Determination of yield criterion parameters by Madou, Komlanvi, Leblond, Jean-Baptiste

“…The aim of this paper is to fully determine the parameters of the approximate homogenized yield criterion for porous ductile solids containing arbitrary ellipsoidal cavities proposed in Part…”
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A generalized Derjaguin approximation for electrical-double-layer interactions at arbitrary separations by Schnitzer, Ory, Morozov, Matvey

“…Derjaguin's approximation provides the electrical-double-layer interaction force between two arbitrary convex surfaces as the product of the corresponding one-dimensional parallel-plate interaction…”
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Nonlinear absorption with Hermite-Gaussian beams by Kessi, Ferhat

“…This study develops a theoretical model to describe nonlinear absorption in Z-scan experiments for arbitrary nonlinearity order n and incident Hermite-Gaussian beam profiles…”
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Gagliardo–Nirenberg inequalities in regular Orlicz spaces involving nonlinear expressions by Kałamajska, Agnieszka, Krbec, Miroslav

“… We show that the above inequality implies its certain nonlinear variant involving the expressions ∫ R n H ( | u | ) μ ( d x ) and ∫ R n J ( | ∇ ( 2 ) u | ) μ ( d x…”
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Lossless Path-Averaged Enhanced Gaussian Noise Model Orienting Nonlinear Interference Estimation in Multi-Arbitrary Fiber Spans by Ge, Peiyun, Xi, Lixia, Wang, Yichao, Fang, Zili, Duan, Jiale, He, Kehan, Zhang, Wenbo, Zhang, Xiaoguang

“…) model, consequently inducing simple general closed-form expression for swift precise nonlinear interference estimation in optical transmission system with multi…”
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