Results 21 to 30 of about 1,565,423 (283)

Spectral Methods for Determining the Stability and Noise Performance of Passively Modelocked Lasers

Nanophotonics, 2016
We describe spectral or dynamical methods that can be used to determine the stability and noise performance of modelocked lasers.We first review methods that have been used to date to theoretically and computationally study passively modelocked lasers ...
Menyuk Curtis R., Wang Shaokang
doaj   +1 more source

APPLICATION OF SPECTRAL AND DISPERSION TECHNIQUES AT THE DECAMETER WAVELENGTHS FOR DETERMINATION OF SOLAR WIND PARAMETERS

Radio Physics and Radio Astronomy, 2014
Some features of application of spectral and dispersion techniques for determination of solar wind parameters from the interplanetary scintillations data of cosmic radio sources at the decameter wavelengths are described.
M. R. Olyak, N. N. Kalinichenko, A. A. Konovalenko, A. I. Brazhenko   +3 more
doaj   +1 more source

Spectral Methods for Numerical Relativity. The Initial Data Problem [PDF]

, 1999
Numerical relativity has traditionally been pursued via finite differencing. Here we explore pseudospectral collocation (PSC) as an alternative to finite differencing, focusing particularly on the solution of the Hamiltonian constraint (an elliptic ...
Finn, Lee Samuel, Kidder, Lawrence E.
core   +2 more sources

Well-posedness and stability analysis of hybrid feedback systems using Shkalikov's theory [PDF]

Opuscula Mathematica, 2006
The modern method of analysis of the distributed parameter systems relies on the transformation of the dynamical model to an abstract differential equation on an appropriately chosen Banach or, if possible, Hilbert space.
Piotr Grabowski
doaj  

Calculation of Generalized Polynomial-Chaos Basis Functions and Gauss Quadrature Rules in Hierarchical Uncertainty Quantification [PDF]

, 2014
Stochastic spectral methods are efficient techniques for uncertainty quantification. Recently they have shown excellent performance in the statistical analysis of integrated circuits.
Daniel, Luca, El-Moselhy, Tarek A., Elfadel, M., Ibrahim, Zhang, Zheng   +4 more
core   +2 more sources

Spectral Methods from Tensor Networks

, 2018
A tensor network is a diagram that specifies a way to "multiply" a collection of tensors together to produce another tensor (or matrix). Many existing algorithms for tensor problems (such as tensor decomposition and tensor PCA), although they are not ...
Anandkumar Animashree, Learning, Pita R. Gil   +2 more
core   +1 more source

Fatigue Overview of Ship Structures under Induced Wave Loads

Journal of Marine Science and Engineering
Fatigue damage represents a key failure mode in ship structures. Such damage typically begins at vulnerable points in the structure, like welded joints, stress concentration areas, and cracks. Cyclic loading, particularly from waves, encountered by ships
Pasqualino Corigliano, Federico Frisone, Claudia Chianese, Marco Altosole, Vincenzo Piscopo, Antonio Scamardella   +5 more
doaj   +1 more source

A Fast Galerkin Approach for Solving the Fractional Rayleigh–Stokes Problem via Sixth-Kind Chebyshev Polynomials

Mathematics, 2022
Herein, a spectral Galerkin method for solving the fractional Rayleigh–Stokes problem involving a nonlinear source term is analyzed. Two kinds of basis functions that are related to the shifted sixth-kind Chebyshev polynomials are selected and utilized ...
Ahmed Gamal Atta, Waleed Mohamed Abd-Elhameed, Galal Mahrous Moatimid, Youssri Hassan Youssri   +3 more
doaj   +1 more source

A Polynomial Spectral Calculus for Analysis of DG Spectral Element Methods

, 2017
We introduce a polynomial spectral calculus that follows from the summation by parts property of the Legendre-Gauss-Lobatto quadrature. We use the calculus to simplify the analysis of two multidimensional discontinuous Galerkin spectral element ...
A.D. Beck, C. Altmann, C. Canuto, C. Canuto, D. Stanescu, D.A. Kopriva, D.A. Kopriva, D.A. Kopriva, D.A. Kopriva, D.A. Kopriva, D.A. Kopriva, G. Gassner, G. Gassner, G.J. Gassner, G.J. Gassner, H.M. Frank, K. Black, K. Black, Z. Xie   +18 more
core   +1 more source

On the limits of spectral methods for frequency estimation [PDF]

, 2004
An algorithm is presented which generates pairs of oscillatory random time series which have identical periodograms but differ in the number of oscillations.
Rossberg, A. G.
core   +4 more sources