Results 31 to 40 of about 2,924,633 (320)
Automatic rational approximation and linearization of nonlinear eigenvalue problems [PDF]
IMA Journal of Numerical Analysis, 2018 We present a method for solving nonlinear eigenvalue problems (NEPs) using rational approximation. The method uses the Antoulas–Anderson algorithm (AAA) of Nakatsukasa, Sète and Trefethen to approximate the NEP via a rational eigenvalue problem.
Pieter Lietaert +3 more
semanticscholar +1 more source
Algorithms and error bounds for multivariate piecewise constant approximation [PDF]
, 2010 We review the surprisingly rich theory of approximation of functions of many vari- ables by piecewise constants. This covers for example the Sobolev-Poincar´e inequalities, parts of the theory of nonlinear approximation, Haar wavelets and tree ...
Davydov, Oleg
core +1 more source
Implementing nonlinear Compton scattering beyond the local-constant-field approximation [PDF]
Physical Review A, 2017 In the calculation of probabilities of physical processes occurring in a background classical field, the local-constant-field approximation (LCFA) relies on the possibility of neglecting the space-time variation of the external field within the region of
A. Piazza +4 more
semanticscholar +1 more source
Nonlinear Approximation Using Gaussian Kernels [PDF]
, 2010 It is well-known that non-linear approximation has an advantage over linear schemes in the sense that it provides comparable approximation rates to those of the linear schemes, but to a larger class of approximands.
Hangelbroek, Thomas, Ron, Amos
core +3 more sources
Justification of the log-KdV equation in granular chains: the case of precompression [PDF]
, 2014 For travelling waves with nonzero boundary conditions, we justify the logarithmic Korteweg-de Vries equation as the leading approximation of the Fermi-Pasta-Ulam lattice with Hertzian nonlinear potential in the limit of small anharmonicity.
Dumas, Eric, Pelinovsky, Dmitry
core +3 more sources
Nonlinear Methods for Model Reduction
, 2020 The usual approach to model reduction for parametric partial differential equations (PDEs) is to construct a linear space $V_n$ which approximates well the solution manifold $\mathcal{M}$ consisting of all solutions $u(y)$ with $y$ the vector of ...
Bonito, Andrea +5 more
core +1 more source
Nonlinear magnetic response of the magnetized vacuum to applied electric field [PDF]
, 2012 We find first nonlinear correction to the field, produced by a static charge at rest in a background constant magnetic field. It is quadratic in the charge and purely magnetic.
Gitman, Dmitry M., Shabad, Anatoly E.
core +2 more sources
Nonlinear quasi-normal modes: uniform approximation
Journal of High Energy Physics, 2023 Recent works have suggested that nonlinear (quadratic) effects in black hole perturbation theory may be important for describing a black hole ringdown.
Bruno Bucciotti +3 more
doaj +1 more source
Journal of Electrical and Computer Engineering, 2017 According to the pros and cons of contourlet transform and multimodality medical imaging, here we propose a novel image fusion algorithm that combines nonlinear approximation of contourlet transform with image regional features.
Hui Huang, Xi'an Feng, Jionghui Jiang
semanticscholar +1 more source
Mathematics, 2019 The B-spline function representation is commonly used for data approximation and trajectory definition, but filter-based methods for nonlinear weighted least squares (NWLS) approximation are restricted to a bounded definition range.
Jens Jauch +3 more
doaj +1 more source