Multipole expansion of Bessel and Gaussian beams for Mie scattering calculations [PDF]
Multipole expansions of Bessel and Gaussian beams, suitable for use in Mie scattering calculations, are derived. These results allow Mie scattering calculations to be carried out considerably faster than existing methods, something that is of particular ...
Love, G.D +3 more
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Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S +15 more
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Infrared singularities in multi-leg scattering amplitudes [PDF]
I discuss the state-of-the-art knowledge of long-distance singularities in multi-leg gauge-theory scattering amplitudes and report on an on-going calculation of the three-loop soft anomalous dimension through the renormalization of correlators of semi ...
Einan Gardi, Gardi, Einan; id_orcid
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An ALE ESFEM for solving PDEs on evolving surfaces [PDF]
Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662) +3 more
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A Super-Algebraically Convergent, Windowing-Based Approach to the Evaluation of Scattering from Periodic Rough Surfaces [PDF]
We introduce a new second-kind integral equation method to solve direct rough surface scattering problems in two dimensions. This approach is based, in part, upon the bounded obstacle scattering method that was originally presented in Bruno et al. [2004]
Monro, John Anderson
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General introduction to "KAM for PDEs"
It is well known that the phase space of a finite dimensional integrable system is filled by invariant tori; KAM theory ensures that most of them persist under small perturbation.
Bambusi, Dario
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Many partial differential equations arising in Physics can be seen as innite dimensional Hamiltonian systems. Main examples are the nonlinear Schrodinger (NLS) and wave (NLW) equations, the beam, membrane and Kirkhoff equations in elasticity theory, the ...
BERTI, MASSIMILIANO
core
The Strong and Weak Senses of Theory-Ladenness of Experimentation: Theory-Driven versus Exploratory Experiments in the History of High-Energy Particle Physics [PDF]
In the theory-dominated view of scientific experimentation, all relations of theory and experiment are taken on a par; namely, that experiments are performed solely to ascertain the conclusions of scientific theories.
Karaca, Koray
core
We survey new existence and stability results of quasi-periodic solutions for ...
BERTI, MASSIMILIANO
core
Nonlinear Vibrations and Potential Instabilities of a Nanochassis Traveling a Route with Arbitrarily Tiny Irregularities. [PDF]
Xie B, Wu K, Nikkhoo A.
europepmc +1 more source

