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19922026
most citedObservation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

10.9k citations

Showing 2019 · math.NAShow all

7 papers · 2 filters

math.NA2019★ 1 cited

Analyticity and hp discontinuous Galerkin approximation of nonlinear Schrödinger eigenproblems

Yvon Maday, Carlo Marcati

We study a class of nonlinear eigenvalue problems of Schrödinger type, where the potential is singular on a set of points. Such problems are widely present in physics and chemistry…

math.NA2019★ 10 cited

A Fat boundary-type method for localized nonhomogeneous material problems

Alex Viguerie, Silvia Bertoluzza, Ferdinando Auricchio

Problems with localized nonhomogeneous material properties arise frequently in many applications and are a well-known source of difficulty in numerical simulations. In certain appl…

math.NA2019★ 4 cited

On best constants in approximation

Andrea Bressan, Michael S. Floater, Espen Sande

In this paper we provide explicit upper and lower bounds on certain -widths, i.e., best constants in approximation. We further describe a numerical method to compute…

math.NA2019★ 4 cited

Boundary element methods for acoustic scattering by fractal screens

Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola +1

We study boundary element methods for time-harmonic scattering in () by a fractal planar screen, assumed to be a non-empty bounded subset of the hyperplan…

math.NA2019★ 16 cited

-convergence for high order phase field fracture: continuum and isogeometric formulations

Matteo Negri

We consider second order phase field functionals, in the continuum setting, and their discretization with isogeometric tensor product B-splines. We prove that these functionals, co…

math.NA2019★ 3 cited

Algebraic representation of dual scalar products and stabilization of saddle point problems

Silvia Bertoluzza

We provide a systematic way to design computable bilinear forms which, on the class of subspaces that can be obtained by duality from a given finite di…

math.NA2019★ 2 cited

Structure preserving schemes for Fokker-Planck equations with nonconstant diffusion matrices

N. Loy, M. Zanella

In this work we consider an extension of a recently proposed structure preserving numerical scheme for nonlinear Fokker-Planck-type equations to the case of nonconstant full diffus…