Results 31 to 40 of about 148,179 (227)
Fast algorithms for Quadrature by Expansion I: Globally valid expansions
, 2017 The use of integral equation methods for the efficient numerical solution of PDE boundary value problems requires two main tools: quadrature rules for the evaluation of layer potential integral operators with singular kernels, and fast algorithms for ...
Klöckner, Andreas +2 more
core +1 more source
Perfectly invisible $\mathcal{PT}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry [PDF]
, 2017 We investigate a special class of the $\mathcal{PT}$-symmetric quantum models being perfectly invisible zero-gap systems with a unique bound state at the very edge of continuous spectrum of scattering states.
Guilarte, Juan Mateos +1 more
core +4 more sources
Algebraization in Stability Problem for Stationary Waves of the Klein-Gordon Equation
East European Journal of Physics, 2019 Nonlinear traveling waves of the Klein-Gordon equation with cubic nonlinearity are considered. These waves are described by the nonlinear ordinary differential equation of the second order having the energy integral.
Nataliia Goloskubova, Yuri Mikhlin
doaj +1 more source
Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods
, 2019 We define and analyze (local) multilevel diagonal preconditioners for isogeometric boundary elements on locally refined meshes in two dimensions. Hypersingular and weakly-singular integral equations are considered.
Führer, Thomas +3 more
core +1 more source
Correlation estimates for sums of three cubes [PDF]
, 2015 We establish estimates for linear correlation sums involving sums of three positive integral cubes. Under appropriate conditions, the underlying methods permit us to establish the solubility of systems of homogeneous linear equations in sums of three ...
Bruedern, Joerg, Wooley, Trevor D.
core +5 more sources
Electromagnetic wave scattering by small bodies
, 2008 A reduction of the Maxwell's system to a Fredholm second-kind integral equation with weakly singular kernel is given for electromagnetic (EM) wave scattering by one and many small bodies.
A.G. Ramm +13 more
core +5 more sources
FEBS Letters, EarlyView.Cryptochrome and PAS/LOV proteins play intricate roles in circadian clocks where they act as both sensors and mediators of protein–protein interactions. Their ubiquitous presence in signaling networks has positioned them as targets for small‐molecule therapeutics. This review provides a structural introduction to these protein families.
Eric D. Brinckman +2 more
wiley +1 more source
Variations for Some Painlev\'e Equations [PDF]
, 2019 This paper first discusses irreducibility of a Painlev\'e equation $P$. We explain how the Painlev\'e property is helpful for the computation of special classical and algebraic solutions.
Acosta-Humánez, Primitivo B. +2 more
core +2 more sources
AxiomsThis study introduces two novel methodologies for solving systems of Fredholm integral equations, with particular emphasis on second-kind equations. The first method integrates the Sinc-collocation technique with a newly developed singular exponential ...
Saeed Althubiti, Abdelaziz Mennouni
doaj +1 more source
Molecular Oncology, EarlyView.Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice +16 more
wiley +1 more source