Results 61 to 70 of about 126,693 (204)
DL_FFLUX, which houses the quantum‐topological machine‐learning potential FFLUX, is refactored and computationally optimized through software‐level code optimization and prediction caching. The new implementation accelerates molecular dynamics simulations 93‐fold for the largest models while preserving accuracy.
Mohamadhosein Nosratjoo +2 more
wiley +1 more source
Real zero isolation for trigonometric polynomials
An exact and practical method for determining the number, location, and multiplicity of all real zeros of the trigonometric polynomials is described. All computations can be performed without loss of accuracy.
Achim Schweikard
core +1 more source
Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation
ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa +3 more
wiley +1 more source
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
A note on some extremal problems for trigonometric polynomials [PDF]
n.a.
Dette, Holger, Melas, Viatcheslav B.
core
Neural Network Imputation of the Pitch‐Angle‐Resolved Medium‐Energy Electron Flux Data in LEO
Abstract Pitch‐angle‐resolved electron flux data are crucial for investigating variations in electron flux within the magnetosphere and the underlying mechanisms, such as radial diffusion and wave‐particle interactions. The Medium‐Energy Electron Detector (MEED) onboard the Fengyun‐3E (FY‐3E) satellite in Low Earth Orbit (LEO) provides 18‐directional ...
Jia‐Li Chen +4 more
wiley +1 more source
Refinements on higher order Weil–Oesterlé bounds via a Serre type argument
Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin +2 more
wiley +1 more source
Cones of Hermitian matrices and trigonometric polynomials
This chapter studies cones in the real Hilbert spaces of Hermitian matrices and real valued trigonometric polynomials. Based on an approach using such cones and their duals, it establishes various extension results for positive semidefinite matrices and ...
Hugo J. Woerdeman, Mihály Bakonyi
core +1 more source
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
ABSTRACT This study proposes a quantum computing algorithm for dynamic structural analysis, assuming the use of quantum computers. Specifically, we apply a quantum algorithm known as Hamiltonian Simulation (HS), which calculates the time evolution of the Schrödinger equation with time‐independent coefficients, to the equations of motion governing the ...
Koya Wagatsuma +2 more
wiley +1 more source

