Results 51 to 60 of about 4,676,398 (193)
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$\lambda ...
Paolo Rossi +2 more
wiley +1 more source
ABSTRACT This study proposes a quantum computing algorithm for dynamic structural analysis, assuming the use of quantum computers. Specifically, we apply a quantum algorithm known as Hamiltonian Simulation (HS), which calculates the time evolution of the Schrödinger equation with time‐independent coefficients, to the equations of motion governing the ...
Koya Wagatsuma +2 more
wiley +1 more source
Possibilities of classical trigonometric Fourier series are substantially limited in 2-D and 3-D boundary value problems. Boundary conditions of such problems for areas with curvilinear boundaries often fails when using the classical Fourier series.
Victor L Leontiev
doaj +1 more source
Fourier Series Formalization in ACL2(r) [PDF]
We formalize some basic properties of Fourier series in the logic of ACL2(r), which is a variant of ACL2 that supports reasoning about the real and complex numbers by way of non-standard analysis.
Cuong K. Chau +2 more
doaj +1 more source
Convergence of Hermite expansions in modulation spaces
Abstract The aim of this paper is to give an elementary proof that the Hermite expansion of a function f$f$ in the modulation space Mp(R)$M^p({\mathbb {R}})$ converges to f$f$ in Mp(R)$M^p({\mathbb {R}})$ when 1
Philippe Jaming, Michael Speckbacher
wiley
On Weighted Integrability of Trigonometric Series and L 1 -Convergence of Fourier Series [PDF]
A result concerning integrability of f ( x ) L ( 1 / x ) ( g ( x ) L ( 1 / x ) ) f(x)L(1/x)(g(x)L(1/x)) , where f ( x ) (
Bray, William O. +1 more
openaire +1 more source
New Drain Spacing Formulas Using the Variational Iteration Method
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas +2 more
wiley +1 more source
Finite Fourier series. The class of trigonometric splines
10 pages, 3 ...
Volodymyr Denysiuk, Lyudmila Rybachuk
openaire +3 more sources
A Convergent Fourier Spectral Galerkin Method for the Fractional Camassa–Holm Equation
ABSTRACT We analyze a Fourier spectral Galerkin method for the fractional Camassa–Holm (fCH) equation involving a fractional Laplacian of exponent α∈[1,2]$$ \alpha \in \left[1,2\right] $$ with periodic boundary conditions. The semi‐discrete scheme preserves both mass and energy invariants of the fCH equation.
Mukul Dwivedi, Andreas Rupp
wiley +1 more source
Equiconvergence of expansions in multiple trigonometric Fourier series and Fourier integral with "Jk-lacunary sequences of rectangular partial sums" [PDF]
We give a review of recent results on equiconvergence of expansions in multiple trigonometric Fourier series and Fourier integral in the case of summation over ...
Bloshanskii, Igor L., Grafov, Denis A.
core +1 more source

