Results 41 to 50 of about 4,101,445 (240)

On the parallel solution of parabolic equations [PDF]

, 1989
Parallel algorithms for the solution of linear parabolic problems are proposed. The first of these methods is based on using polynomial approximation to the exponential. It does not require solving any linear systems and is highly parallelizable. The two
Gallopoulos, E., Saad, Youcef
core   +2 more sources

Multidomain Spectral Method for the Helically Reduced Wave Equation [PDF]

, 2007
We consider the 2+1 and 3+1 scalar wave equations reduced via a helical Killing field, respectively referred to as the 2-dimensional and 3-dimensional helically reduced wave equation (HRWE). The HRWE serves as the fundamental model for the mixed-type PDE
Adams, Alpert, Andrade, Baker, Beckman, Beetle, Boyd, Bromley, Bîlă, Campanelli, Campanelli, Caughey, Chaohao, Coutsias, Coutsias, Demmel, Ern, Ern, Frankl, Friedrichs, Hagstrom, Hagstrom, Hesthaven, Katsanis, Katsanis, Kelley, Lau, Liu, Morawetz, Morawetz, Morawetz, Murman, Murman, Otway, Pfeiffer, Pretorius, Price, Protter, Protter, Richard H. Price, Rivlin, Scheel, Stephen R. Lau, Thompson, Torre, Torre, Tricomi, von Winckel, Whelan, Whelan   +49 more
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The number of zeros of Abelian integrals for a perturbation of a hyper-elliptic Hamiltonian system with a nilpotent center and a cuspidal loop

Electronic Journal of Qualitative Theory of Differential Equations, 2017
In this paper we consider the number of isolated zeros of Abelian integrals associated to the perturbed system $\dot{x}=y,\ \dot{y}=-x^3(x-1)^2+\varepsilon (\alpha+\beta x+ \gamma x^3)y$, where $\varepsilon >0$ is small and $\alpha,\,\beta,\,\gamma \in ...
Ali Atabaigi
doaj   +1 more source

Relative Chebyshev centers in normed linear spaces, I

Journal of Approximation Theory, 1980
AbstractLet E be a normed linear space, A a bounded set in E, and G an arbitrary set in E. The relative Chebyshev center of A in G is the set of points in G best approximating A. We have obtained elsewhere general results characterizing the spaces in which the center reduces to a singleton in terms of structural properties related to uniform and strict
Amir, Dan, Ziegler, Zvi
openaire   +2 more sources

Gonchar-Stahl's $\rho^2$-theorem and associated directions in the theory of rational approximation of analytic functions

, 2015
Gonchar-Stahl's $\rho^2$-theorem characterizes the rate of convergence of best uniform (Chebyshev) rational approximations (with free poles) for one basic class of analytic functions.
Rakhmanov, E. A.
core   +1 more source

Parallel eigensolvers in plane-wave Density Functional Theory [PDF]

, 2014
We consider the problem of parallelizing electronic structure computations in plane-wave Density Functional Theory. Because of the limited scalability of Fourier transforms, parallelism has to be found at the eigensolver level.
Levitt, Antoine, Torrent, Marc
core   +3 more sources

Asymptotic Chebyshev centers

Journal of Approximation Theory, 1989
The author studies properties of the set-valued map \(P_ M: B_{\infty}(X)\to M\cap B(X)\), where B(X) is the space of all nonempty bounded subsets of a normed linear space X with the Hausdorff metric h, \(B_{\infty}(X)\) is the metric space of all sequences \(\{C_ n\}\) of subsets \(C_ n\subset B(X)\) such that the union of \(C_ n\) is a bounded subset
openaire   +1 more source

Chebyshev centers and fixed point theorems

Journal of Mathematical Analysis and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Rajesh, P. Veeramani
openaire   +2 more sources

An adaptive pseudo-spectral method for reaction diffusion problems [PDF]

, 1987
The spectral interpolation error was considered for both the Chebyshev pseudo-spectral and Galerkin approximations. A family of functionals I sub r (u), with the property that the maximum norm of the error is bounded by I sub r (u)/J sub r, where r is an
Bayliss, A., Gottlieb, D., Matkowsky, B. J., Minkoff, M.   +3 more
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Synthesis and Measurement of a Circular-Polarized Deflection OAM Vortex Beam With Sidelobe Suppression Array

IEEE Access, 2020
In this paper, a chamfer distribution antenna array is designed to generate a deflecting circular-polarized vortex beam carrying orbital angular momentum (OAM) mode.
Jun Liang, Zhongliang Jing, Qiang Feng, Yushan Zheng, Long Li   +4 more
doaj   +1 more source