Results 41 to 50 of about 4,597 (168)

Error estimate and superconvergence of a high-accuracy difference scheme for 2D heat equation with nonlocal boundary conditions

AIMS Mathematics
In this work, we initially construct an implicit Euler difference scheme for a two-dimensional heat problem, incorporating both local and nonlocal boundary conditions.
Liping Zhou , Yumei Yan, Ying Liu
doaj   +1 more source

Dispersion-Theoretical Analysis of the Nucleon Electromagnetic Formfactors

, 1995
Dispersion relations allow for a coherent description of the nucleon electromagnetic form factors measured over a large range of momentum transfer, $Q^2 \simeq 0 \ldots 35$ GeV$^2$.
Aguilar-Benitez, Akerlof, Albrecht, Albrecht, Arnold, Barkov, Bartel, Berger, Bernard, Blatnik, Borkowski, Bosted, Bosted, Brodsky, Brodsky, Brown, Bruins, Chew, Ciulli, D. Drechsel, Drell, Dubnicka, Dubnicka, Dunning, Eden, Federbush, Foldy, Frazer, Frazer, Frazer, Furuichi, Furuichi, Galster, Gari, Gari, Gari, Gasser, Genz, Gounaris, Grein, Grein, Grein, Grein, Hughes, Höhler, Höhler, Höhler, Höhler, Höhler, Höhler, Jaffe, Jakob, Jansens, Kirk, Koester, Kopecky, Kroll, Körner, Leeb, Lung, Meyerhoff, Milner, Oehme, P. Mergell, Platchkov, Rock, Sabba-Stefanescu, Sakurai, Simon, Simon, Stein, Ulf-G. Meißner, Walker, Walker, Woodward   +74 more
core   +1 more source

Superconvergence Points of Fractional Spectral Interpolation [PDF]

SIAM Journal on Scientific Computing, 2016
We investigate superconvergence properties of the spectral interpolation involving fractional derivatives. Our interest in this superconvergence problem is, in fact, twofold: when interpolating function values, we identify the points at which fractional derivatives of the interpolant superconverge; when interpolating fractional derivatives, we locate ...
Zhao, Xuan, Zhang, Zhimin
openaire   +3 more sources

A Conforming Least Squares Approach for the Numerical Approximation of Parabolic Equations

PAMM, Volume 25, Issue 4, December 2025.
ABSTRACT We propose a least squares formulation for the numerical approximation of parabolic partial differential equations, which minimizes the residual of the equation using the natural L2(0,T;H−1(Ω))$L^2(0,T;H^{-1}(\Omega))$ norm. In particular, we avoid making regularity assumptions on the problem's data.
Michael Hinze, Christian Kahle, Michael Stahl   +2 more
wiley   +1 more source

Stable higher order finite-difference schemes for stellar pulsation calculations

, 2013
Context: Calculating stellar pulsations requires a sufficient accuracy to match the quality of the observations. Many current pulsation codes apply a second order finite-difference scheme, combined with Richardson extrapolation to reach fourth order ...
Reese, D. R.
core   +2 more sources

Improved Numerical Robustness of the X‐FFT Solver via Internal Scaling

PAMM, Volume 25, Issue 4, December 2025.
ABSTRACT The recently introduced X‐FFT solver improves the spatial accuracy of FFT‐based homogenization methods for two‐dimensional thermal homogenization problems without compromising their numerical efficiency. Through the use of an X‐FEM discretization, optimal error convergence rates of the discretization error are achieved, and the developed X‐FFT
Flavia Gehrig, Matti Schneider
wiley   +1 more source

Superconvergence of Jacobi–Gauss-Type Spectral Interpolation [PDF]

Journal of Scientific Computing, 2013
This paper addresses the superconvergence phenomenon of orthogonal polynomial interpolation, building on the previous work by \textit{Z. Zhang} [SIAM J. Numer. Anal. 50, No. 6, 2966--2985 (2012; Zbl 1262.65020)]. First, the superconvergence points for derivatives of general Jacobi-Gauss-type interpolants are identified from the interpolation error ...
Wang, Li-Lian, Zhao, Xiaodan, Zhang, Zhimin   +2 more
openaire   +2 more sources

A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT The approximate deconvolution Leray reduced order model (ADL‐ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under‐resolved numerical simulation of convection‐dominated flows, ADL‐ROM was shown to be significantly more stable than the standard ROM and more accurate ...
Ian Moore, Anna Sanfilippo, Francesco Ballarin, Traian Iliescu   +3 more
wiley   +1 more source

A second–order approximation scheme for Caputo–Hadamard derivative and its application in fractional Allen–Cahn equation

Communications in Analysis and Mechanics
In light of the advantages of the Caputo–Hadamard fractional derivative in characterizing ultra-slow diffusion phenomena, this paper proposes a second-order approximation scheme to approximate it.
Luhan Sun, Zhen Wang, Yabing Wei
doaj   +1 more source

Shocks, superconvergence, and a stringy equivalence principle

Journal of High Energy Physics, 2020
We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on the shock ordering — in other words, coincident gravitational shocks ...
Murat Koloğlu, Petr Kravchuk, David Simmons-Duffin, Alexander Zhiboedov   +3 more
doaj   +1 more source