Results 21 to 30 of about 3,264,185 (285)

Solving of the Inverse Boundary Value Problem for the Heat Conduction Equation in Two Intervals of Time

Algorithms, 2023
The boundary value problem, BVP, for the PDE heat equation is studied and explained in this article. The problem declaration comprises two intervals; the (0, T) is the first interval and labels the heating of the inside burning chamber, and the second (T,
Bashar Talib Al-Nuaimi, H.K. Al-Mahdawi, Zainalabideen Albadran, Hussein Alkattan, Mostafa Abotaleb, El-Sayed M. El-kenawy   +5 more
doaj   +1 more source

Constructive quantization: approximation by empirical measures [PDF]

, 2011
In this article, we study the approximation of a probability measure $\mu$ on $\mathbb{R}^{d}$ by its empirical measure $\hat{\mu}_{N}$ interpreted as a random quantization. As error criterion we consider an averaged $p$-th moment Wasserstein metric.
Dereich, Steffen, Scheutzow, Michael, Schottstedt, Reik   +2 more
core   +3 more sources

Explicit Integrating Factor Runge–Kutta Method for the Extended Fisher–Kolmogorov Equation

Mathematical and Computational Applications, 2023
The extended Fisher–Kolmogorov (EFK) equation is an important model for phase transitions and bistable phenomena. This paper presents some fast explicit numerical schemes based on the integrating factor Runge–Kutta method and the Fourier spectral method ...
Yanan Wang, Shuying Zhai
doaj   +1 more source

A Space-Time Finite Element Method for the Fractional Ginzburg–Landau Equation

Fractal and Fractional, 2023
A fully discrete space-time finite element method for the fractional Ginzburg–Landau equation is developed, in which the discontinuous Galerkin finite element scheme is adopted in the temporal direction and the Galerkin finite element scheme is used in ...
Jincun Liu, Hong Li, Yang Liu
doaj   +1 more source

A two-grid mixed finite volume element method for nonlinear time fractional reaction-diffusion equations

AIMS Mathematics, 2022
In this paper, a two-grid mixed finite volume element (MFVE) algorithm is presented for the nonlinear time fractional reaction-diffusion equations, where the Caputo fractional derivative is approximated by the classical L1-formula.
Zhichao Fang, Ruixia Du , Hong Li , Yang Liu   +3 more
doaj   +1 more source

Heavy-light decay constants---MILC results with the Wilson action [PDF]

, 1997
We present the current status of our ongoing calculations of pseudoscalar meson decay constants for mesons that contain one light and one heavy quark (f_B, f_{B_s}, f_D, f_{D_s}).
A. Soni, Bernard, Bob Sugar, Brown, Carleton Detar, Claude Bernard, Craig McNeile, Doug Toussaint, Flynn, Hernandez, Jim Hetrick, Kari Rummukainen, Lepage, Matthew Wingate, Richman, Steven Gottlieb, Thomas A. Degrand, Tom Blum, Urs M. Heller   +18 more
core   +2 more sources

General error estimate for adiabatic quantum computing

, 2006
Most investigations devoted to the conditions for adiabatic quantum computing are based on the first-order correction ${\bra{\Psi_{\rm ground}(t)}\dot H(t)\ket{\Psi_{\rm excited}(t)} /\Delta E^2(t)\ll1}$. However, it is demonstrated that this first-order
A. M. Childs, D. Aharonov, Gernot Schaller, L. D. Landau, M. A. Nielsen, N. D. Birrell, Ralf Schützhold, Sarah Mostame, W. H. Press, W. M. Kaminsky   +9 more
core   +1 more source

Time reversal in thermoacoustic tomography - an error estimate [PDF]

, 2009
The time reversal method in thermoacoustic tomography is used for approximating the initial pressure inside a biological object using measurements of the pressure wave made on a surface surrounding the object.
Agranovsky M, Courant R, Egorov Y V, Evans L C, Finch D, Finch D, Fink M, Fink M, Hristova Y, Lions J L, Lions J L, Nguyen L, Nirenberg L, Patch S, Pauen R, Ralston J, Taylor Michael E, Vainberg B R, Wang L V, Yulia Hristova   +19 more
core   +1 more source

A quasi-boundary value regularization method for the spherically symmetric backward heat conduction problem

Open Mathematics, 2023
In this article, we investigate a spherically symmetric backward heat conduction problem, starting from the final temperature. This problem is severely ill posed: the solution (if it exists) does not depend continuously on the final data.
Cheng Wei, Liu Yi-Liang
doaj   +1 more source

A posteriori error estimation and adaptivity in stochastic Galerkin FEM for parametric elliptic PDEs: beyond the affine case [PDF]

, 2006
We consider a linear elliptic partial differential equation (PDE) with a generic uniformly bounded parametric coefficient. The solution to this PDE problem is approximated in the framework of stochastic Galerkin finite element methods.
Bespalov, Alex, Xu, Feng
core   +5 more sources