Results 31 to 40 of about 3,900,571 (293)

Accurate error estimation in CG [PDF]

open access: yesNumerical Algorithms, 2021
In practical computations, the (preconditioned) conjugate gradient (P)CG method is the iterative method of choice for solving systems of linear algebraic equations $Ax=b$ with a real symmetric positive definite matrix $A$. During the iterations it is important to monitor the quality of the approximate solution $x_k$ so that the process could be stopped
Gérard Meurant, Jan Papez, Petr Tichý
openaire   +3 more sources

Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions [PDF]

open access: yes, 2013
A semilinear second-order parabolic equation is considered in a regular and a singularly perturbed regime. For this equation, we give computable a posteriori error estimates in the maximum norm.
Linss, Torsten, Kopteva, Natalia
core   +4 more sources

The Effect Of Interface Type On Visual Error Checking Behavior [PDF]

open access: yes, 2015
During data entry tasks, small errors can result in catastrophe, for instance adding an extra zero to a drug dose when programming an infusion in a hospital. For this reason understanding users’ error checking behavior is highly important.
Cox, Anna L.   +9 more
core   +1 more source

A Regularization Method to Solve a Cauchy Problem for the Two-Dimensional Modified Helmholtz Equation

open access: yesMathematics, 2019
In this paper, the ill-posed problem of the two-dimensional modified Helmholtz equation is investigated in a strip domain. For obtaining a stable numerical approximation solution, a mollification regularization method with the de la Vallée Poussin ...
Shangqin He, Xiufang Feng
doaj   +1 more source

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

open access: yesOpen 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

Error estimation for n-th order Filon quadrature formula

open access: yesLietuvos Matematikos Rinkinys, 2023
In this paper the error estimation for n-th order Filon quadrature formula is discussed.
Kostas Plukas, Danutė Plukienė
doaj   +1 more source

The enhanced cognitive interview: testing appropriateness perception, memory capacity and error estimate relation with report quality [PDF]

open access: yes, 2015
The Enhanced Cognitive Interview (ECI) has been widely studied. However, research has overlooked witnesses’ attitudes toward the interview and how error estimate and memory capacity relate to report quality.
Saraiva, Magda   +13 more
core   +1 more source

Error analysis of Legendre-Galerkin spectral method for a parabolic equation with Dirichlet-Type non-local boundary conditions

open access: yesMathematical Modelling and Analysis, 2021
An efficient Legendre-Galerkin spectral method and its error analysis for a one-dimensional parabolic equation with Dirichlet-type non-local boundary conditions are presented in this paper.
Abdeldjalil Chattouh, Khaled Saoudi
doaj   +1 more source

APPROXIMATE SOLUTION OF ONE PROBLEM ON ELECTRICAL OSCILLATIONS IN WIRES WITH THE USE OF POLYLOGARITHMS

open access: yesИзвестия высших учебных заведений и энергетических объединенний СНГ: Энергетика, 2017
The article considers a mixed problem with homogeneous boundary conditions for onedimensional homogeneous wave equation. Such a problem can arise, for example, when studying oscillations of current and voltage in the conductor through which electric ...
P. G. Lasy, I. N. Meleshko
doaj   +1 more source

Reliable Eigenspace Error Estimation Using Source Error Estimators

open access: yesComputational Methods in Applied Mathematics
Abstract We introduce a framework for repurposing error estimators for source problems to compute an estimator for the gap between eigenspaces and their discretizations. Of interest are eigenspaces of finite clusters of eigenvalues of unbounded nonselfadjoint linear operators with compact resolvent.
Jay Gopalakrishnan   +1 more
openaire   +3 more sources

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