Results 11 to 20 of about 5,904,316 (306)

Functional measurement error in functional regression [PDF]

Canadian Journal of Statistics, 2020
AbstractMeasurement error is an important problem that has not been studied very well in the context of functional data analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors in generalized functional linear models.
Shuangge Ma, Sneha Jadhav
exaly   +3 more sources

Putting error bars on density functional theory [PDF]

Scientific Reports
Predicting the error in density functional theory (DFT) calculations due to the choice of exchange–correlation (XC) functional is crucial to the success of DFT, but currently, there are limited options to estimate this a priori.
Simuck F. Yuk, Irmak Sargin, Noah Meyer, Jaron T. Krogel, Scott P. Beckman, Valentino R. Cooper   +5 more
doaj   +2 more sources

On an Optimal Quadrature Formula in a Hilbert Space of Periodic Functions

Algorithms, 2022
The present work is devoted to the construction of optimal quadrature formulas for the approximate calculation of the integrals ∫02πeiωxφ(x)dx in the Sobolev space H˜2m.
Kholmat Shadimetov, Abdullo Hayotov, Botir Abdikayimov   +2 more
doaj   +1 more source

Construction of optimal interpolation formula exact for trigonometric functions by Sobolev’s method

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
The paper is devoted to derivation of the optimal interpolation formula in W2(0,2)(0,1) Hilbert space by Sobolev’s method. Here the interpolation formula consists of a linear combination   ΣNβ=0Cβφ(xβ) of the given values of a function φ from the space ...
Shadimetov, Kh.M., Boltaev, A.K., Parovik, R.I.   +2 more
doaj   +1 more source

Linear barycentric rational collocation method for solving biharmonic equation

Demonstratio Mathematica, 2022
Two-dimensional biharmonic boundary-value problems are considered by the linear barycentric rational collocation method, and the unknown function is approximated by the barycentric rational polynomial.
Li Jin
doaj   +1 more source

Complex zeros of the error function and of the complementary error function [PDF]

Mathematics of Computation, 1973
The first one hundred zeros of the error function and of the complementary error function are given. An asymptotic formula for the higher zeros is also derived.
Fettis, Henry E., Caslin, James C., Cramer, Kenneth R.   +2 more
openaire   +2 more sources

Delocalization error: The greatest outstanding challenge in density‐functional theory

, 2022
Every day, density-functional theory (DFT) is routinely applied to computational modeling of molecules and materials with the expectation of high accuracy.
Bryenton, Kyle R, Adeleke, Adebayo A, Dale, Stephen G, Kyle R. Bryenton, Johnson, Erin R, Adebayo A. Adeleke, Stephen G. Dale, Erin R. Johnson   +7 more
core   +1 more source

Atomistic-to-continuum coupling approximation of a one-dimensional toy model for density functional theory [PDF]

, 2013
We consider an atomistic model defined through an interaction field satisfying a variational principle and which can therefore be considered a toy model of (orbital-free) density functional theory.
Langwallner, Bernhard, Ortner, Christoph, Süli, Endre   +2 more
core   +2 more sources

Error file

, 2023
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Error file, Error file
core   +1 more source

Functional a posteriori error estimates for boundary element methods [PDF]

, 2021
Functional error estimates are well-established tools for a posteriori error estimation and related adaptive mesh-refinement for the finite element method (FEM). The present work proposes a first functional error estimate for the boundary element method (
Kurz, Stefan, Repin, Sergey, Praetorius, Dirk, Sebastian, Daniel, Praetorius, Dirk; orcid:, Pauly, Dirk, Daniel Sebastian, Sergey Repin, Dirk Pauly, Stefan Kurz, Dirk Praetorius   +10 more
core   +1 more source