Results 21 to 30 of about 2,420,035 (290)

Some Second-Order σ Schemes Combined with an H¹-Galerkin MFE Method for a Nonlinear Distributed-Order Sub-Diffusion Equation

Mathematics, 2020
In this article, some high-order time discrete schemes with an H 1 -Galerkin mixed finite element (MFE) method are studied to numerically solve a nonlinear distributed-order sub-diffusion model.
Yaxin Hou, Cao Wen, Hong Li, Yang Liu, Zhichao Fang, Yining Yang   +5 more
doaj   +1 more source

Regularization Error Analysis for a Sideways Problem of the 2D Nonhomogeneous Time-Fractional Diffusion Equation

Mathematics, 2022
The inverse and ill-posed problem of determining a solute concentration for the two-dimensional nonhomogeneous fractional diffusion equation is investigated. This model is much worse than its homogeneous counterpart as the source term appears. We propose
Yonggang Chen, Yu Qiao, Xiangtuan Xiong
doaj   +1 more source

Convergence of adaptive stochastic Galerkin FEM [PDF]

, 2018
We propose and analyze novel adaptive algorithms for the numerical solution of elliptic partial differential equations with parametric uncertainty.
Bespalov, Alex, Praetorius, Dirk, Rocchi, Leonardo, Ruggeri, Michele   +3 more
core   +2 more sources

Numerical analysis of an implicit fully discrete local discontinuous Galerkin method for the fractional Zakharov–Kuznetsov equation

Mathematical Modelling and Analysis, 2012
In this paper we develop and analyze an implicit fully discrete local discontinuous Galerkin (LDG) finite element method for a time-fractional Zakharov–Kuznetsov equation.
Zongxiu Ren, Leilei Wei, Yinnian He, Shaoli Wang   +3 more
doaj   +1 more source

Generalized Beta Prime Distribution Applied to Finite Element Error Approximation

Axioms, 2022
In this paper, we propose a new family of probability laws based on the Generalized Beta Prime distribution to evaluate the relative accuracy between two Lagrange finite elements Pk1 and Pk2 ...
Joël Chaskalovic, Franck Assous
doaj   +1 more source

Estimates of convolutions of certain number-theoretic error terms

International Journal of Mathematics and Mathematical Sciences, 2004
Several estimates for the convolution function C [f(x)]:=∫1xf(y) f(x/y)(dy/y) and its iterates are obtained when f(x) is a suitable number-theoretic error term.
Aleksandar Ivic
doaj   +1 more source

A Crank-Nicolson finite volume element method for two-dimensional Sobolev equations

Journal of Inequalities and Applications, 2016
In this paper, we provide a new type of study approach for the two-dimensional (2D) Sobolev equations. We first establish a semi-discrete Crank-Nicolson (CN) formulation with second-order accuracy about time for the 2D Sobolev equations. Then we directly
Zhendong Luo
doaj   +1 more source

Error Estimates on Parton Density Distributions [PDF]

, 2001
Error estimates on parton density distributions are presently based on the traditional method of least squares minimisation and linear error propagation in global QCD fits. We review the underlying assumptions and the various mathematical representations
Alekhin S I, Botje M, Bukhvostov A P, Collins J C, M Botje, Nagano K, Pascaud C, Pumplin J, Pumplin J, Stump D, Takeuchi T   +10 more
core   +2 more sources

Numerical validation of probabilistic laws to evaluate finite element error estimates

Mathematical Modelling and Analysis, 2021
We propose a numerical validation of a probabilistic approach applied to estimate the relative accuracy between two Lagrange finite elements Pk and Pm,(k < m).
Jöel Chaskalovic, Franck Assous
doaj   +1 more source

Discrepancy-based error estimates for Quasi-Monte Carlo. III: Error distributions and central limits [PDF]

, 1996
In Quasi-Monte Carlo integration, the integration error is believed to be generally smaller than in classical Monte Carlo with the same number of integration points.
Hoogland, Jiri, Kleiss, Ronald
core   +3 more sources