Aleksey K. Alekseev

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 12

Top Topics

Difference Equations

Error Estimation

Numerical Solution

Top Venues

Math. Comput. Simul.

Publications

Aleksey K. Alekseev, Alexander E. Bondarev
On Estimation of Numerical Solution in Prager&Synge Sense. ICCS (7) (2024)
Aleksey K. Alekseev, Alexander E. Bondarev
The Numerical Solution in the Sense of Prager&Synge. CoRR (2024)
Aleksey K. Alekseev, Alexander E. Bondarev
On the Resolution of Approximation Errors on an Ensemble of Numerical Solutions. ICCS (5) (2023)
Aleksey K. Alekseev, Alexander E. Bondarev, Artem E. Kuvshinnikov
On a Nonlinear Approach to Uncertainty Quantification on the Ensemble of Numerical Solutions. ICCS (4) (2022)
Aleksey K. Alekseev, Alexander E. Bondarev, Artem E. Kuvshinnikov
A Comparison of the Richardson Extrapolation and the Approximation Error Estimation on the Ensemble of Numerical Solutions. ICCS (6) (2021)
Aleksey K. Alekseev, Alexander E. Bondarev
The Estimation of Approximation Error using the Inverse Problem and the Set of Numerical Solutions. CoRR (2021)
Aleksey K. Alekseev, Alexander E. Bondarev
On a posteriori error estimation using distances between numerical solutions and angles between truncation errors. Math. Comput. Simul. 190 (2021)
Aleksey K. Alekseev, Alexander E. Bondarev, Vladimir A. Galaktionov, Artem E. Kuvshinnikov
Generalized Computational Experiment and Verification Problems. Program. Comput. Softw. 47 (3) (2021)
Aleksey K. Alekseev, Alexander E. Bondarev
On the relation of truncation and approximation errors for the set of solutions obtained by different numerical methods. CoRR (2020)
Aleksey K. Alekseev, Alexander E. Bondarev, Artem E. Kuvshinnikov
A Posteriori Error Estimation via Differences of Numerical Solutions. ICCS (7) (2020)
Aleksey K. Alekseev, Alexander E. Bondarev, Artem E. Kuvshinnikov
On uncertainty quantification via the ensemble of independent numerical solutions. J. Comput. Sci. 42 (2020)
Aleksey K. Alekseev, Alexander E. Bondarev, Artem E. Kuvshinnikov
Verification on the Ensemble of Independent Numerical Solutions. ICCS (5) (2019)
Juan Du, I. M. Navon, Jiang Zhu, Fangxin Fang, Aleksey K. Alekseev
Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: Trust region POD 4D VAR data assimilation. Comput. Math. Appl. 65 (3) (2013)
Aleksey K. Alekseev, I. Michael Navon, Jeff L. Steward
Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems. Optim. Methods Softw. 24 (1) (2009)
Aleksey K. Alekseev
An Adjoint-Based A Posteriori Estimation of Iterative Convergence Error. Comput. Math. Appl. 52 (8-9) (2006)
Aleksey K. Alekseev, I. M. Navon
A posteriori error estimation by postprocessor independent of method of flowfield calculation. Comput. Math. Appl. 51 (3-4) (2006)