An Adjoint-Based A Posteriori Estimation of Iterative Convergence Error. - Aleksey K. Alekseev (Comput. Math. Appl., 2006)

A posteriori error estimation by postprocessor independent of method of flowfield calculation. - Aleksey K. Alekseev; I. M. Navon (Comput. Math. Appl., 2006)

Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems. - Aleksey K. Alekseev; I. Michael Navon; Jeff L. Steward (Optim. Methods Softw., 2009)

Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: Trust region POD 4D VAR data assimilation. - Juan Du 011; I. M. Navon; Jiang Zhu; Fangxin Fang; Aleksey K. Alekseev (Comput. Math. Appl., 2013)

Verification on the Ensemble of Independent Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov (ICCS (5), 2019)

A Posteriori Error Estimation via Differences of Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov (ICCS (7), 2020)

On the relation of truncation and approximation errors for the set of solutions obtained by different numerical methods. - Aleksey K. Alekseev; Alexander E. Bondarev (CoRR, 2020)

On uncertainty quantification via the ensemble of independent numerical solutions. - Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov (J. Comput. Sci., 2020)

A Comparison of the Richardson Extrapolation and the Approximation Error Estimation on the Ensemble of Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov (ICCS (6), 2021)

The Estimation of Approximation Error using the Inverse Problem and the Set of Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev (CoRR, 2021)

On a posteriori error estimation using distances between numerical solutions and angles between truncation errors. - Aleksey K. Alekseev; Alexander E. Bondarev (Math. Comput. Simul., 2021)

Generalized Computational Experiment and Verification Problems. - Aleksey K. Alekseev; Alexander E. Bondarev; Vladimir A. Galaktionov; Artem E. Kuvshinnikov (Program. Comput. Softw., 2021)

On a Nonlinear Approach to Uncertainty Quantification on the Ensemble of Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov (ICCS (4), 2022)

On the Resolution of Approximation Errors on an Ensemble of Numerical Solutions. - Aleksey K. Alekseev; Alexander E. Bondarev (ICCS (5), 2023)

On Estimation of Numerical Solution in Prager&Synge Sense. - Aleksey K. Alekseev; Alexander E. Bondarev (ICCS (7), 2024)

The Numerical Solution in the Sense of Prager&Synge. - Aleksey K. Alekseev; Alexander E. Bondarev (CoRR, 2024)

On calculation of canonical decomposition of Tensor via the grid of local discrepancies. - Aleksey K. Alekseev; Alexander E. Bondarev; Y. S. Pyatakova (CoRR, 2025)