| The analysis of an ill-posed problem using multi-scale resolution and second-order adjoint techniques AK Alekseev, IM Navon Computer Methods in Applied Mechanics and Engineering 190 (15-17), 1937-1953, 2001 | 67 | 2001 |
| Reduced order modeling based on POD of a parabolized Navier–Stokes equations model II: Trust region POD 4D VAR data assimilation J Du, IM Navon, J Zhu, F Fang, AK Alekseev Computers & Mathematics with Applications 65 (3), 380-394, 2013 | 57 | 2013 |
| On linear and nonlinear aspects of dynamic mode decomposition AK Alekseev, DA Bistrian, AE Bondarev, IM Navon International Journal for Numerical Methods in Fluids 82 (6), 348-371, 2016 | 54 | 2016 |
| Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems AK Alekseev, IM Navon, JL Steward Optimization methods & software 24 (1), 63-87, 2009 | 47 | 2009 |
| The estimation of functional uncertainty using polynomial chaos and adjoint equations AK Alekseev, IM Navon, ME Zelentsov International Journal for numerical methods in fluids 67 (3), 328-341, 2011 | 43 | 2011 |
| On estimation of temperature uncertainty using the second order adjoint problem AK Alekseev, IM Navon International Journal of Computational Fluid Dynamics 16 (2), 113-117, 2002 | 38 | 2002 |
| Reduced‐order modeling based on POD of a parabolized Navier–Stokes equation model I: forward model J Du, IM Navon, JL Steward, AK Alekseev, Z Luo International Journal for Numerical Methods in Fluids 69 (3), 710-730, 2012 | 33 | 2012 |
| On uncertainty quantification via the ensemble of independent numerical solutions AK Alekseev, AE Bondarev, AE Kuvshinnikov Journal of Computational Science 42, 101114, 2020 | 22 | 2020 |
| Verification on the ensemble of independent numerical solutions AK Alekseev, AE Bondarev, AE Kuvshinnikov International Conference on Computational Science, 315-324, 2019 | 18 | 2019 |
| On some features of Richardson extrapolation for compressible inviscid flows B Alexeev, AK and A.E. Journal Mathematica Montisnigri 40, 42-54, 2017 | 18* | 2017 |
| Calculation of uncertainty propagation using adjoint equations AK Alekseev, IM Navon International Journal of Computational Fluid Dynamics 17 (4), 283-288, 2003 | 18 | 2003 |
| On triangle inequality based approximation error estimation AK Alekseev, AE Bondarev, IM Navon arXiv preprint arXiv:1708.04604, 2017 | 17 | 2017 |
| COMPARATIVE ANALYSIS OF THE ACCURACY OF OPENFOAM SOLVERS FOR THE OBLIQUE SHOCK WAVE PROBLEM. AK Alekseev, AE Bondarev, AE Kuvshinnikov Mathematica Montisnigri 45, 2019 | 16 | 2019 |
| A posteriori error estimation by postprocessor independent of method of flowfield calculation AK Alekseev, IM Navon Computers & Mathematics with Applications 51 (3-4), 397-404, 2006 | 14 | 2006 |
| On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder AK Alekseev, IM Navon Computer Methods in Applied Mechanics and Engineering 194 (18-20), 2211-2228, 2005 | 14 | 2005 |
| Estimation of the distance between true and numerical solutions AK Alekseev, AE Bondarev Computational mathematics and mathematical physics 59, 857-863, 2019 | 13 | 2019 |
| A posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder AK Alekseev, IM Navon International Journal for Numerical Methods in Fluids 47 (1), 45-74, 2005 | 12 | 2005 |
| On Inverse Problems for 3D Time-Dependent Free Convection Heat Transfer AK Alekseev, YA Molotilin, AE Bondarev American Society of Mechanical Engineers, New York, NY (United States), 1995 | 12 | 1995 |
| A posteriori error estimation via differences of numerical solutions AK Alekseev, AE Bondarev, AE Kuvshinnikov International Conference on Computational Science, 508-519, 2020 | 10 | 2020 |
| Adjoint correction and bounding of error using lagrange form of truncation term AK Alekseev, IM Navon Computers & Mathematics with Applications 50 (8-9), 1311-1332, 2005 | 9 | 2005 |
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