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On Estimation of Numerical Solution in Prager&Synge Sense

2024 | Book chapter
Contributors: A. K. Alekseev; A. E. Bondarev
Source: check_circle
Crossref

On Visualization When Controlling Wave Structures Using Distributed Heat Sources

Scientific Visualization
2024-08 | Journal article
Contributors: A.K. Alekseev; A.E. Bondarev
Source: check_circle
Crossref

On the Resolution of Approximation Errors on an Ensemble of Numerical Solutions

2023 | Book chapter
Contributors: A. K. Alekseev; A. E. Bondarev
Source: check_circle
Crossref

On the Visualization of the Ensemble of Parametric Numerical Solutions Using Tensor Decomposition

2023 | Conference paper
Contributors: Alexey Kirillovich Alexeev; Alexander Evgenyevich Bondarev; Yu.S. Pyatakova
Source: check_circle
Crossref

On Application of Canonical Decomposition for the Visualization of Results of Multiparameter Computations

Scientific Visualization
2023-11 | Journal article
Contributors: A.K. Alekseev; A.E. Bondarev; Yu.S. Pyatakova
Source: check_circle
Crossref

On a Nonlinear Approach to Uncertainty Quantification on the Ensemble of Numerical Solutions

2022 | Book chapter
Contributors: Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov
Source: check_circle
Crossref

On the Visualization of Multidimensional Functions using Canonical Decomposition

Scientific Visualization
2022 | Journal article
Contributors: A.K. Alekseev; A.E. Bondarev; Yu.S. Pyatakova
Source: check_circle
Crossref

On the Visualization of Multidimensional Functions Using Canonical Decomposition

2022 | Conference paper
Contributors: Alexey Kirillovich Alexeev; Alexander Evgenyevich Bondarev; Yu.S. Pyatakova
Source: check_circle
Crossref

A Comparison of the Richardson Extrapolation and the Approximation Error Estimation on the Ensemble of Numerical Solutions

2021 | Book chapter
Contributors: Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov
Source: check_circle
Crossref

On the Prager-Synge method for a posteriori error

Keldysh Institute Preprints
2021 | Journal article
Contributors: Alexey Kirillovich Alexeev; Alexander Evgenyevich Bondarev
Source: check_circle
Crossref

On a posteriori error estimation using distances between numerical solutions and angles between truncation errors

Mathematics and Computers in Simulation
2021-12 | Journal article
Contributors: A.K. Alekseev; A.E. Bondarev
Source: check_circle
Crossref

The estimation of approximation error using inverse problem and a set of numerical solutions

Inverse Problems in Science and Engineering
2021-12-23 | Journal article
Contributors: A. K. Alekseev; A. E. Bondarev
Source: check_circle
Crossref

A Posteriori Error Estimation via Differences of Numerical Solutions

2020 | Book chapter
Contributors: Aleksey K. Alekseev; Alexander E. Bondarev; Artem E. Kuvshinnikov
Source: check_circle
Crossref

On the construction of a generalized computational experiment in verification problems

Mathematica Montisnigri
2020 | Journal article
Contributors: Aleksey Kirillovich Alekseev; Alexander Evgenievich Bondarev; Vladimir Alexandrovich Galaktionov; Artem Evgenievich Kuvshinnikov
Source: check_circle
Crossref

On Applying of Generalized Computational Experiment to Numerical Methods Verification

Proceedings of the 30th International Conference on Computer Graphics and Machine Vision (GraphiCon 2020). Part 2
2020-12-17 | Journal article
Contributors: Aleksey Alekseev; Alexander Bondarev; Vladimir Galaktionov; Artem Kuvshinnikov; Lev Shapiro
Source: check_circle
Crossref

Comparative analysis of the accuracy of OPENFOAM solvers for the oblique shock wave problem

Mathematica Montisnigri
2019 | Journal article
Contributors: Aleksei Kirillovich Alekseev; Aleksander Evgenievich Bondarev; Artem Evgenievich Kuvshinnikov
Source: check_circle
Crossref

Verification on the Ensemble of Independent Numerical Solutions

2019 | Book chapter
Contributors: A. K. Alekseev; A. E. Bondarev; A. E. Kuvshinnikov
Source: check_circle
Crossref

On linear and nonlinear aspects of dynamic mode decomposition

International Journal for Numerical Methods in Fluids
2016 | Journal article
EID:

2-s2.0-84959386664

Contributors: Alekseev, A.K.; Bistrian, D.A.; Bondarev, A.E.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Numerical control of two-dimensional shock waves in dual solution domain by instant temperature disturbances

International Journal for Numerical Methods in Fluids
2013 | Journal article
EID:

2-s2.0-84870842718

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: Trust region POD 4D VAR data assimilation

Computers and Mathematics with Applications
2013 | Journal article
EID:

2-s2.0-84872613506

Contributors: Du, J.; Navon, I.M.; Zhu, J.; Fang, F.; Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Control of the transition between regular and mach reflection of shock waves

Computational Mathematics and Mathematical Physics
2012 | Journal article
EID:

2-s2.0-84863209260

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Reduced-order modeling based on POD of a parabolized Navier-Stokes equation model I: Forward model

International Journal for Numerical Methods in Fluids
2012 | Journal article
EID:

2-s2.0-84859910194

Contributors: Du, J.; Navon, I.M.; Steward, J.L.; Alekseev, A.K.; Luo, Z.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Transition between the regular and Mach shock interaction regimes initiated by a temperature disturbance

Fluid Dynamics
2012 | Journal article
EID:

2-s2.0-84867921415

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

The estimation of functional uncertainty using polynomial chaos and adjoint equations

International Journal for Numerical Methods in Fluids
2011 | Journal article
EID:

2-s2.0-84860397191

Contributors: Alekseev, A.K.; Navon, I.M.; Zelentsov, M.E.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

An estimation of the sensitivity of numerical error norm using adjoint model

International Journal for Numerical Methods in Fluids
2010 | Journal article
EID:

2-s2.0-77956572733

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Criteria of optimality for sensors' location based on adjoint transformation of observation data interpolation error

International Journal for Numerical Methods in Fluids
2010 | Journal article
EID:

2-s2.0-77950223171

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems

Optimization Methods and Software
2009 | Journal article
EID:

2-s2.0-57649176592

Contributors: Alekseev, A.K.; Navon, I.M.; Steward, J.L.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

On using the Lagrange coefficients for a posteriori error estimation

Numerical Analysis and Applications
2009 | Journal article
EID:

2-s2.0-77952872507

Contributors: Alekseev, A.K.; Makhnev, I.N.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Estimation of goal functional error arising from iterative solution of Euler equations

International Journal of Computational Fluid Dynamics
2008 | Journal article
EID:

2-s2.0-42649142927

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

A posteriori error estimation by postprocessor independent of method of flowfield calculation

Computers and Mathematics with Applications
2006 | Journal article
EID:

2-s2.0-33747385761

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

A postprocessor for a posteriori error estimation of computed flow parameters

Computational Mathematics and Mathematical Physics
2006 | Journal article
EID:

2-s2.0-33749001424

Contributors: Alekseev, A.K.; Zhurin, S.V.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

An Adjoint-Based A Posteriori Estimation of Iterative Convergence Error

Computers and Mathematics with Applications
2006 | Journal article
EID:

2-s2.0-33846873860

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

A posteriori error estimation of a finite difference solution based on adjoint equations and differential representations

Computational Mathematics and Mathematical Physics
2005 | Journal article
EID:

2-s2.0-33746555426

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

A posteriori pointwise error estimation for compressible fluid flows using adjoint parameters and Lagrange remainder

International Journal for Numerical Methods in Fluids
2005 | Journal article
EID:

2-s2.0-11344264632

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Adjoint correction and bounding of error using lagrange form of truncation term

Computers and Mathematics with Applications
2005 | Journal article
EID:

2-s2.0-28844489088

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

On a posteriori pointwise error estimation using adjoint temperature and Lagrange remainder

Computer Methods in Applied Mechanics and Engineering
2005 | Journal article
EID:

2-s2.0-14944358904

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Calculation of a temperature error by the conjugate equation

Journal of Engineering Physics and Thermophysics
2004 | Journal article
EID:

2-s2.0-31144449101

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Control of an error of a finite-difference solution of the heat-conduction equation by the conjugate equation

Journal of Engineering Physics and Thermophysics
2004 | Journal article
EID:

2-s2.0-11344283293

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Calculation of uncertainty propagation using adjoint equations

International Journal of Computational Fluid Dynamics
2003 | Journal article
EID:

2-s2.0-0041563846

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Employment of the conjugate equations of first and second order in evaluating the error of solution of the heat-conduction equation

Inzhenerno-Fizicheskii Zhurnal
2002 | Journal article
EID:

2-s2.0-0036416556

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

On estimation of temperature uncertainty using the second order adjoint problem

International Journal of Computational Fluid Dynamics
2002 | Journal article
EID:

2-s2.0-0036558108

Contributors: Alekseev, A.K.; Navon, I.M.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

On estimation of entrance boundary parameters from downstream measurements using adjoint approach

International Journal for Numerical Methods in Fluids
2001 | Journal article
EID:

2-s2.0-0035974719

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

The analysis of an ill-posed problem using multi-scale resolution and second-order adjoint techniques

Computer Methods in Applied Mechanics and Engineering
2001 | Journal article
EID:

2-s2.0-0035808188

Contributors: Alekseev, A.K.; Michael Navon, I.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Wall-temperature control in free convection

Heat Transfer Research
2001 | Journal article
EID:

2-s2.0-0141719459

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

2D inverse convection dominated problem for estimation of inflow parameters from outflow measurements

Inverse Problems in Engineering
2000 | Journal article
EID:

2-s2.0-0346355320

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Thermal protection based on crystalline hydrates

Inzhenerno-Fizicheskii Zhurnal
2000 | Journal article
EID:

2-s2.0-2542504718

Contributors: Alekseev, A.K.; Shuvalov, M.P.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

The solution of an inverse retrospective problem of convection

High Temperature
1999 | Journal article
EID:

2-s2.0-0010679276

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Estimation of entry parameters from heat flux measurements

Journal of Spacecraft and Rockets
1998 | Journal article
EID:

2-s2.0-0032117379

Contributors: Alekseev, A.K.; Pavlov, G.A.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Estimation of parameters of unperturbed flow from the measurements of heat flux at the surface

High Temperature
1997 | Journal article
EID:

2-s2.0-27644491291

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier

Freestream parameter estimation using heat flux measurements

AIAA Journal
1997 | Journal article
EID:

2-s2.0-0030881905

Contributors: Alekseev, A.K.
Source: Self-asserted source
Aleksey Alekseev via Scopus - Elsevier
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