On Theorem 2.3 in "Prediction, Learning, and Games" by Cesa-Bianchi and Lugosi - Alexey Chernov (CoRR, 2010)

Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex. - Alexey Chernov (Math. Comput., 2012)

Exponential Convergence of Gauss-Jacobi Quadratures for Singular Integrals over Simplices in Arbitrary Dimension. - Alexey Chernov; Christoph Schwab (SIAM J. Numer. Anal., 2012)

Numerical quadrature for high-dimensional singular integrals over parallelotopes. - Alexey Chernov; Anne Reinarz (Comput. Math. Appl., 2013)

First order k-th moment finite element analysis of nonlinear operator equations with stochastic data. - Alexey Chernov; Christoph Schwab (Math. Comput., 2013)

A Unified Analysis of Transmission Conditions for Thin Conducting Sheets in the Time-Harmonic Eddy Current Model. - Kersten Schmidt; Alexey Chernov (SIAM J. Appl. Math., 2013)

High-order finite element approximation for partial differential equations. - Alexey Chernov; Christoph Schwab (Comput. Math. Appl., 2014)

Sparse tensor product spectral Galerkin BEM for elliptic problems with random input data on a spheroid. - Alexey Chernov; Duong Pham (Adv. Comput. Math., 2015)

A shape calculus based method for a transmission problem with a random interface. - Alexey Chernov; Duong Pham; Thanh Tran 003 (Comput. Math. Appl., 2015)

Quadrature algorithms for high dimensional singular integrands on simplices. - Alexey Chernov; Tobias von Petersdorff; Christoph Schwab (Numer. Algorithms, 2015)

Convergence analysis of multilevel Monte Carlo variance estimators and application for random obstacle problems. - Claudio Bierig; Alexey Chernov (Numerische Mathematik, 2015)

Fast Primal-Dual Gradient Method for Strongly Convex Minimization Problems with Linear Constraints. - Alexey Chernov; Pavel E. Dvurechensky; Alexander V. Gasnikov (DOOR, 2016)

An Investigation on Online Versus Batch Learning in Predicting User Behaviour. - Nikolay Burlutskiy; Miltos Petridis; Andrew Fish; Alexey Chernov; Nour Ali (SGAI Conf., 2016)

New explicit-in-dimension estimates for the cardinality of high-dimensional hyperbolic crosses and approximation of functions having mixed smoothness. - Alexey Chernov; Dinh Dung (J. Complex., 2016)

Approximation of probability density functions by the Multilevel Monte Carlo Maximum Entropy method. - Claudio Bierig; Alexey Chernov (J. Comput. Phys., 2016)

Exponential convergence of the hp virtual element method in presence of corner singularities. - Lourenço Beirão da Veiga; Alexey Chernov; Lorenzo Mascotto; Alessandro Russo 002 (Numerische Mathematik, 2018)

Sparse grid approximation spaces for space-time boundary integral formulations of the heat equation. - Alexey Chernov; Anne Reinarz (Comput. Math. Appl., 2019)

Certified Efficient Global Roundness Evaluation. - Frank Schöpfer; Alexey Chernov (J. Optim. Theory Appl., 2020)

p- and hp- virtual elements for the Stokes problem. - Alexey Chernov; Carlo Marcati; Lorenzo Mascotto (Adv. Comput. Math., 2021)

Correction to: Certified Efficient Global Roundness Evaluation. - Frank Schöpfer; Alexey Chernov (J. Optim. Theory Appl., 2021)

Multilevel ensemble Kalman filtering for spatio-temporal processes. - Alexey Chernov; Håkon Hoel; Kody J. H. Law; Fabio Nobile; Raúl Tempone (Numerische Mathematik, 2021)

Numerical Analysis of the Model of Optimal Savings and Borrowing. - Alexey Chernov; Aleksandra A. Zhukova (OPTIMA, 2022)

Numerical Analysis of Optimal Control of Assets and Liabilities by a Bank. - Aleksandra A. Zhukova; Anna Flerova; Alexey Chernov (NUMTA (1), 2023)

Application of Optimization Methods in Solving the Problem of Optimal Control of Assets and Liabilities by a Bank. - Alexey Chernov; Anna Flerova; Aleksandra A. Zhukova (OPTIMA, 2023)

Convergence Rate of Gradient-Concordant Methods for Smooth Unconstrained Optimization. - Alexey Chernov; Anna Lisachenko (OPTIMA, 2023)

Using a one-dimensional finite-element approximation of Webster's horn equation to estimate individual ear canal acoustic transfer from input impedances. - Nick Wulbusch; Reinhild Roden; Alexey Chernov; Matthias Blau (CoRR, 2023)

Analytic and Gevrey class regularity for parametric elliptic eigenvalue problems. - Alexey Chernov; Tung Le (CoRR, 2023)

A Simple, Bias-free Approximation of Covariance Functions by the Multilevel Monte Carlo Method Having Nearly Optimal Complexity. - Alexey Chernov; Erik Marc Schetzke (SIAM/ASA J. Uncertain. Quantification, 2023)

Prototype for the Model-Based Assets and Liabilities Management Support System. - Aleksandra A. Zhukova; Anna Flerova; Maxim Tarasenko; Alexey Chernov; Ruslan F. Gabbasov (CoDIT, 2024)

Analytic and Gevrey class regularity for parametric semilinear reaction-diffusion problems and applications in uncertainty quantification. - Alexey Chernov; Tung Le (Comput. Math. Appl., 2024)

Error Estimation and Stopping Criteria for Krylov-Based Model Order Reduction in Acoustics. - Siyang Hu; Nick Wulbusch; Alexey Chernov; Tamara Bechtold (CoRR, 2024)

Analytic and Gevrey Class Regularity for Parametric Elliptic Eigenvalue Problems and Applications. - Alexey Chernov; Tùng Lê (SIAM J. Numer. Anal., 2024)

Bayesian Parameter Identification in Impedance Boundary Conditions for Helmholtz Problems. - Nick Wulbusch; Reinhild Roden; Matthias Blau; Alexey Chernov (SIAM J. Sci. Comput., 2024)

Approaches to numerical analysis of optimal control with linear phase constraints on the example of the assets and liabilities management by a bank. - Aleksandra A. Zhukova; Anna Flerova; Alexey Chernov; Georgy Milyuchikhin (J. Comput. Appl. Math., 2025)

Gevrey class regularity for steady-state incompressible Navier-Stokes equations in parametric domains and related models. - Alexey Chernov; Tùng Lê (CoRR, 2025)