Quasi-Feynman formulas–a method of obtaining the evolution operator for the Schrödinger equation ID Remizov Journal of Functional Analysis 270 (12), 4540-4557, 2016 | 52 | 2016 |
Solution of a Cauchy problem for a diffusion equation in a Hilbert space by a Feynman formula ID Remizov Russian Journal of Mathematical Physics 19 (3), 360-372, 2012 | 21 | 2012 |
Approximations to the solution of Cauchy problem for a linear evolution equation via the space shift operator (second-order equation example) ID Remizov Applied Mathematics and Computation 328, 243-246, 2018 | 19 | 2018 |
Feynman and quasi-Feynman formulas for evolution equations ID Remizov Doklady Mathematics 96, 433-437, 2017 | 17 | 2017 |
Solution of the Schrödinger equation with the use of the translation operator. I Remizov Mathematical Notes 100, 2016 | 17 | 2016 |
Solution-giving formula to Cauchy problem for multidimensional parabolic equation with variable coefficients ID Remizov Journal of Mathematical Physics 60 (7), 2019 | 16 | 2019 |
Speed of convergence of Chernoff approximations to solutions of evolution equations AV Vedenin, VS Voevodkin, VD Galkin, EY Karatetskaya, ID Remizov Mathematical Notes 108 (3), 451-456, 2020 | 14 | 2020 |
On estimation of error in approximations provided by Chernoff's product formula ID Remizov International Conference “Shilnikov Workshop-2018”, book of Abstracts …, 2018 | 14 | 2018 |
Quasi-Feynman formulas providing solutions of multidimensional Schrödinger equations with unbounded potential ID Remizov, MF Starodubtseva Mathematical Notes 104, 767-772, 2018 | 13 | 2018 |
Rate of Convergence of Chernoff Approximations of Operator-Semigroups OE Galkin, ID Remizov Mathematical Notes 111 (1), 305-307, 2022 | 11 | 2022 |
Upper and lower estimates for rate of convergence in the Chernoff product formula for semigroups of operators OE Galkin, ID Remizov arXiv preprint arXiv:2104.01249, 2021 | 11 | 2021 |
New method for constructing Chernoff functions ID Remizov Differential Equations 53, 566-570, 2017 | 10 | 2017 |
Formulas that represent Cauchy problem solution for momentum and position Schrödinger equation ID Remizov Potential Analysis 52 (3), 339-370, 2020 | 9 | 2020 |
Explicit formula for evolution semigroup for diffusion in Hilbert space ID Remizov Infinite Dimensional Analysis, Quantum Probability and Related Topics 21 (04 …, 2018 | 9 | 2018 |
Solution to a parabolic differential equation in Hilbert space via Feynman formula-I ID Remizov Моделирование и анализ информационных систем 22 (3), 337-355, 2015 | 8 | 2015 |
Chernoff approximations of Feller semigroups in Riemannian manifolds S Mazzucchi, V Moretti, I Remizov, O Smolyanov Mathematische Nachrichten 296 (3), 1244-1284, 2023 | 3 | 2023 |
Numerical study of the rate of convergence of Chernoff approximations to solutions of the heat equation with full list of illustrations and Python source code KA Dragunova, AA Garashenkova, N Nikbakht, ID Remizov arXiv preprint arXiv:2301.05284, 2023 | 2 | 2023 |
Upper and lower estimates for the speed of convergence of Chernoff approximations of operator semigroups OE Galkin, ID Remizov arXiv preprint arXiv:2104.01249, 2021 | 2 | 2021 |
Chernoff approximations as a way of finding the resolvent operator with applications to finding the solution of linear ODE with variable coefficients ID Remizov arXiv preprint arXiv:2301.06765, 2023 | 1 | 2023 |
Solution to a parabolic differential equation in Hilbert space via Feynman formula-parts I and II ID Remizov arXiv preprint arXiv:1402.1313, 2014 | 1 | 2014 |