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Publications in Math-Net.Ru |
Citations |
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2020 |
1. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approximation of the evolution operator $e^{itH}$, where $H=\dfrac{(-1)^md^{2m}}{(2m)!dx^{2m}}$”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 78–81 ; Dokl. Math., 101:2 (2020), 144–146 |
2. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approximation of the solution of the Cauchy problem
for the higher-order Schrödinger equation”, Teor. Veroyatnost. i Primenen., 65:4 (2020), 710–724 ; Theory Probab. Appl., 65:4 (2021), 558–569 |
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2019 |
3. |
M. V. Platonova, S. V. Tsykin, “On a limit theorem related to a Cauchy problem solution for the Schrödinger equation with a fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$”, Zap. Nauchn. Sem. POMI, 486 (2019), 254–264 |
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2018 |
4. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approach to Cauchy problem solution for the Schrödinger equation with a fractional derivative of order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$”, Zap. Nauchn. Sem. POMI, 474 (2018), 199–212 |
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2017 |
5. |
M. V. Platonova, S. V. Tsykin, “A probabilistic approximation of the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator”, Zap. Nauchn. Sem. POMI, 466 (2017), 257–272 |
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2014 |
6. |
S. V. Tsykin, “On the approximation of the solutions of some evolution equations by the expectations of functionals of random walks”, Zap. Nauchn. Sem. POMI, 431 (2014), 242–252 ; J. Math. Sci. (N. Y.), 214:4 (2016), 584–591 |
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Presentations in Math-Net.Ru |
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