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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
A. V. Muzalevskii, S. I. Repin, “Solving differential equations by neural networks: goal functionals and verification of results”, Mat. Model., 36:6 (2024), 179–200  |
| 2. |
A. V. Muzalevskii, S. I. Repin, M. E. Frolov, “A posteriori error estimates of approximate solutions to elliptic boundary value problems in terms of local norms and cost functionals”, Zh. Vychisl. Mat. Mat. Fiz., 64:12 (2024), 2270–2285  ; Comput. Math. Math. Phys., 64:12 (2024), 2780–2795 |
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2021 |
| 3. |
A. V. Muzalevsky, S. I. Repin, “A posteriori error control of approximate solutions to boundary value problems constructed by neural networks”, Zap. Nauchn. Sem. POMI, 499 (2021), 77–104 |
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2005 |
| 4. |
A. V. Muzalevskii, S. I. Repin, “On error estimates for approximate solutions in problems of the linear theory of thermoelasticity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2005, no. 1, 64–72   ; Russian Math. (Iz. VUZ), 49:1 (2005), 60–68 |
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1996 |
| 5. |
S. I. Repin, A. V. Muzalevskii, “Numerical modelling of discontinuous solution of perfectly elasto-plastic problems”, Mat. Model., 8:4 (1996), 113–127 |
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