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Publications in Math-Net.Ru |
Citations |
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2023 |
| 1. |
M. A. Botchev, “Coarse grid corrections in Krylov subspace evaluations of the matrix exponential”, Keldysh Institute preprints, 2023, 075, 28 pp.  |
| 2. |
M. A. Botchev, V. T. Zhukov, “Exponential Euler and backward Euler methods for nonlinear heat conduction problems”, Keldysh Institute preprints, 2023, 069, 16 pp. |
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2022 |
| 3. |
M. A. Botchev, “Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods”, Keldysh Institute preprints, 2022, 004, 17 pp. |
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2021 |
| 4. |
M. A. Botchev, “An accurate restarting for shift-and-invert Êrylov subspaces computing matrix exponential actions of nonsymmetric matrices”, Zh. Vychisl. Mat. Mat. Fiz., 61:5 (2021), 706–722  ; Comput. Math. Math. Phys., 61:5 (2021), 684–698   |
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2020 |
| 5. |
M. A. Botchev, “Comparison of exponential and implicit time integrators for unsteady advection-diffusion problems on refined meshes”, Keldysh Institute preprints, 2020, 119, 18 pp. |
| 6. |
M. A. Botchev, “A two-level Schur complement solver with mesh-independent convergence for the time domain photonics modeling”, Keldysh Institute preprints, 2020, 116, 21 pp. |
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2019 |
| 7. |
A. V. Chashchin, M. A. Botchev, I. V. Oseledets, G. V. Ovchinnikov, “Predicting dynamical system evolution with residual neural networks”, Keldysh Institute preprints, 2019, 131, 26 pp. |
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| 8. |
M. A. Botchev, L. A. Knizhnerman, “Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations”, Keldysh Institute preprints, 2019, 127, 28 pp. |
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1997 |
| 9. |
M. A. Botchev, O. V. Morgunova, I. A. Nicolaev, “Parallel simd-implementation of explicit iterative methods for nCUBE2: model problem”, Matem. Mod., 9:2 (1997), 91–94  |
| 10. |
M. A. Botchev, L. A. Krukier, “Alternatively triangular screw-symmetric method for solving linear systems with non-symmetric definite matrix”, Matem. Mod., 9:1 (1997), 55–68  |
| 11. |
M. A. Botchev, L. A. Krukier, “Iterative solution of strongly nonsymmetric systems of linear algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997), 1283–1293 ; Comput. Math. Math. Phys., 37:11 (1997), 1241–1251 |
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1996 |
| 12. |
M. A. Botchev, K. A. Nadolin, I. A. Nicolaev, “Modelling substance spreading in 2d steady free-surfaced stream”, Matem. Mod., 8:1 (1996), 11–24 |
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1995 |
| 13. |
M. A. Botchev, “On the stability of nonselfadjoint difference schemes with $M$-matrices for evolution boundary value problems with an elliptic operator with respect to space”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 9, 15–22 ; Russian Math. (Iz. VUZ), 39:9 (1995), 13–20 |
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