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Publications
Botchev Mikhail Aleksandrovich
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ORCID: 0000-0001-5901-7120

2025 year
1.  KIAM Preprint ¹ 21, Moscow, 2025
Authors: Botchev M.A., Zhukov V.T.
Title: Adaptive iterative explicit time integration for nonlinear heat conduction problems

2024 year
2.  Conference material, 2024
Authors: Botchev M.A., Savenkov E.B., Fakhurdinov I.A.
Title: Explicit, implicit and explicit-iterative schemes for time integration of the Cahn-Hillard equations

2023 year
3.  KIAM Preprint ¹ 75, Moscow, 2023
Authors: Botchev M.A.
Title: Coarse grid corrections in Krylov subspace evaluations of the matrix exponential

2023 year
4.  KIAM Preprint ¹ 69, Moscow, 2023
Authors: Botchev M.A., Zhukov V.T.
Title: Exponential Euler and backward Euler methods for nonlinear heat conduction problems

2022 year
5.  KIAM Preprint ¹ 4, Moscow, 2022
Authors: Botchev M.A.
Title: Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods

2020 year
6.  KIAM Preprint ¹ 119, Moscow, 2020
Authors: Botchev M.A.
Title: Comparison of exponential and implicit time integrators for unsteady advection-diffusion problems on refined meshes

2020 year
7.  KIAM Preprint ¹ 116, Moscow, 2020
Authors: Botchev M.A.
Title: A two-level Schur complement solver with mesh-independent convergence for the time domain photonics modeling

2019 year
8.  KIAM Preprint ¹ 131, Moscow, 2019
Authors: Chashchin A.V., Botchev M.A., Oseledets I.V., Ovchinnikov G.V.
Title: Predicting dynamical system evolution with residual neural networks

2019 year
9.  KIAM Preprint ¹ 127, Moscow, 2019
Authors: Botchev M.A., Knizhnerman L.A.
Title: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations

2018 year
10.  KIAM Preprint ¹ 164, Moscow, 2018
Authors: Oseledets I.V., Botchev M.A., Katrutsa A.M., Ovchinnikov G.V.
Title: How to optimize preconditioners for the conjugate gradient method: a stochastic approach

2018 year
11.  KIAM Preprint ¹ 128, Moscow, 2018
Authors: Botchev M.A.
Title: Some topics in matrix analysis for time integration methods