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	Publications

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

2025 year

1.	KIAM Preprint № 78, Moscow, 2025 Authors: Botchev M.A. Title: Explicit adaptive time Stepping for the Cahn-Hilliard equation by exponential Krylov subspace and Chebyshev polynomial methods

2.	KIAM Preprint № 70, Moscow, 2025 Authors: Botchev M.A., Zhukov V.T. Title: On Positivity of the Local Iteration Modified Time Integration Scheme

3.	KIAM Preprint № 43, Moscow, 2025 Authors: Botchev M.A. Title: On convergence of waveform relaxation for nonlinear systems of ordinary differential equations

4.	KIAM Preprint № 21, Moscow, 2025 Authors: Botchev M.A., Zhukov V.T. Title: Adaptive iterative explicit time integration for nonlinear heat conduction problems

5.	Conference material, 2025 Authors: Balashov V.A., Fakhurdinov I.A., Botchev M.A., Savenkov E.B. Title: Analysis of time-stepping methods for hydrodynamic models based on density gradient theory

2024 year

6.	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

7.	KIAM Preprint № 75, Moscow, 2023 Authors: Botchev M.A. Title: Coarse grid corrections in Krylov subspace evaluations of the matrix exponential

8.	KIAM Preprint № 69, Moscow, 2023 Authors: Botchev M.A., Zhukov V.T. Title: Exponential Euler and backward Euler methods for nonlinear heat conduction problems

2022 year

9.	KIAM Preprint № 4, Moscow, 2022 Authors: Botchev M.A. Title: Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods

2020 year

10.	KIAM Preprint № 119, Moscow, 2020 Authors: Botchev M.A. Title: Comparison of exponential and implicit time integrators for unsteady advection-diffusion problems on refined meshes

11.	KIAM Preprint № 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

12.	KIAM Preprint № 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

13.	KIAM Preprint № 127, Moscow, 2019 Authors: Botchev M.A., Knizhnerman L.A. Title: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations

2018 year

14.	KIAM Preprint № 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

15.	KIAM Preprint № 128, Moscow, 2018 Authors: Botchev M.A. Title: Some topics in matrix analysis for time integration methods