Botchev Mikhail Aleksandrovich

Publications in Math-Net.Ru

1. On convergence of waveform relaxation for nonlinear systems of ordinary differential equations
   
   Keldysh Institute preprints, 2025, 043, 36 pp.
2. Adaptive iterative explicit time integration for nonlinear heat conduction problems
   
   Keldysh Institute preprints, 2025, 021, 16 pp.
3. Efficient and stable time integration of Cahn–Hilliard equations: explicit, implicit, and explicit iterative schemes
   
   Zh. Vychisl. Mat. Mat. Fiz., 64:8 (2024),  1366–1387
4. Coarse grid corrections in Krylov subspace evaluations of the matrix exponential
   
   Keldysh Institute preprints, 2023, 075, 28 pp.
5. Exponential Euler and backward Euler methods for nonlinear heat conduction problems
   
   Keldysh Institute preprints, 2023, 069, 16 pp.
6. Solving anisotropic heat equations by exponential shift-and-invert and polynomial Krylov subspace methods
   
   Keldysh Institute preprints, 2022, 004, 17 pp.
7. An accurate restarting for shift-and-invert Кrylov subspaces computing matrix exponential actions of nonsymmetric matrices
   
   Zh. Vychisl. Mat. Mat. Fiz., 61:5 (2021),  706–722
8. Comparison of exponential and implicit time integrators for unsteady advection-diffusion problems on refined meshes
   
   Keldysh Institute preprints, 2020, 119, 18 pp.
9. A two-level Schur complement solver with mesh-independent convergence for the time domain photonics modeling
   
   Keldysh Institute preprints, 2020, 116, 21 pp.
10. Predicting dynamical system evolution with residual neural networks
    
    Keldysh Institute preprints, 2019, 131, 26 pp.
11. Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations
    
    Keldysh Institute preprints, 2019, 127, 28 pp.
12. Parallel simd-implementation of explicit iterative methods for nCUBE2: model problem
    
    Mat. Model., 9:2 (1997),  91–94
13. Alternatively triangular screw-symmetric method for solving linear systems with non-symmetric definite matrix
    
    Mat. Model., 9:1 (1997),  55–68
14. Iterative solution of strongly nonsymmetric systems of linear algebraic equations
    
    Zh. Vychisl. Mat. Mat. Fiz., 37:11 (1997),  1283–1293
15. Modelling substance spreading in 2d steady free-surfaced stream
    
    Mat. Model., 8:1 (1996),  11–24
16. 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