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ORCIDMike A. Botchev
Person information
- affiliation: Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
- affiliation (former): University of Twente, Enschede, Netherlands
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2020 – today
- 2025
[i14]Mike A. Botchev:
Explicit adaptive time stepping for the Cahn-Hilliard equation by exponential Krylov subspace and Chebyshev polynomial methods. CoRR abs/2502.14589 (2025)- 2024
- [j18]Mike A. Botchev
, Leonid Knizhnerman, Marcel Schweitzer:
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. SIAM J. Sci. Comput. 46(2): S223-S253 (2024) - 2023
- [j17]Mike A. Botchev:
Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential. SIAM J. Sci. Comput. 45(3): S421-S438 (2023) - [i13]Mike A. Botchev:
On convergence of waveform relaxation for nonlinear systems of ordinary differential equations. CoRR abs/2307.00276 (2023) - 2022
- [i12]Mike A. Botchev, Leonid A. Knizhnerman, Marcel Schweitzer:
Krylov subspace residual and restarting for certain second order differential equations. CoRR abs/2206.06909 (2022) - [i11]Mikhail A. Botchev, Victor T. Zhukov:
Exponential Euler and backward Euler methods for nonlinear heat conduction problems. CoRR abs/2211.04227 (2022) - 2021
- [j16]Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov:
Residual and Restarting in Krylov Subspace Evaluation of the φ Function. SIAM J. Sci. Comput. 43(6): A3733-A3759 (2021) - [i10]Mike A. Botchev:
Coarse grid corrections in Krylov subspace evaluations of the matrix exponential. CoRR abs/2107.07590 (2021) - 2020
- [j15]Mike A. Botchev:
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling. Comput. Math. Appl. 80(2): 295-304 (2020) - [j14]Mikhail A. Botchev, Leonid A. Knizhnerman:
ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. J. Comput. Appl. Math. 364 (2020) - [i9]Mikhail A. Botchev:
Exponential time integrators for unsteady advection-diffusion problems on refined meshes. CoRR abs/2010.04756 (2020) - [i8]Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov:
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. CoRR abs/2010.08494 (2020)
2010 – 2019
- 2019
- [i7]Mike A. Botchev:
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling. CoRR abs/1901.11521 (2019) - [i6]Alexandr Katrutsa, Mike A. Botchev, Ivan V. Oseledets:
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential. CoRR abs/1909.13059 (2019) - [i5]Artem V. Chashchin, Mikhail A. Botchev, Ivan V. Oseledets, Grigory V. Ovchinnikov:
Predicting dynamical system evolution with residual neural networks. CoRR abs/1910.05233 (2019) - [i4]Mikhail A. Botchev:
An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices. CoRR abs/1912.02643 (2019) - 2018
- [j13]Mike A. Botchev, Abel M. Hanse, R. Uppu:
Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources. J. Comput. Appl. Math. 340: 474-485 (2018) - [j12]Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts:
An Exponential Time Integrator for the Incompressible Navier-Stokes Equation. SIAM J. Sci. Comput. 40(3) (2018) - [i3]Mikhail A. Botchev, Leonid A. Knizhnerman:
ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations. CoRR abs/1812.10165 (2018) - 2017
- [j11]Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts:
A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations. J. Comput. Appl. Math. 316: 229-246 (2017) - 2016
- [j10]Mikhail A. Botchev:
Krylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modeling. J. Comput. Appl. Math. 293: 20-34 (2016) - 2014
- [j9]Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov:
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. Comput. Math. Appl. 67(12): 2088-2098 (2014) - 2013
- [j8]D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt:
Time-integration methods for finite element discretisations of the second-order Maxwell equation. Comput. Math. Appl. 65(3): 528-543 (2013) - [j7]Mike A. Botchev:
A block Krylov subspace time-exact solution method for linear ordinary differential equation systems. Numer. Linear Algebra Appl. 20(4): 557-574 (2013) - [j6]Mike A. Botchev, Volker Grimm, Marlis Hochbruck:
Residual, Restarting, and Richardson Iteration for the Matrix Exponential. SIAM J. Sci. Comput. 35(3) (2013) - 2011
- [i2]Mikhail A. Botchev:
Block Krylov subspace exact time integration of linear ODE systems. Part 1: algorithm description. CoRR abs/1109.5100 (2011) - [i1]Mike A. Botchev:
Residual, restarting and Richardson iteration for the matrix exponential, revised. CoRR abs/1112.5670 (2011)
2000 – 2009
- 2009
- [j5]Mike A. Botchev, Jan G. Verwer:
Numerical Integration of Damped Maxwell Equations. SIAM J. Sci. Comput. 31(2): 1322-1346 (2009) - 2008
- [j4]Oleg V. Nechaev, Ella P. Shurina, Mike A. Botchev:
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. Comput. Math. Appl. 55(10): 2346-2362 (2008) - 2007
- [j3]D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt:
Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations. J. Sci. Comput. 33(1): 47-74 (2007) - 2006
- [j2]Mike A. Botchev, Davit Harutyunyan, Jaap J. W. van der Vegt:
The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations. J. Comput. Phys. 216(2): 654-686 (2006) - [j1]Mike A. Botchev, Gene H. Golub:
A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 27(4): 1125-1149 (2006) - 2003
- [c2]Mike A. Botchev, István Faragó, Ágnes Havasi:
Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model. LSSC 2003: 295-302
1990 – 1999
- 1998
- [c1]Mikhail A. Botchev:
Experiments with MRAI Time Stepping Schemes on a Distributed Memory Parallel Environment. HPCN Europe 1998: 872-874
Coauthor Index
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