Mike A. Botchev

25 papers Journal 24Unranked 1
YearRankTypeTitle / Venue / Authors
2025 J jnl
Explicit adaptive time stepping for the Cahn-Hilliard equation by exponential Krylov subspace and Chebyshev polynomial methods.
CoRR
Mike A. Botchev
2024 J jnl
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations.
SIAM J. Sci. Comput.
Mike A. Botchev, Leonid Knizhnerman, Marcel Schweitzer
2023 J jnl
Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential.
SIAM J. Sci. Comput.
Mike A. Botchev
2023 J jnl
On convergence of waveform relaxation for nonlinear systems of ordinary differential equations.
CoRR
Mike A. Botchev
2022 J jnl
Krylov subspace residual and restarting for certain second order differential equations.
CoRR
Mike A. Botchev, Leonid A. Knizhnerman, Marcel Schweitzer
2021 J jnl
Coarse grid corrections in Krylov subspace evaluations of the matrix exponential.
CoRR
Mike A. Botchev
2021 J jnl
Residual and Restarting in Krylov Subspace Evaluation of the φ Function.
SIAM J. Sci. Comput.
Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov
2020 J jnl
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling.
Comput. Math. Appl.
Mike A. Botchev
2020 J jnl
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.
CoRR
Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov
2019 J jnl
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling.
CoRR
Mike A. Botchev
2019 J jnl
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential.
CoRR
Alexandr Katrutsa, Mike A. Botchev, Ivan V. Oseledets
2018 J jnl
An Exponential Time Integrator for the Incompressible Navier-Stokes Equation.
SIAM J. Sci. Comput.
Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts
2018 J jnl
Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources.
J. Comput. Appl. Math.
Mike A. Botchev, Abel M. Hanse, Ravitej Uppu
2017 J jnl
A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations.
J. Comput. Appl. Math.
Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts
2014 J jnl
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.
Comput. Math. Appl.
Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov
2013 J jnl
A block Krylov subspace time-exact solution method for linear ordinary differential equation systems.
Numer. Linear Algebra Appl.
Mike A. Botchev
2013 J jnl
Residual, Restarting, and Richardson Iteration for the Matrix Exponential.
SIAM J. Sci. Comput.
Mike A. Botchev, Volker Grimm, Marlis Hochbruck
2013 J jnl
Time-integration methods for finite element discretisations of the second-order Maxwell equation.
Comput. Math. Appl.
D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt
2011 J jnl
Residual, restarting and Richardson iteration for the matrix exponential, revised
CoRR
Mike A. Botchev
2009 J jnl
Numerical Integration of Damped Maxwell Equations.
SIAM J. Sci. Comput.
Mike A. Botchev, Jan G. Verwer
2008 J jnl
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation.
Comput. Math. Appl.
Oleg V. Nechaev, Ella P. Shurina, Mike A. Botchev
2007 J jnl
Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations.
J. Sci. Comput.
D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt
2006 J jnl
A Class of Nonsymmetric Preconditioners for Saddle Point Problems.
SIAM J. Matrix Anal. Appl.
Mike A. Botchev, Gene H. Golub
2006 J jnl
The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations.
J. Comput. Phys.
Mike A. Botchev, Davit Harutyunyan, Jaap J. W. van der Vegt
2003 — conf
Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model.
LSSC
Mike A. Botchev, István Faragó, Ágnes Havasi