Mike A. Botchev

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 13

Top Topics

Differential Equations

Top Venues

SIAM J. Sci. Comput.

J. Comput. Appl. Math.

Comput. Math. Appl.

Publications

Mike A. Botchev, Leonid Knizhnerman, Marcel Schweitzer
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations. SIAM J. Sci. Comput. 46 (2) (2024)
Mike A. Botchev
On convergence of waveform relaxation for nonlinear systems of ordinary differential equations. CoRR (2023)
Mike A. Botchev
Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential. SIAM J. Sci. Comput. 45 (3) (2023)
Mike A. Botchev, Leonid A. Knizhnerman, M. Schweitzer
Krylov subspace residual and restarting for certain second order differential equations. CoRR (2022)
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) (2021)
Mike A. Botchev
Coarse grid corrections in Krylov subspace evaluations of the matrix exponential. CoRR (2021)
Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov
A residual concept for Krylov subspace evaluation of the 𝓁 matrix function. CoRR (2020)
Mike A. Botchev
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling. Comput. Math. Appl. 80 (2) (2020)
Alexandr Katrutsa, Mike A. Botchev, Ivan V. Oseledets
Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential. CoRR (2019)
Mike A. Botchev
A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling. CoRR (2019)
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)
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 (2018)
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 (2017)
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) (2014)
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) (2013)
Mike A. Botchev, Volker Grimm, Marlis Hochbruck
Residual, Restarting, and Richardson Iteration for the Matrix Exponential. SIAM J. Sci. Comput. 35 (3) (2013)
Mike A. Botchev
A block Krylov subspace time-exact solution method for linear ordinary differential equation systems. Numer. Linear Algebra Appl. 20 (4) (2013)
Mike A. Botchev
Residual, restarting and Richardson iteration for the matrix exponential, revised CoRR (2011)
Mike A. Botchev, Jan G. Verwer
Numerical Integration of Damped Maxwell Equations. SIAM J. Sci. Comput. 31 (2) (2009)
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) (2008)
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) (2007)
Mike A. Botchev, Gene H. Golub
A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM J. Matrix Anal. Appl. 27 (4) (2006)
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) (2006)
Mike A. Botchev, István Faragó, Ágnes Havasi
Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model. LSSC (2003)