Mike A. Botchev

According to our database, Mike A. Botchev authored at least 29 papers between 1998 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations.

Mike A. Botchev, Leonid Knizhnerman, Marcel Schweitzer

SIAM J. Sci. Comput., 2024

2023

Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential.

Mike A. Botchev

SIAM J. Sci. Comput., June, 2023

On convergence of waveform relaxation for nonlinear systems of ordinary differential equations.

Mike A. Botchev

CoRR, 2023

2022

Exponential Euler and backward Euler methods for nonlinear heat conduction problems.

Mikhail A. Botchev, Victor T. Zhukov

CoRR, 2022

2021

Residual and Restarting in Krylov Subspace Evaluation of the φ Function.

Mike A. Botchev, Leonid Knizhnerman, Eugene E. Tyrtyshnikov

SIAM J. Sci. Comput., 2021

2020

ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations.

Mikhail A. Botchev, Leonid A. Knizhnerman

J. Comput. Appl. Math., 2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.

Mike A. Botchev, Leonid A. Knizhnerman, Eugene E. Tyrtyshnikov

CoRR, 2020

Exponential time integrators for unsteady advection-diffusion problems on refined meshes.

Mikhail A. Botchev

CoRR, 2020

A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling.

Mike A. Botchev

Comput. Math. Appl., 2020

2019

An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices.

Mikhail A. Botchev

CoRR, 2019

Predicting dynamical system evolution with residual neural networks.

Artem V. Chashchin, Mikhail A. Botchev, Ivan V. Oseledets, Grigory V. Ovchinnikov

CoRR, 2019

Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential.

Alexandr Katrutsa, Mike A. Botchev, Ivan V. Oseledets

CoRR, 2019

2018

An Exponential Time Integrator for the Incompressible Navier-Stokes Equation.

Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts

SIAM J. Sci. Comput., 2018

Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources.

Mike A. Botchev, Abel M. Hanse, R. Uppu

J. Comput. Appl. Math., 2018

2017

A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations.

Gijs L. Kooij, Mike A. Botchev, Bernard J. Geurts

J. Comput. Appl. Math., 2017

2016

Krylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modeling.

Mikhail A. Botchev

J. Comput. Appl. Math., 2016

2014

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.

Mike A. Botchev, Ivan V. Oseledets, Eugene E. Tyrtyshnikov

Comput. Math. Appl., 2014

2013

Residual, Restarting, and Richardson Iteration for the Matrix Exponential.

Mike A. Botchev, Volker Grimm, Marlis Hochbruck

SIAM J. Sci. Comput., 2013

A block Krylov subspace time-exact solution method for linear ordinary differential equation systems.

Mike A. Botchev

Numer. Linear Algebra Appl., 2013

Time-integration methods for finite element discretisations of the second-order Maxwell equation.

D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt

Comput. Math. Appl., 2013

2011

Residual, restarting and Richardson iteration for the matrix exponential, revised

Mike A. Botchev

CoRR, 2011

Block Krylov subspace exact time integration of linear ODE systems. Part 1: algorithm description

Mikhail A. Botchev

CoRR, 2011

2009

Numerical Integration of Damped Maxwell Equations.

Mike A. Botchev, Jan G. Verwer

SIAM J. Sci. Comput., 2009

2008

Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation.

Oleg V. Nechaev, Ella P. Shurina, Mike A. Botchev

Comput. Math. Appl., 2008

2007

Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations.

D. Sármány, Mike A. Botchev, Jaap J. W. van der Vegt

J. Sci. Comput., 2007

2006

A Class of Nonsymmetric Preconditioners for Saddle Point Problems.

Mike A. Botchev, Gene H. Golub

SIAM J. Matrix Anal. Appl., 2006

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations.

Mike A. Botchev, Davit Harutyunyan, Jaap J. W. van der Vegt

J. Comput. Phys., 2006

2003

Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model.

Mike A. Botchev, István Faragó, Ágnes Havasi

Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

1998

Experiments with MRAI Time Stepping Schemes on a Distributed Memory Parallel Environment.

Mikhail A. Botchev

Proceedings of the High-Performance Computing and Networking, 1998