Mike A. Botchev

Orcid: 0000-0001-5901-7120

Affiliations:
  • Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
  • University of Twente, Enschede, Netherlands (former)


According to our database1, Mike A. Botchev authored at least 29 papers between 1998 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Krylov Subspace Residual and Restarting for Certain Second Order Differential Equations.
SIAM J. Sci. Comput., 2024

2023
Coarse Grid Corrections in Krylov Subspace Evaluations of the Matrix Exponential.
SIAM J. Sci. Comput., June, 2023

On convergence of waveform relaxation for nonlinear systems of ordinary differential equations.
CoRR, 2023

2022
Exponential Euler and backward Euler methods for nonlinear heat conduction problems.
CoRR, 2022

2021
Residual and Restarting in Krylov Subspace Evaluation of the φ Function.
SIAM J. Sci. Comput., 2021

2020
ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations.
J. Comput. Appl. Math., 2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.
CoRR, 2020

Exponential time integrators for unsteady advection-diffusion problems on refined meshes.
CoRR, 2020

A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling.
Comput. Math. Appl., 2020

2019
An accurate restarting for shift-and-invert Krylov subspaces computing matrix exponential actions of nonsymmetric matrices.
CoRR, 2019

Predicting dynamical system evolution with residual neural networks.
CoRR, 2019

Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential.
CoRR, 2019

2018
An Exponential Time Integrator for the Incompressible Navier-Stokes Equation.
SIAM J. Sci. Comput., 2018

Exponential Krylov time integration for modeling multi-frequency optical response with monochromatic sources.
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.
J. Comput. Appl. Math., 2017

2016
Krylov subspace exponential time domain solution of Maxwell's equations in photonic crystal modeling.
J. Comput. Appl. Math., 2016

2014
Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.
Comput. Math. Appl., 2014

2013
Residual, Restarting, and Richardson Iteration for the Matrix Exponential.
SIAM J. Sci. Comput., 2013

A block Krylov subspace time-exact solution method for linear ordinary differential equation systems.
Numer. Linear Algebra Appl., 2013

Time-integration methods for finite element discretisations of the second-order Maxwell equation.
Comput. Math. Appl., 2013

2011
Residual, restarting and Richardson iteration for the matrix exponential, revised
CoRR, 2011

Block Krylov subspace exact time integration of linear ODE systems. Part 1: algorithm description
CoRR, 2011

2009
Numerical Integration of Damped Maxwell Equations.
SIAM J. Sci. Comput., 2009

2008
Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation.
Comput. Math. Appl., 2008

2007
Dispersion and Dissipation Error in High-Order Runge-Kutta Discontinuous Galerkin Discretisations of the Maxwell Equations.
J. Sci. Comput., 2007

2006
A Class of Nonsymmetric Preconditioners for Saddle Point Problems.
SIAM J. Matrix Anal. Appl., 2006

The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations.
J. Comput. Phys., 2006

2003
Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model.
Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003

1998
Experiments with MRAI Time Stepping Schemes on a Distributed Memory Parallel Environment.
Proceedings of the High-Performance Computing and Networking, 1998


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