Mike A. Botchev

发表

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

Mike A. Botchev, M. Botchev, 2011, ArXiv.

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

Mike A. Botchev, 1998, HPCN Europe.

Residual, Restarting, and Richardson Iteration for the Matrix Exponential

Marlis Hochbruck, Mike A. Botchev, Volker Grimm, 2010, SIAM J. Sci. Comput..

Numerical Integration of Damped Maxwell Equations

Jan G. Verwer, Mike A. Botchev, J. Verwer, 2008, SIAM J. Sci. Comput..

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

Mike A. Botchev, M. Botchev, 2013, Numer. Linear Algebra Appl..

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

Mike A. Botchev, Bernard J. Geurts, Gijs L. Kooij, 2015, J. Comput. Appl. Math..

The Gautschi Time Stepping Scheme for Edge Finite Element Discretization of the Maxwell Equations

Davit Harutyunyan, Jaap J. W. van der Vegt, Mike A. Botchev, 2005 .

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

István Faragó, Mike A. Botchev, Ágnes Havasi, 2004, LSSC.

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

Jaap J. W. van der Vegt, Mike A. Botchev, D. Sármány, 2012, Comput. Math. Appl..

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

Mike A. Botchev, Abel M. Hanse, R. Uppu, 2017, J. Comput. Appl. Math..

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

Eugene E. Tyrtyshnikov, Mike A. Botchev, Leonid A. Knizhnerman, 2020, ArXiv.

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

Mike A. Botchev, M. Botchev, 2016, J. Comput. Appl. Math..

A Class of Nonsymmetric Preconditioners for Saddle Point Problems

Gene H. Golub, Mike A. Botchev, G. Golub, 2005, SIAM J. Matrix Anal. Appl..

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

Mike A. Botchev, Ella P. Shurina, Oleg V. Nechaev, 2006, Comput. Math. Appl..

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

Mike A. Botchev, 2020, Comput. Math. Appl..

ART: adaptive residual-time restarting for Krylov subspace matrix exponential evaluations pdf

Mike A. Botchev, Leonid A. Knizhnerman, L. Knizhnerman, 2018, J. Comput. Appl. Math..

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

Eugene E. Tyrtyshnikov, Mike A. Botchev, Leonid A. Knizhnerman, 2020, ArXiv.

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

Eugene E. Tyrtyshnikov, Ivan V. Oseledets, Mike A. Botchev, 2014, Comput. Math. Appl..

An Exponential Time Integrator for the Incompressible Navier-Stokes Equation

Mike A. Botchev, Bernard J. Geurts, Gijs L. Kooij, 2018, SIAM J. Sci. Comput..

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

Jaap J. W. van der Vegt, Mike A. Botchev, D. Sármány, 2007, J. Sci. Comput..

Coarse grid corrections in Krylov subspace evaluations of the matrix exponential pdf

Mike A. Botchev, 2021, ArXiv.