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Classification: MSC-65N22
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2016

Botchev, M.A. (2016) Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling. Journal of Computational and Applied Mathematics, 293. pp. 20-34. ISSN 0377-0427 *** ISI Impact 1,328 ***

2014

Botchev, M.A. and Oseledets, I.V. and Tyrtyshnikov, E.E. (2014) Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation. Computers & Mathematics with Applications, 67 (12). pp. 2088-2098. ISSN 0898-1221 *** ISI Impact 1,398 ***

2013

Botchev, M.A. and Grimm, V. and Hochbruck, M. (2013) Residual, restarting and Richardson iteration for the matrix exponential. SIAM journal on scientific computing, 35 (3). A1376-A1397. ISSN 1064-8275 *** ISI Impact 1,792 ***
Botchev, M.A. and Oseledets, I.V. and Tyrtyshnikov, E.E. (2013) Time stepping free numerical solution of linear differential equations: Krylov subspace versus waveform relaxation. Memorandum 2017, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2012

Botchev, M.A. (2012) A short guide to exponential Krylov subspace time integration for Maxwell's equations. Memorandum 1992, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2010

Botchev, M.A. (2010) Residual, restarting and Richardson iteration for the matrix exponential. Memorandum 1928, Department of Applied Mathematics, University of Twente, Enschede. ISSN 1874-4850

2008

Nechaev, O.V. and Shurina, E.P. and Botchev, M.A. (2008) Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. Computers & Mathematics with Applications, 55 (10). pp. 2346-2362. ISSN 0898-1221 *** ISI Impact 1,398 ***

2006

Botchev, M.A. and Golub, G.H. (2006) A Class of Nonsymmetric Preconditioners for Saddle Point Problems. SIAM Journal on Matrix Analysis and Applications, 27 (4). pp. 1125-1149. ISSN 0895-4798 *** ISI Impact 1,883 ***
Nechaev, O.V. and Shurina, E.P. and Botchev, M.A. (2006) Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation. Memorandum 1806, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2005

Botchev, M.A. and Golub, G.H. (2005) A class of nonsymmetric preconditioners for saddle point problems. Memorandum 1786, Department of Applied Mathematics, University of Twente, Enschede. ISSN 0169-2690

2004

Botchev, M.A. and Golub, G.H. (2004) A class of nonsymmetric preconditioners for saddle point problems. Technical Report SCCM-04-14 Stanford's Scientific Computing and Computational Mathematics Program (SCCM), Stanford. ISSN 1381-3625