Implicit and semi-implicit schemes in the Versatile Advection Code: numerical tests G Tóth, R Keppens, MA Botchev Astronomy and Astrophysics, v. 332, p. 1159-1170 (1998) 332, 1159-1170, 1998 | 116 | 1998 |

FINESSE: Axisymmetric MHD equilibria with flow AJC Beliën, MA Botchev, JP Goedbloed, B van der Holst, R Keppens Journal of computational physics 182 (1), 91-117, 2002 | 104 | 2002 |

Residual, restarting, and Richardson iteration for the matrix exponential MA Botchev, V Grimm, M Hochbruck SIAM journal on scientific computing 35 (3), A1376-A1397, 2013 | 91 | 2013 |

Comparison of computational codes for direct numerical simulations of turbulent Rayleigh–Bénard convection GL Kooij, MA Botchev, EMA Frederix, BJ Geurts, S Horn, D Lohse, ... Computers & Fluids 166, 1-8, 2018 | 85 | 2018 |

Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations D Sármány, MA Botchev, JJW van der Vegt Journal of Scientific Computing 33, 47-74, 2007 | 73 | 2007 |

Implicit and semi‐implicit schemes: Algorithms R Keppens, G Tóth, MA Botchev, A Van Der Ploeg International journal for numerical methods in fluids 30 (3), 335-352, 1999 | 55 | 1999 |

A class of nonsymmetric preconditioners for saddle point problems MA Botchev, GH Golub SIAM Journal on Matrix Analysis and Applications 27 (4), 1125-1149, 2006 | 53 | 2006 |

Numerical integration of damped Maxwell equations MA Botchev, JG Verwer SIAM journal on scientific computing 31 (2), 1322-1346, 2009 | 45 | 2009 |

Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation OV Nechaev, EP Shurina, MA Botchev Computers & Mathematics with Applications 55 (10), 2346-2362, 2008 | 44 | 2008 |

Krylov subspace exponential time domain solution of Maxwell’s equations in photonic crystal modeling MA Botchev Journal of computational and applied mathematics 293, 20-34, 2016 | 36 | 2016 |

Unconditionally stable integration of Maxwell’s equations JG Verwer, MA Botchev Linear Algebra and its Applications 431 (3-4), 300-317, 2009 | 35 | 2009 |

A block Krylov subspace time‐exact solution method for linear ordinary differential equation systems MA Botchev Numerical linear algebra with applications 20 (4), 557-574, 2013 | 33 | 2013 |

A new approximate matrix factorization for implicit time integration in air pollution modeling MA Botchev, JG Verwer Journal of computational and applied mathematics 157 (2), 309-327, 2003 | 33 | 2003 |

ART: Adaptive residual-time restarting for Krylov subspace matrix exponential evaluations MA Botchev, LA Knizhnerman Journal of Computational and Applied Mathematics 364, 112311, 2020 | 32 | 2020 |

Application of operator splitting to the Maxwell equations including a source term MA Botchev, I Faragó, R Horváth Applied numerical mathematics 59 (3-4), 522-541, 2009 | 31 | 2009 |

Testing weighted splitting schemes on a one-column transport-chemistry model M Botchev, I Faragó, Á Havasi International journal of environment and pollution 22 (1-2), 3-16, 2004 | 31 | 2004 |

Direct numerical simulation of Nusselt number scaling in rotating Rayleigh–Bénard convection GL Kooij, MA Botchev, BJ Geurts International journal of heat and fluid flow 55, 26-33, 2015 | 30 | 2015 |

Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates D Harutyunyan, F Izsák, JJW van der Vegt, MA Botchev Computer methods in applied mechanics and engineering 197 (17-18), 1620-1638, 2008 | 29 | 2008 |

A block Krylov subspace implementation of the time-parallel Paraexp method and its extension for nonlinear partial differential equations GL Kooij, MA Botchev, BJ Geurts Journal of computational and applied mathematics 316, 229-246, 2017 | 24 | 2017 |

Stability control for approximate implicit time stepping schemes with minimum residual iterations MA Botchev, GLG Sleijpen, HA Van Der Vorst Applied numerical mathematics 31 (3), 239-253, 1999 | 24 | 1999 |