Author Publications

2013

Botchev, M.A. (2013) Matrix exponential and Krylov subspaces for fast time domain computations: recent advances. In: XXI International Workshop on Optical Wave & Waveguide Theory and Numerical Modelling, OWTNM 2013, 19-20 April 2013, Enschede, the Netherlands.

Sármány, D. and Botchev, M.A. and Vegt van der, J.J.W. (2013) Time-integration methods for finite element discretisations of the second-order Maxwell equation. Computers & Mathematics with Applications, 65 (3). pp. 528-543. ISSN 0898-1221

2012

Botchev, M.A. (2012) A block Krylov subspace time-exact solution method for linear ODE systems. [Report]

Botchev, Mike A. (2012) A short guide to exponential Krylov subspace time integration for Maxwell's equations. [Report]

Sármány, D. and Botchev, M.A. and Vegt van der, J.J.W. (2012) Time-integration methods for finite element discretisations of the second-order Maxwell equation. [Report]

2010

Botchev, M.A. (2010) Residual, restarting and Richardson iteration for the matrix exponential. [Report]

2009

Botchev, M.A. and Verwer, J.G. (2009) Numerical integration of damped Maxwell equations. SIAM Journal on Scientific Computing, 31 (2). pp. 1322-1346. ISSN 1064-8275

Botchev, M.A. and Faragó, I. and Horváth, R. (2009) Application of operator splitting to the Maxwell equations including a source term. Applied Numerical Mathematics, 59 (3-4). pp. 522-541. ISSN 0168-9274

Botchev, M.A. and Sleijpen, G.L.G. and Sopaheluwakan, A. (2009) An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems. Linear Algebra and its Applications, 431 (3-4). pp. 427-440. ISSN 0024-3795

Sármány, D. and Botchev, M.A. and Vegt van der, J.J.W. and Verwer, J.G. (2009) Comparing DG and Nedelec finite element discretisations of the second-order time-domain Maxwell equation. [Report]

Verwer, J.G. and Botchev, M.A. (2009) Unconditionally stable integration of Maxwell's equations. Linear Algebra and its Applications, 431 (3-4). pp. 300-317. ISSN 0024-3795

2008

Botchev, M.A. and Sleijpen, G.L.G. and Sopaheluwakan, A. (2008) An SVD-approach to Jacobi-Davidson solution of nonlinear Helmholtz eigenvalue problems. [Report]

Botchev, M.A. and Verwer, J.G. (2008) Numerical integration of damped Maxwell equations. [Report]

Harutyunyan, D. and Izsák, F. and Vegt van der, J.J.W. and Botchev, M.A. (2008) Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates. Computer Methods in Applied Mechanics and Engineering, 197 (17-18). pp. 1620-1638. ISSN 0045-7825

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

Verwer, J.G. and Botchev, M.A. (2008) Unconditionally stable integration of Maxwell's equations. [Report]

2007

Botchev, M.A. and Faragó, I. and Horváth, R. (2007) Application of the operator splitting to the Maxwell equations with the source term. [Report]

Sármány, D. and Botchev, M.A. and Vegt van der, J.J.W. (2007) Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisations of the Maxwell equations. Journal of Scientific Computing, 33 (1). pp. 47-74. ISSN 0885-7474

Sármány, D. and Botchev, M.A. and van der Vegt, J.J.W. (2007) Dispersion and dissipation error in high-order Runge-Kutta discontinuous Galerkin discretisation of the Maxwell eqations. [Report]

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

Botchev, M.A. and Harutyunyan, D. and van der Vegt, J.J.W. (2006) The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations. Journal of Computational Physics, 216 (2). pp. 654-686. ISSN 0021-9991

Harutyunyan, D. and Izsák, F. and van der Vegt, J.J.W. and Botchev, M.A. (2006) Adaptive finite element techniques for the Maxwell equations using implicit a posteriori error estimates. [Report]

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. [Report]

2005

Botchev, M.A. and Golub, G.H. (2005) A class of nonsymmetric preconditioners for saddle point problems. [Report]

Botchev, M.A. and Harutyunyan, D. and van der Vegt, J.J.W. (2005) The Gautschi time stepping scheme for edge finite element discretization of the Maxwell equations. [Report]

Botchev, M.A. and Harutyunyan, D. and van der Vegt, J.J.W. (2005) The Gautschi time stepping scheme for edge finite element discretizations of the Maxwell equations. [Report]

2004

Botchev, M.A. and Farago, I. and Havasi, A. (2004) Testing weighted splitting schemes on a one-column transport-chemistry model. In: Large-Scale Scientific Computing, 4th International Conference, LSSC 2003, June 4-8, 2003, Sozopol, Bulgaria.

Botchev, M.A. and Farago, I. and Havasi, A. (2004) Testing weighted splitting schemes on a one-column transport-chemistry model. International Journal of Environment and Pollution, 22 (1/2). pp. 3-16. ISSN 0957-4352

Botchev, M.A. and Golub, G.H. (2004) A class of nonsymmetric preconditioners for saddle point problems. [Report]

2003

Botchev, M.A. and Verwer, J.G. (2003) A new approximate matrix factorization for implicit time integration in air pollution modeling. Journal of Computational and Applied Mathematics, 157 (2). pp. 309-327. ISSN 0377-0427

2002

Beliën, A.J.C. and Botchev, M.A. and Goedbloed, J.P. and van der Holst, B. and Keppens, R. (2002) New numerical tools to study waves and instabilities of flowing plasmas. Computer Physics Communications, 147 (1-2). pp. 497-500. ISSN 0010-4655

Beliën, A.J.C. and Botchev, M.A. and Goedbloed, J.P. and van der Holst, B. and Keppens, R. (2002) FINESSE: axisymmetric MHD equilibria with flow. Journal of Computational Physics, 182 (1). pp. 91-117. ISSN 0021-9991

Berkvens, P.J.F. and Botchev, M.A. (2002) Parallel processing and non-uniform grids in global air quality modeling. In: Proceedings of the Second Conference on Air Pollution Modelling and Simulation, APMS'01, April 9-12, 2001, Champs-sur-Marne, France.

Berkvens, P.J.F. and Botchev, M.A. and Krol, M.C. and Peters, W. and Verwer, J.G. (2002) Solving vertical transport and chemistry in air pollution models. In: Atmospheric Modeling, Proceedings of the IMA workshop on Atmospheric Modeling, March 15-19, 2000, Minneapolis, USA.

Krol, M.C. and Peters, W. and Berkvens, P.J.F. and Botchev, M.A. (2002) A new algorithm for two-way nesting in global models: principles and applications. In: Proceedings of the Second Conference on Air Pollution Modelling and Simulation, APMS'01, April 9-12, 2001, Champs-sur-Marne, France.

2001

Beliën, A.J.C. and Botchev, M.A. and Goedbloed, J.P. and van der Holst, B. (2001) Influence of poloidal flow on TAE modes. In: Proceedings of the 28th European Physical Society Conference on Controlled Fusion and Plasma Physics, June 18-22, 2001, Funchal, Portugal.

Botchev, M.A. and van der Vorst, H.A. (2001) A parallel nearly implicit time-stepping scheme. Journal of Computational and Applied Mathematics, 137 (2). pp. 229-243. ISSN 0377-0427

2000

Berkvens, P.J.F. and Botchev, M.A. and Verwer, J.G. (2000) On the efficient treatment of vertical mixing and chemistry in air pollution modeling. In: Proceedings of the 16th IMACS World Congress, August 21-25, 2000, Lausanne, Switzerland.

Berkvens, P.J.F. and Botchev, M.A. and Verwer, J.G. and Krol, M.C. and Peters, W. (2000) Solving Vertical Transport and Chemistry in Air Pollution Models. [Report]

Botchev, M.A. and Verwer, J.G. (2000) Improving approximate matrix factorizations for implicit time integration in air pollution modelling. [Report]

1999

Berkvens, P.J.F. and Botchev, M.A. and Lioen, W. and Verwer, J.G. (1999) A Zooming Technique for Wind Transport of Air Pollution. [Report]

Berkvens, P.J.F. and Botchev, M.A. and Lioen, W.M. and Verwer, J.G. (1999) A zooming technique for wind transport of air pollution. In: Finite Volumes for Complex Applications II - Problems and Perspectives, July 19-22, 1999, Duisburg, Germany.

Botchev, M.A. and Sleijpen, G.L.G. and van der Vorst, H.A. (1999) Stability control for approximate implicit time-stepping schemes with minimal residual iterations. Applied Numerical Mathematics, 31 (3). pp. 239-253. ISSN 0168-9274

Keppens, R. and Toth, G. and Botchev, M.A. and van der Ploeg, A. (1999) Implicit and semi-implicit schemes: algorithms. International Journal for Numerical Methods in Fluids, 30 (3). pp. 335-352. ISSN 0271-2091

1998

Botchev, M.A. (1998) Experiments with MRAI time stepping schemes on a distributed memory parallel environment. In: High-Performance Computing and Networking, International Conference and Exhibition, Aplril 21-23, 1998, Amsterdam, the Netherlands.

Tóth, G. and Keppens, R. and Botchev, M.A. (1998) Implicit and semi-implicit schemes in the Versatile Advection Code : numerical tests. Astronomy and Astrophysics, 332 . pp. 1159-1170. ISSN 0004-6361

1997

Botchev, M.A. and Krukier, L.A. (1997) On an iterative solution of strongly nonsymmetric systems of linear algebraic equations. Computational Mathematics and Mathematical Physics, 37 (11). pp. 1241-1251. ISSN 0965-5425

Nadolin, K.A. and Botchev, M.A. and Nicolayev, I.A. (1997) Substance advection by a steady 2D stream of the viscous fluid in a lengthy free-surfaced canal. In: Turbulence, Heat and Mass Transfer 2: Proceedings of the Second International Symposium on Turbulence, Heat and Mass Transfer, June 9-12, 1997, Delft, the Netherlands.

1996

Botchev, M.A. (1996) On Ad-hoc Upwind Implicit Difference Schemes for Parabolic P.D.E. of the Convection-Diffusion Type. Zeitschrift für Angewandte Mathematik und Mechanik, 76 (Suppl.). pp. 361-362. ISSN 0044-2267

Krukier, L.A. and Botchev, M.A. (1996) On Skew-symmetric Preconditioning for Strongly Non-symmetric Linear Systems. Zeitschrift für Angewandte Mathematik und Mechanik, 76 (Suppl.). pp. 483-484. ISSN 0044-2267

1995

Botchev, M.A. (1995) On the stability of nonselfadjoint difference schemes with M-matrices for evolution boundary value problems with an elliptic operator with respect to space. Russian Mathematics (Izvestiya VUZ. Matematika), 39 (9). pp. 13-20. ISSN 1066-369X