| Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ... Journal of Computational Physics 231 (20), 6770-6789, 2012 | 347 | 2012 |
| Error analysis of exponential integrators for oscillatory second-order differential equations V Grimm, M Hochbruck Journal of Physics A: Mathematical and General 39 (19), 5495, 2006 | 126 | 2006 |
| 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 | 99 | 2013 |
| On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations V Grimm Numerische Mathematik 100 (1), 71-89, 2005 | 68 | 2005 |
| Rational approximation to trigonometric operators V Grimm, M Hochbruck BIT Numerical Mathematics 48, 215-229, 2008 | 47 | 2008 |
| Resolvent Krylov subspace approximation to operator functions V Grimm BIT Numerical Mathematics 52 (3), 639-659, 2012 | 46 | 2012 |
| A note on the Gautschi-type method for oscillatory second-order differential equations V Grimm Numerische Mathematik 102, 61-66, 2005 | 45 | 2005 |
| Geometric integration methods that preserve Lyapunov functions V Grimm, GRW Quispel BIT Numerical Mathematics 45, 709-723, 2005 | 38 | 2005 |
| Uniform Approximation of -Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles T Göckler, V Grimm SIAM Journal on Matrix Analysis and Applications 35 (4), 1467-1489, 2014 | 33 | 2014 |
| Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators T Göckler, V Grimm SIAM Journal on Numerical Analysis 51 (4), 2189--2213, 2013 | 33 | 2013 |
| Discrete gradient methods for solving variational image regularisation models V Grimm, RI McLachlan, DI McLaren, GRW Quispel, CB Schönlieb Journal of Physics A: Mathematical and Theoretical 50 (29), 295201, 2017 | 32 | 2017 |
| On the use of the Gautschi-type exponential integrator for wave equations V Grimm Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2005 …, 2006 | 32 | 2006 |
| Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations S Buchholz, L Gauckler, V Grimm, M Hochbruck, T Jahnke IMA Journal of Numerical Analysis 38 (1), 57-74, 2018 | 21 | 2018 |
| Approximation of semigroups and related operator functions by resolvent series V Grimm, M Gugat SIAM journal on numerical analysis 48 (5), 1826-1845, 2010 | 19 | 2010 |
| Exponentielle integratoren als lange-Zeitschritt-Verfahren für oszillatorische Differentialgleichungen zweiter Ordnung V Grimm Doktorarbeit, Mathematisches Institut, Universität Düsseldorf, Germany, 2002 | 13 | 2002 |
| Optimal boundary control of the wave equation with pointwise control constraints M Gugat, V Grimm Computational Optimization and Applications 49, 123-147, 2011 | 11 | 2011 |
| A generalized W-transformation for constructing symplectic partitioned Runge-Kutta methods V Grimm, R Scherer BIT Numerical Mathematics 43, 57-66, 2003 | 8 | 2003 |
| A higher‐order PDE‐based image registration approach V Grimm, S Henn, K Witsch Numerical Linear Algebra with Applications 13 (5), 399-417, 2006 | 6 | 2006 |
| A conjugate-gradient-type rational Krylov subspace method for ill-posed problems V Grimm Inverse Problems 36 (1), 015008, 2019 | 4 | 2019 |
| Automatic Smoothness Detection of the Resolvent Krylov Subspace Method for the Approximation of -Semigroups V Grimm, T Göckler SIAM Journal on Numerical Analysis 55 (3), 1483-1504, 2017 | 4 | 2017 |
G R QuispelLa Trobe UniversityVerified email at latrobe.edu.au
