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
338 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
122 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
97 2013 On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations V Grimm
Numerische Mathematik 100, 71-89, 2005
69 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
46 2005 Geometric integration methods that preserve Lyapunov functions V Grimm, GRW Quispel
BIT Numerical Mathematics 45, 709-723, 2005
37 2005 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
32 2013 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 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
31 2017 Uniform Approximation of T Göckler, V Grimm
SIAM Journal on Matrix Analysis and Applications 35 (4), 1467-1489, 2014
30 2014 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
Zugriff auf https://docserv. uni-duesseldorf. de/servlets/DocumentServlet, 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 V Grimm, T Göckler
SIAM Journal on Numerical Analysis 55 (3), 1483-1504, 2017
4 2017 
G R QuispelLa Trobe UniversityDirección de correo verificada de latrobe.edu.au
