Publikationsliste

Discrete gradients in short-range molecular dynamics simulations
Grimm, V.; Kliesch, T.; Quispel, G. R. W.
2024. Numerical Algorithms, 96 (3), 1189–1220. doi:10.1007/s11075-023-01717-4  

Discrete gradients in short-range molecular dynamics simulations
Grimm, V.; Kliesch, T.; Quispel, G. R. W.
2022. doi:10.48550/arXiv.2212.14344 

A conjugate-gradient-type rational Krylov subspace method for ill-posed problems
Grimm, V.
2020. Inverse problems, 36 (1), Art. Nr.: 015008. doi:10.1088/1361-6420/ab5819  

Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations
Buchholz, S.; Gauckler, L.; Grimm, V.; Hochbruck, M.; Jahnke, T.
2018. IMA journal of numerical analysis, 38 (1), 57–74. doi:10.1093/imanum/drx007 

Acceleration of contour integration techniques by rational Krylov subspace methods
Göckler, T.; Grimm, V.
2017. Journal of computational and applied mathematics, 316, 133–142. doi:10.1016/j.cam.2016.08.040 

Automatic smoothness detection of the resolvent Krylov subspace method for the approximation of C0-semigroups
Grimm, V.; Göckler, T.
2017. SIAM journal on numerical analysis, 55 (3), 1483–1504. doi:10.1137/15M104880X 

Discrete gradient methods for solving variational image regularisation models
Grimm, V.; McLachlan, R. I.; McLaren, D. I.; Quispel, G. R. W.; Schönlieb, C.-B.
2017. Journal of physics / A, 50 (29), Art.Nr.: 295201. doi:10.1088/1751-8121/aa747c 

Uniform Approximation of -Functions in Exponential Integrators by a Rational Krylov Subspace Method with Simple Poles
Göckler, T.; Grimm, V.
2014. SIAM Journal on Matrix Analysis and Applications, 35 (4), 1467–1489. doi:10.1137/140964655 

Convergence Analysis of an Extended Krylov Subspace Method for the Approximation of Operator Functions in Exponential Integrators
Göckler, T.; Grimm, V.
2013. SIAM Journal on Numerical Analysis, 51 (4), 2189–2213. doi:10.1137/12089226X 

Residual, restarting and Richardson iteration for the matrix exponential
Botchev, M. A.; Grimm, V.; Hochbruck, M.
2013. SIAM Journal on Scientific Computing, 35 (3), A1376-A1397. doi:10.1137/110820191  

Resolvent Krylov subspace approximation to operator functions
Grimm, V.
2012. BIT Numerical Mathematics, 52 (3), 639–659. doi:10.1007/s10543-011-0367-8 

Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method
Celledoni, E.; Grimm, V.; McLachlan, R. I.; McLaren, D. I.; O’Neale, D.; Owren, B.; Quispel, G. R. W.
2012. Journal of Computational Physics, 231 (20), 6770–6789. doi:10.1016/j.jcp.2012.06.022 

Residual, Restarting and Richardson Iteration for the Matrix Exponential
Botchev, M. A.; Grimm, V.; Hochbruck, M.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000031191  

Optimal boundary control of the wave equation with pointwise control constraints
Gugat, M.; Grimm, V.
2011. Computational Optimization and Applications, 49 (1), 123–147. doi:10.1007/s10589-009-9289-7 

Approximation of Semigroups and Related Operator Functions by Resolvent Series
Grimm, V.; Gugat, M.
2010. SIAM Journal on Numerical Analysis, 48 (5), 1826–1845. doi:10.1137/090768084 

Geometric integration methods that unconditionally contract volume
Grimm, V.; Quispel, G. R. W.
2008. Applied Numerical Mathematics, 58 (8), 1103–1112. doi:10.1016/j.apnum.2007.04.018 

Rational approximation to trigonometric operators
Grimm, V.; Hochbruck, M.
2008. BIT Numerical Mathematics, 48 (2), 215–229. doi:10.1007/s10543-008-0185-9  

A higher-order PDE-based image registration approach
Grimm, V.; Henn, S.; Witsch, K.
2006. Numerical Linear Algebra with Applications, 13 (5), 399–417. doi:10.1002/nla.467 

On the Use of the Gautschi-Type Exponential Integrator for Wave Equations
Grimm, V.
2006. Numerical Mathematics and Advanced Applications : Proceedings of ENUMATH 2005 the 6th European Conference on Numerical Mathematics and Advanced Applications, Santiago de Compostela, Spain, July 2005. Ed.: A. de Castro, 557–563, Springer-Verlag. doi:10.1007/978-3-540-34288-5_52 

Error analysis of exponential integrators for oscillatory second-order differential equations
Hochbruck, M.; Grimm, V.
2006. Journal of Physics A: Mathematical and General, 39, 5495–5507. doi:10.1088/0305-4470/39/19/S10  

Exponential integrators for highly oscillatory differential equations
Grimm, V.; Hochbruck, M.
2006. Oberwolfach Reports, 3 (1), 868–869 

Geometric Integration Methods that Preserve Lyapunov Functions
Grimm, V.; Quispel, G. R. W.
2005. BIT Numerical Mathematics, 45 (4), 709–723. doi:10.1007/s10543-005-0034-z 

A note on the Gautschi-type method for oscillatory second-order differential equations
Grimm, V.
2005. Numerische Mathematik, 102 (1), 61–66. doi:10.1007/s00211-005-0639-9 

On error bounds for the Gautschi-type exponential integrator applied to oscillatory second-order differential equations
Grimm, V.
2005. Numerische Mathematik, 100 (1), 71–89. doi:10.1007/s00211-005-0583-8 

A Generalized W-Transformation for Constructing Symplectic Partitioned Runge-Kutta Methods
Grimm, V.; Scherer, R.
2003. BIT Numerical Mathematics, 43 (1), 57–66. doi:10.1023/A:1023676219630 

A generalized W-transformation for constructing symplectic partitioned Runge-Kutta-methods
Grimm, V.; Scherer, R.
2001. Universität Karlsruhe (TH)