Prof. Dr. Tobias Jahnke
- Raum: 3.042
CS 20.30 - Tel.: +49 721 608-47982
- www.math.kit.edu/ianm3/~jahnke/
- Englerstr. 2
D-76131 Karlsruhe
Aktuelles
Im Wintersemester 2026/27 biete ich ein Seminar an. In der hier verlinkten Datei finden Sie mögliche Vortragsthemen.
Publikationsliste
2026
Improved Error Bounds for Approximations of High-Frequency Wave Propagation in Nonlinear Dispersive Media
Baumstark, J.; Jahnke, T.
2026. Asymptotic Analysis, 147 (4), 582–617. doi:10.1177/09217134251356897
Baumstark, J.; Jahnke, T.
2026. Asymptotic Analysis, 147 (4), 582–617. doi:10.1177/09217134251356897
2025
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations
Jahnke, T.; Kirn, M.
2025. IMA Journal of Numerical Analysis. doi:10.1093/imanum/draf085
Jahnke, T.; Kirn, M.
2025. IMA Journal of Numerical Analysis. doi:10.1093/imanum/draf085
2024
Employing nonresonant step sizes for time integration of highly oscillatory nonlinear Dirac equations
Jahnke, T.; Kirn, M.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000175882
Jahnke, T.; Kirn, M.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000175882
Analytical and numerical approximations to highly oscillatory solutions of nonlinear Friedrichs systems
Jahnke, T.; Mödl, J.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000175756
Jahnke, T.; Mödl, J.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000175756
Improved error bounds for approximations of high-frequency wave propagation in nonlinear dispersive media
Baumstark, J.; Jahnke, T.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000168785
Baumstark, J.; Jahnke, T.
2024. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000168785
Polarized High-frequency Wave Propagation Beyond the Nonlinear Schrödinger Approximation
Baumstark, J.; Jahnke, T.; Lubich, C.
2024. SIAM Journal on Mathematical Analysis, 56 (1), 454–473. doi:10.1137/22M1504810
Baumstark, J.; Jahnke, T.; Lubich, C.
2024. SIAM Journal on Mathematical Analysis, 56 (1), 454–473. doi:10.1137/22M1504810
2023
Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media
Zerulla, K.; Jahnke, T.
2023. Journal of Mathematical Analysis and Applications, 527 (1), Art.-Nr.: 127355. doi:10.1016/j.jmaa.2023.127355
Zerulla, K.; Jahnke, T.
2023. Journal of Mathematical Analysis and Applications, 527 (1), Art.-Nr.: 127355. doi:10.1016/j.jmaa.2023.127355
Splitting integrators for stochastic Lie–Poisson systems
Bréhier, C.-E.; Cohen, D.; Jahnke, T.
2023. Mathematics of Computation, 92 (343), 2167 – 2216. doi:10.1090/mcom/3829
Bréhier, C.-E.; Cohen, D.; Jahnke, T.
2023. Mathematics of Computation, 92 (343), 2167 – 2216. doi:10.1090/mcom/3829
Global continua of solutions to the Lugiato–Lefever model for frequency combs obtained by two-mode pumping
Gasmi, E.; Jahnke, T.; Kirn, M.; Reichel, W.
2023. Zeitschrift für angewandte Mathematik und Physik, 74 (4), Art.-Nr.: 168. doi:10.1007/s00033-023-02060-3
Gasmi, E.; Jahnke, T.; Kirn, M.; Reichel, W.
2023. Zeitschrift für angewandte Mathematik und Physik, 74 (4), Art.-Nr.: 168. doi:10.1007/s00033-023-02060-3
On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation
Jahnke, T.; Kirn, M.
2023. BIT Numerical Mathematics, 63 (2), 26. doi:10.1007/s10543-023-00971-1
Jahnke, T.; Kirn, M.
2023. BIT Numerical Mathematics, 63 (2), 26. doi:10.1007/s10543-023-00971-1
Approximation of High-Frequency Wave Propagation in Dispersive Media
Baumstark, J.; Jahnke, T.
2023. SIAM Journal on Mathematical Analysis, 55 (2), 1214–1245. doi:10.1137/22M1474035
Baumstark, J.; Jahnke, T.
2023. SIAM Journal on Mathematical Analysis, 55 (2), 1214–1245. doi:10.1137/22M1474035
Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2023. International Journal for Numerical Methods in Biomedical Engineering, 39 (2), Art.-Nr.: e3666. doi:10.1002/cnm.3666
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2023. International Journal for Numerical Methods in Biomedical Engineering, 39 (2), Art.-Nr.: e3666. doi:10.1002/cnm.3666
2022
A Multilevel Stochastic Collocation Method for Schrödinger Equations with a Random Potential
Jahnke, T.; Stein, B.
2022. SIAM/ASA Journal on Uncertainty Quantification, 10 (4), 1753–1780. doi:10.1137/21M1440517
Jahnke, T.; Stein, B.
2022. SIAM/ASA Journal on Uncertainty Quantification, 10 (4), 1753–1780. doi:10.1137/21M1440517
Analysis of a Peaceman–Rachford ADI scheme for Maxwell equations in heterogenous media
Zerulla, K.; Jahnke, T.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000152910
Zerulla, K.; Jahnke, T.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000152910
Global continua of solutions to the Lugiato–Lefever model for frequency combs obtained by two-mode pumping
Gasmi, E.; Jahnke, T.; Kirn, M.; Reichel, W.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000151945
Gasmi, E.; Jahnke, T.; Kirn, M.; Reichel, W.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000151945
Efficient time splitting schemes for the monodomain equation in cardiac electrophysiology
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000149976
Lindner, L. P.; Gerach, T.; Jahnke, T.; Loewe, A.; Weiss, D.; Wieners, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000149976
Polarized high-frequency wave propagation beyond the nonlinear Schrödinger approximation
Baumstark, J.; Jahnke, T.; Lubich, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000148063
Baumstark, J.; Jahnke, T.; Lubich, C.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000148063
A multi-level stochastic collocation method for Schrödinger equations with a random potential
Jahnke, T.; Stein, B.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000143727
Jahnke, T.; Stein, B.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000143727
Approximation of high-frequency wave propagation in dispersive media
Baumstark, J.; Jahnke, T.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000142639
Baumstark, J.; Jahnke, T.
2022. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000142639
2019
Adiabatic exponential midpoint rule for the dispersion-managed nonlinear Schrödinger equation
Jahnke, T.; Mikl, M.
2019. IMA journal of numerical analysis, 39 (4), 1818–1859. doi:10.1093/imanum/dry045
Jahnke, T.; Mikl, M.
2019. IMA journal of numerical analysis, 39 (4), 1818–1859. doi:10.1093/imanum/dry045
Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory
Gärtner, J.; Trocha, P.; Mandel, R.; Koos, C.; Jahnke, T.; Reichel, W.
2019. Physical review / A, 100 (3), 033819. doi:10.1103/PhysRevA.100.033819
Gärtner, J.; Trocha, P.; Mandel, R.; Koos, C.; Jahnke, T.; Reichel, W.
2019. Physical review / A, 100 (3), 033819. doi:10.1103/PhysRevA.100.033819
Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations
Eilinghoff, J.; Jahnke, T.; Schnaubelt, R.
2019. SIAM journal on numerical analysis, 57 (3), 1036–1057. doi:10.1137/18M1203377
Eilinghoff, J.; Jahnke, T.; Schnaubelt, R.
2019. SIAM journal on numerical analysis, 57 (3), 1036–1057. doi:10.1137/18M1203377
2018
Adiabatic midpoint rule for the dispersion-managed nonlinear Schrödinger equation
Jahnke, T.; Mikl, M.
2018. Numerische Mathematik, 138 (4), 975–1009. doi:10.1007/s00211-017-0926-2
Jahnke, T.; Mikl, M.
2018. Numerische Mathematik, 138 (4), 975–1009. doi:10.1007/s00211-017-0926-2
Bandwidth and conversion efficiency analysis of dissipative Kerr soliton frequency combs based on bifurcation theory
Gärtner, J.; Trocha, P.; Mandel, R.; Koos, C.; Jahnke, T.; Reichel, W.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000089036
Gärtner, J.; Trocha, P.; Mandel, R.; Koos, C.; Jahnke, T.; Reichel, W.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000089036
Stochastic Galerkin-collocation splitting for PDEs with random parameters
Jahnke, T.; Stein, B.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000086905
Jahnke, T.; Stein, B.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000086905
Error analysis of an energy preserving ADI splitting scheme for the Maxwell equation
Eilinghoff, J.; Jahnke, T.; Schnaubelt, R.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085151
Eilinghoff, J.; Jahnke, T.; Schnaubelt, R.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000085151
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
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
2017
Strang splitting for a semilinear Schrödinger equation with damping and forcing
Jahnke, T.; Mikl, M.; Schnaubelt, R.
2017. Journal of mathematical analysis and applications, 455 (2), 1051–1071. doi:10.1016/j.jmaa.2017.06.004
Jahnke, T.; Mikl, M.; Schnaubelt, R.
2017. Journal of mathematical analysis and applications, 455 (2), 1051–1071. doi:10.1016/j.jmaa.2017.06.004
2016
Adiabatic Midpoint Rule for the dispersion-managed nonlinear Schrödinger Equation
Jahnke, T.; Mikl, M.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000060572
Jahnke, T.; Mikl, M.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000060572
Strang splitting for a semilinear Schrödinger equation with damping and forcing
Jahnke, T.; Mikl, M.; Schnaubelt, R.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000052585
Jahnke, T.; Mikl, M.; Schnaubelt, R.
2016. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000052585
2014
On the approximation of high-dimensional differential equations in the hierarchical Tucker format
Arnold, A.; Jahnke, T.
2014. BIT - Numerical Mathematics, 54 (2), 305–341. doi:10.1007/s10543-013-0444-2
Arnold, A.; Jahnke, T.
2014. BIT - Numerical Mathematics, 54 (2), 305–341. doi:10.1007/s10543-013-0444-2
Convergence of an ADI splitting for Maxwell’s equations
Hochbruck, M.; Jahnke, T.; Schnaubelt, R.
2014. Numerische Mathematik, 129 (3), 535–561. doi:10.1007/s00211-014-0642-0
Hochbruck, M.; Jahnke, T.; Schnaubelt, R.
2014. Numerische Mathematik, 129 (3), 535–561. doi:10.1007/s00211-014-0642-0
2012
Convergence of piecewise deterministic processes modeling two-scale reaction networks
Jahnke, T.
2012. 10th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM’12), Kos, Greece, September 19-25, 2012. Ed.: T.E. Simos, 31/1–1, American Institute of Physics (AIP). doi:10.1063/1.4756055
Jahnke, T.
2012. 10th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM’12), Kos, Greece, September 19-25, 2012. Ed.: T.E. Simos, 31/1–1, American Institute of Physics (AIP). doi:10.1063/1.4756055
Error Bound for Piecewise Deterministic Processes Modeling Stochastic Reaction Systems
Jahnke, T.; Kreim, M.
2012. Multiscale Modeling and Simulation, 10 (4), 1119–1147. doi:10.1137/120871894
Jahnke, T.; Kreim, M.
2012. Multiscale Modeling and Simulation, 10 (4), 1119–1147. doi:10.1137/120871894
On the approximation of high-dimensional differential equations in the hierarchical Tucker format
Arnold, A.; Jahnke, T.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000029523
Arnold, A.; Jahnke, T.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000029523
Error bound for piecewise deterministic processes modeling stochastic reaction systems
Jahnke, T.; Kreim, M.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000028339
Jahnke, T.; Kreim, M.
2012. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000028339
2011
On Reduced Models for the Chemical Master Equation
Jahnke, T.
2011. Multiscale Modeling and Simulation, 9 (4), 1646–1676. doi:10.1137/110821500
Jahnke, T.
2011. Multiscale Modeling and Simulation, 9 (4), 1646–1676. doi:10.1137/110821500
On Reduced Models For The Chemical Master Equation
Jahnke, T.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024897
Jahnke, T.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024897
Efficient simulation of discrete stochastic reaction systems with a splitting method
Jahnke, T.; Altintan, D.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024896
Jahnke, T.; Altintan, D.
2011. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000024896
2010
Solving chemical master equations by adaptive wavelet compression
Jahnke, T.; Udrescu, T.
2010. Journal of Computational Physics, 229 (16), 5724–5741. doi:10.1016/j.jcp.2010.04.015
Jahnke, T.; Udrescu, T.
2010. Journal of Computational Physics, 229 (16), 5724–5741. doi:10.1016/j.jcp.2010.04.015
Efficient simulation of discrete stochastic reaction systems with a splitting method
Jahnke, T.; Altintan, D.
2010. BIT - Numerical Mathematics, 50 (4), 797–822. doi:10.1007/s10543-010-0286-0
Jahnke, T.; Altintan, D.
2010. BIT - Numerical Mathematics, 50 (4), 797–822. doi:10.1007/s10543-010-0286-0
An Adaptive Wavelet Method for the Chemical Master Equation
Jahnke, T.
2010. SIAM Journal on Scientific Computing, 31 (6), 4373–4394. doi:10.1137/080742324
Jahnke, T.
2010. SIAM Journal on Scientific Computing, 31 (6), 4373–4394. doi:10.1137/080742324
Solving chemical master equations by adaptive wavelet compression
Jahnke, T.; Udrescu, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018826
Jahnke, T.; Udrescu, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018826
Towards Effective Dynamics in Complex Systems by Markov Kernel Approximation
Schütte, C.; Jahnke, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018825
Schütte, C.; Jahnke, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018825
An Adaptive Wavelet Method for The Chemical Master Equation
Jahnke, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018824
Jahnke, T.
2010. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000018824
2009
On Hybrid Models in Stochastic Reaction Kinetics
Jahnke, T.
2009. 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM’09), Rethymno, Greece, September 18-22, 2012. Ed.: T.E. Simos, 1540/1–1, American Institute of Physics (AIP). doi:10.1063/1.3241395
Jahnke, T.
2009. 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM’09), Rethymno, Greece, September 18-22, 2012. Ed.: T.E. Simos, 1540/1–1, American Institute of Physics (AIP). doi:10.1063/1.3241395
An Adaptive Method for Solving Chemical Master Equations using a Sparse Wavelet Basis
Jahnke, T.; Udrescu, T.
2009. 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM’09), Rethymno, Greece, September 18-22, 2012. Ed.: T.E. Simos, 489/1–1, American Institute of Physics (AIP). doi:10.1063/1.3241504
Jahnke, T.; Udrescu, T.
2009. 7th International Conference on Numerical Analysis and Applied Mathematics (ICNAAM’09), Rethymno, Greece, September 18-22, 2012. Ed.: T.E. Simos, 489/1–1, American Institute of Physics (AIP). doi:10.1063/1.3241504
Towards effective dynamics in complex systems by Markov kernel approximation
Schütte, C.; Jahnke, T.
2009. Mathematical Modelling and Numerical Analysis, 43 (4), 721–742. doi:10.1051/m2an/2009027
Schütte, C.; Jahnke, T.
2009. Mathematical Modelling and Numerical Analysis, 43 (4), 721–742. doi:10.1051/m2an/2009027
2008
Solving chemical master equations by an adaptive wavelet method
Jahnke, T.; Galan, S.
2008. Numerical analysis and applied mathematics. International Conference on Numerical Analysis and Applied Mathematics 2008, Psalidi, Kos, Greece, 16 - 20 September 2008. Ed.: G. Simos, 290–293, American Institute of Physics (AIP)
Jahnke, T.; Galan, S.
2008. Numerical analysis and applied mathematics. International Conference on Numerical Analysis and Applied Mathematics 2008, Psalidi, Kos, Greece, 16 - 20 September 2008. Ed.: G. Simos, 290–293, American Institute of Physics (AIP)
A dynamical low-rank approach to the chemical master equation
Jahnke, T.; Huisinga, W.; Wulkow, M.
2008. Bulletin of Mathematical Biology, 70 (8), 2283–2302
Jahnke, T.; Huisinga, W.; Wulkow, M.
2008. Bulletin of Mathematical Biology, 70 (8), 2283–2302
Adaptive Discrete Galerkin Methods Applied to the Chemical Master Equation
Huisinga, W.; Deuflhard, P.; Jahnke, T.; Wulkow, M.
2008. SIAM journal on scientific computing, 30 (6), 2990–3011
Huisinga, W.; Deuflhard, P.; Jahnke, T.; Wulkow, M.
2008. SIAM journal on scientific computing, 30 (6), 2990–3011
2007
Generator estimation methods for discretely observed Markov jump processes
Metzner, P.; Dittmer, E.; Jahnke, T.; Schütte, C.
2007. Journal of Computational Physics, 227 (1), 353–375
Metzner, P.; Dittmer, E.; Jahnke, T.; Schütte, C.
2007. Journal of Computational Physics, 227 (1), 353–375
Solving the chemical master equation for monomolecular reaction systems analytically
Jahnke, T.; Huisinga, W.
2007. Journal of Mathematical Biology, 54 (1), 1–26
Jahnke, T.; Huisinga, W.
2007. Journal of Mathematical Biology, 54 (1), 1–26
2006
Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review
Cohen, D.; Jahnke, T.; Lorenz, K.; Lubich, C.
2006. Analysis, Modeling and Simulation of Multiscale Problems. Ed.: A. Mielke, 553–576, Springer-Verlag. doi:10.1007/3-540-35657-6_20
Cohen, D.; Jahnke, T.; Lorenz, K.; Lubich, C.
2006. Analysis, Modeling and Simulation of Multiscale Problems. Ed.: A. Mielke, 553–576, Springer-Verlag. doi:10.1007/3-540-35657-6_20
2005
Adiabatic Integrators for Highly Oscillatory Second-Order Linear Differential Equations with Time-Varying Eigendecomposition
Lorenz, K.; Jahnke, T.; Lubich, C.
2005. BIT - Numerical Mathematics, 45 (1), 91–115. doi:10.1007/s10543-005-2637-9
Lorenz, K.; Jahnke, T.; Lubich, C.
2005. BIT - Numerical Mathematics, 45 (1), 91–115. doi:10.1007/s10543-005-2637-9
2004
Long-Time-Step Integrators for Almost-Adiabatic Quantum Dynamics
Jahnke, T.
2004. SIAM Journal on Scientific Computing, 25 (6), 2145–2164. doi:10.1137/S1064827502411316
Jahnke, T.
2004. SIAM Journal on Scientific Computing, 25 (6), 2145–2164. doi:10.1137/S1064827502411316
2003
Numerical integrators for quantum dynamics close to the adiabatic limit
Jahnke, T.; Lubich, C.
2003. Numerische Mathematik, 94 (2), 289–314. doi:10.1007/s00211-002-0421-1
Jahnke, T.; Lubich, C.
2003. Numerische Mathematik, 94 (2), 289–314. doi:10.1007/s00211-002-0421-1
2000
Error Bounds for Exponential Operator Splittings
Jahnke, T.; Lubich, C.
2000. BIT - Numerical Mathematics, 40 (4), 735–744. doi:10.1023/A:1022396519656
Jahnke, T.; Lubich, C.
2000. BIT - Numerical Mathematics, 40 (4), 735–744. doi:10.1023/A:1022396519656