Edit Profile Jahnke, Tobias Compute Distance To: Compute Author ID: jahnke.tobias Published as: Jahnke, T.; Jahnke, Tobias; Johnke, Tobias Documents Indexed: 26 Publications since 2000 all top 5 Co-Authors 4 single-authored 4 Lubich, Christian 3 Huisinga, Wilhelm 3 Schnaubelt, Roland 2 Hochbruck, Marlis 2 Lorenz, Katina 2 Mikl, Marcel 2 Schütte, Christof 2 Udrescu, Tudor 1 Altıntan, Derya 1 Arnold, Andreas 1 Buchholz, Simone 1 Cohen, David Mordecai 1 Deuflhard, Peter 1 Dittmer, Evelyn 1 Eilinghoff, Johannes 1 Galan, Steffen 1 Gauckler, Ludwig J. 1 Grimm, Volker 1 Kreim, Michael 1 Metzner, Philipp 1 Sunkara, Vikram 1 Wulkow, Michael all top 5 Serials 4 BIT 3 Numerische Mathematik 3 SIAM Journal on Scientific Computing 2 Journal of Computational Physics 2 Multiscale Modeling & Simulation 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Bulletin of Mathematical Biology 1 SIAM Journal on Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 21 Numerical analysis (65-XX) 12 Probability theory and stochastic processes (60-XX) 11 Biology and other natural sciences (92-XX) 7 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 3 Operator theory (47-XX) 3 Optics, electromagnetic theory (78-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 21 Publications have been cited 305 times in 246 Documents Cited by ▼ Year ▼ Error bounds for exponential operator splittings. Zbl 0972.65061Jahnke, Tobias; Lubich, Christian 78 2000 Solving the chemical master equation for monomolecular reaction systems analytically. Zbl 1113.92032Johnke, Tobias; Huisinga, Wilhelm 58 2007 Numerical integrators for highly oscillatory Hamiltonian systems: a review. Zbl 1367.65191Cohen, David; Jahnke, Tobias; Lorenz, Katina; Lubich, Christian 24 2006 On reduced models for the chemical master equation. Zbl 1244.65005Jahnke, Tobias 18 2011 A dynamical low-rank approach to the chemical master equation. Zbl 1169.92021Jahnke, Tobias; Huisinga, Wilhelm 15 2008 Error bound for piecewise deterministic processes modeling stochastic reaction systems. Zbl 1266.60131Jahnke, Tobias; Kreim, Michael 14 2012 On the approximation of high-dimensional differential equations in the hierarchical Tucker format. Zbl 1308.65113Arnold, Andreas; Jahnke, Tobias 13 2014 Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael 13 2008 Efficient simulation of discrete stochastic reaction systems with a splitting method. Zbl 1205.65023Jahnke, Tobias; Altıntan, Derya 12 2010 Numerical integrators for quantum dynamics close to the adiabatic limit. Zbl 1029.65069Jahnke, Tobias; Lubich, Christian 10 2003 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 9 2015 Adiabatic integrators for highly oscillatory second-order linear differential equations with time-varying eigendecomposition. Zbl 1077.65077Lorenz, Katina; Jahnke, Tobias; Lubich, Christian 9 2005 Solving chemical master equations by adaptive wavelet compression. Zbl 1203.65104Jahnke, Tobias; Udrescu, Tudor 7 2010 Generator estimation of Markov jump processes. Zbl 1128.65012Metzner, Philipp; Dittmer, Evelyn; Jahnke, Tobias; Schütte, Ch. 7 2007 An adaptive wavelet method for the chemical master equation. Zbl 1205.65022Jahnke, Tobias 6 2010 Long-time-step integrators for almost-adiabatic quantum dynamics. Zbl 1068.65091Jahnke, Tobias 5 2004 Strang splitting for a semilinear Schrödinger equation with damping and forcing. Zbl 1370.65057Jahnke, Tobias; Mikl, Marcel; Schnaubelt, Roland 2 2017 Solving chemical master equations by an adaptive wavelet method. Zbl 1167.65441Jahnke, Tobias; Galan, Steffen 2 2008 Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. Zbl 1422.78003Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland 1 2019 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 1 2018 Error bound for hybrid models of two-scaled stochastic reaction systems. Zbl 1322.60131Jahnke, Tobias; Sunkara, Vikram 1 2014 Error analysis of an energy preserving ADI splitting scheme for the Maxwell equations. Zbl 1422.78003Eilinghoff, Johannes; Jahnke, Tobias; Schnaubelt, Roland 1 2019 Closing the gap between trigonometric integrators and splitting methods for highly oscillatory differential equations. Zbl 1404.65056Buchholz, Simone; Gauckler, Ludwig; Grimm, Volker; Hochbruck, Marlis; Jahnke, Tobias 1 2018 Strang splitting for a semilinear Schrödinger equation with damping and forcing. Zbl 1370.65057Jahnke, Tobias; Mikl, Marcel; Schnaubelt, Roland 2 2017 Convergence of an ADI splitting for Maxwell’s equations. Zbl 1323.78018Hochbruck, Marlis; Jahnke, Tobias; Schnaubelt, Roland 9 2015 On the approximation of high-dimensional differential equations in the hierarchical Tucker format. Zbl 1308.65113Arnold, Andreas; Jahnke, Tobias 13 2014 Error bound for hybrid models of two-scaled stochastic reaction systems. Zbl 1322.60131Jahnke, Tobias; Sunkara, Vikram 1 2014 Error bound for piecewise deterministic processes modeling stochastic reaction systems. Zbl 1266.60131Jahnke, Tobias; Kreim, Michael 14 2012 On reduced models for the chemical master equation. Zbl 1244.65005Jahnke, Tobias 18 2011 Efficient simulation of discrete stochastic reaction systems with a splitting method. Zbl 1205.65023Jahnke, Tobias; Altıntan, Derya 12 2010 Solving chemical master equations by adaptive wavelet compression. Zbl 1203.65104Jahnke, Tobias; Udrescu, Tudor 7 2010 An adaptive wavelet method for the chemical master equation. Zbl 1205.65022Jahnke, Tobias 6 2010 A dynamical low-rank approach to the chemical master equation. Zbl 1169.92021Jahnke, Tobias; Huisinga, Wilhelm 15 2008 Adaptive discrete Galerkin methods applied to the chemical master equation. Zbl 1178.41003Deuflhard, Peter; Huisinga, Wilhelm; Jahnke, Tobias; Wulkow, Michael 13 2008 Solving chemical master equations by an adaptive wavelet method. Zbl 1167.65441Jahnke, Tobias; Galan, Steffen 2 2008 Solving the chemical master equation for monomolecular reaction systems analytically. Zbl 1113.92032Johnke, Tobias; Huisinga, Wilhelm 58 2007 Generator estimation of Markov jump processes. Zbl 1128.65012Metzner, Philipp; Dittmer, Evelyn; Jahnke, Tobias; Schütte, Ch. 7 2007 Numerical integrators for highly oscillatory Hamiltonian systems: a review. Zbl 1367.65191Cohen, David; Jahnke, Tobias; Lorenz, Katina; Lubich, Christian 24 2006 Adiabatic integrators for highly oscillatory second-order linear differential equations with time-varying eigendecomposition. Zbl 1077.65077Lorenz, Katina; Jahnke, Tobias; Lubich, Christian 9 2005 Long-time-step integrators for almost-adiabatic quantum dynamics. Zbl 1068.65091Jahnke, Tobias 5 2004 Numerical integrators for quantum dynamics close to the adiabatic limit. Zbl 1029.65069Jahnke, Tobias; Lubich, Christian 10 2003 Error bounds for exponential operator splittings. Zbl 0972.65061Jahnke, Tobias; Lubich, Christian 78 2000 all cited Publications top 5 cited Publications all top 5 Cited by 409 Authors 14 Wu, Xinyuan 10 Lubich, Christian 9 Ostermann, Alexander 9 Wang, Bin 6 Jahnke, Tobias 5 Faou, Erwan 5 Grima, Ramon 4 Altıntan, Derya 4 Anderson, David Frederick 4 Blanes, Sergio 4 Bressloff, Paul C. 4 Einkemmer, Lukas 4 Engblom, Stefan 4 Hansen, Eskil 4 Higham, Desmond J. 4 Huhtanen, Marko 4 Koch, Othmar 4 Liu, Changying 4 Lötstedt, Per 4 Petzold, Linda Ruth 4 Popović, Nikola 4 Schratz, Katharina 4 Thalhammer, Mechthild 4 Wolf, Verena 3 Auzinger, Winfried 3 Cao, Yang 3 Cotter, Simon L. 3 Csomós, Petra 3 Descombes, Stéphane 3 Dujardin, Guillaume Michel 3 Eilinghoff, Johannes 3 Erban, Radek 3 Hellander, Andreas 3 Iserles, Arieh 3 Kieri, Emil 3 Levien, Ethan 3 Schnaubelt, Roland 3 Schütte, Christof 3 Shi, Wei 3 Tanoğlu, Gamze B. 3 Tobler, Christine 3 Uschmajew, André 3 Vandereycken, Bart 2 Acebrón, Juan A. 2 Arnold, Anton 2 Baker, Ruth Elizabeth 2 Barahona, Mauricio 2 Cao, Youfang 2 Casas, Fernando 2 Crawford, Forrest W. 2 Dolgov, Sergey V. 2 Drawert, Brian 2 Eshima, Nobuoki 2 Fasano, Antonio 2 Geiser, Jürgen 2 Gelß, Patrick 2 Gourgoulias, Konstantinos 2 Hochbruck, Marlis 2 Katsoulakis, Markos A. 2 Keener, James P. 2 Koeppl, Heinz 2 Kressner, Daniel 2 Kuntz, Juan 2 Kurasov, Pavel B. 2 Lee, Chang Hyeong 2 Lee, Hyun Geun 2 Liang, Jie 2 Liu, Zhongli 2 Marquez-Lago, Tatiana T. 2 Marr, Carsten 2 Matera, Sebastian 2 Mei, Lijie 2 Mena, Hermann 2 Minin, Vladimir N. 2 Mugnolo, Delio 2 Murua, Ander 2 Nuyens, Dirk 2 Pájaro, Manuel 2 Pavlova, Jevgenija 2 Reichel, Wolfgang 2 Rey-Bellet, Luc 2 Schneider, Reinhold 2 Schnoerr, David 2 Sequeira, Adélia 2 Seydaoğlu, Muaz 2 Shin, Jaemin 2 Smith, Stephen J. J. 2 Spieler, David 2 Stan, Guy-Bart 2 Suchard, Marc A. 2 Suzuki, Yuya 2 Tabata, Minoru 2 Takagi, Ichiro 2 Terebus, Anna 2 Thomas, Philipp 2 Thomée, Vidar 2 Tian, Hongjiong 2 Vasudeva Murthy, A. S. 2 Watson, Layne Terry 2 You, Xiong ...and 309 more Authors all top 5 Cited in 75 Serials 24 Journal of Computational Physics 15 Journal of Mathematical Biology 15 Journal of Computational and Applied Mathematics 12 BIT 11 Applied Numerical Mathematics 10 Bulletin of Mathematical Biology 10 SIAM Journal on Scientific Computing 10 Multiscale Modeling & Simulation 8 Mathematics of Computation 7 Numerische Mathematik 6 Computers & Mathematics with Applications 6 Journal of Scientific Computing 5 Foundations of Computational Mathematics 4 SIAM Journal on Numerical Analysis 4 Computational Methods in Applied Mathematics 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Mathematical Analysis and Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Applied Mathematics and Computation 3 Numerical Algorithms 3 Numerical Linear Algebra with Applications 3 Journal of Physics A: Mathematical and Theoretical 3 Journal of Theoretical Biology 2 Communications in Mathematical Physics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Mathematical Biosciences 2 Mathematics and Computers in Simulation 2 SIAM Journal on Matrix Analysis and Applications 2 Applied Mathematical Modelling 2 International Journal of Computer Mathematics 2 Journal of Mathematical Chemistry 2 Nonlinear Analysis. Real World Applications 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Computational Methods 1 Computer Physics Communications 1 Arkiv för Matematik 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Optimization 1 Calcolo 1 Computing 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of Functional Analysis 1 Studies in Applied Mathematics 1 Theoretical Computer Science 1 Statistics & Probability Letters 1 Physica D 1 Journal of Complexity 1 Numerical Methods for Partial Differential Equations 1 Journal of Theoretical Probability 1 European Journal of Applied Mathematics 1 The Annals of Applied Probability 1 Computational Statistics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Turkish Journal of Mathematics 1 Discrete and Continuous Dynamical Systems 1 Multibody System Dynamics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Evolution Equations 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 SIAM Journal on Applied Dynamical Systems 1 GAMM-Mitteilungen 1 Logical Methods in Computer Science 1 Numerical Algebra, Control and Optimization 1 Evolution Equations and Control Theory 1 SIAM/ASA Journal on Uncertainty Quantification 1 Journal of Computational Methods in Physics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics all top 5 Cited in 29 Fields 167 Numerical analysis (65-XX) 87 Partial differential equations (35-XX) 73 Biology and other natural sciences (92-XX) 59 Probability theory and stochastic processes (60-XX) 46 Ordinary differential equations (34-XX) 22 Dynamical systems and ergodic theory (37-XX) 18 Quantum theory (81-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Optics, electromagnetic theory (78-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Operator theory (47-XX) 9 Fluid mechanics (76-XX) 7 Statistics (62-XX) 5 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 Mechanics of particles and systems (70-XX) 4 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year