TY - GEN A1 - Horenko, Illia A1 - Weiser, Martin T1 - Adaptive Integration of Multidimensional Molecular Dynamics with Quantum Initial Conditions N2 - The paper presents a particle method framework for resolving molecular dynamics. Error estimators for both the temporal and spatial discretization are advocated and facilitate a fully adaptive propagation. For time integration, the implicit trapezoidal rule is employed, where an explicit predictor enables large time steps. The framework is developed and exemplified in the context of the classical Liouville equation, where Gaussian phase-space packets are used as particles. Simplified variants are discussed shortly, which should prove to be easily implementable in common molecular dynamics codes. A concept is illustrated by numerical examples for one-dimensional dynamics in double well potential. T3 - ZIB-Report - 02-29 KW - particle methods KW - adaptivity KW - classical Liouville equation KW - molecular dynamics Y1 - 2002 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-6967 ER - TY - GEN A1 - Horenko, Illia A1 - Schmidt-Ehrenberg, Johannes A1 - Schütte, Christof T1 - Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models T2 - Computational Life Sciences II Y1 - 2006 VL - 4216 SP - 98 EP - 115 PB - Springer ER - TY - JOUR A1 - Horenko, Illia A1 - Lorenz, S. A1 - Schütte, Christof A1 - Huisinga, Wilhelm T1 - Adaptive Approach for Non-Linear Sensitivity Analysis of Reaction Kinetics JF - J. Comp. Chem. Y1 - 2005 UR - http://publications.imp.fu-berlin.de/49/ U6 - https://doi.org/10.1002/jcc.20234 VL - 26 IS - 9 SP - 941 EP - 948 ER - TY - JOUR A1 - Horenko, Illia A1 - Dittmer, E. A1 - Schütte, Christof T1 - Reduced Stochastic Models for Complex Molecular Systems JF - Comp. Vis. Sci. Y1 - 2005 UR - http://publications.imp.fu-berlin.de/59/ U6 - https://doi.org/10.1007/s00791-006-0021-1 VL - 9 IS - 2 SP - 89 EP - 102 ER - TY - CHAP A1 - Horenko, Illia A1 - Schmidt-Ehrenberg, Johannes A1 - Schütte, Christof ED - Berthold, Michael R. ED - Glen, Robert C. ED - Fischer, Ingrid T1 - Set-oriented dimension reduction: Localizing principal component analysis via hidden Markov models T2 - Computational Life Sciences II: Second International Symposium CompLife 2006, Cambridge (UK), Sept. 2006 Y1 - 2006 UR - http://publications.imp.fu-berlin.de/121/ U6 - https://doi.org/10.1007/11875741_8 VL - 4216 SP - 74 EP - 85 PB - Springer ER - TY - CHAP A1 - Meerbach, E. A1 - Schütte, Christof A1 - Horenko, Illia A1 - Schmidt, Burkhard ED - Kühn, O. ED - Wöste, L. T1 - Metastable Conformational Structure and Dynamics T2 - Analysis and Control of Ultrafast Photoinduced Reactions Y1 - 2007 UR - http://publications.imp.fu-berlin.de/114/ U6 - https://doi.org/10.1007/978-3-540-68038-3_9 VL - 87 SP - 796 EP - 806 PB - Springer CY - Berlin ER - TY - CHAP A1 - Meerbach, E. A1 - Dittmer, E. A1 - Horenko, Illia A1 - Schütte, Christof ED - Ferrario, Mauro ED - Ciccotti, Giovanni ED - Binder, Kurt T1 - Multiscale Modelling in Molecular Dynamics T2 - Computer Simulations in Condensed Matter Y1 - 2006 UR - http://publications.imp.fu-berlin.de/119/ VL - 703 SP - 475 EP - 497 PB - Springer ER - TY - JOUR A1 - Horenko, Illia A1 - Dittmer, E. A1 - Fischer, Alexander A1 - Schütte, Christof T1 - Automated Model Reduction for Complex Systems exhibiting Metastability JF - Mult. Mod. Sim. Y1 - 2006 UR - http://publications.imp.fu-berlin.de/44/ U6 - https://doi.org/10.1137/050623310 VL - 5 IS - 3 SP - 802 EP - 827 ER - TY - JOUR A1 - Horenko, Illia A1 - Klein, Rupert A1 - Dolaptchiev, S. A1 - Schütte, Christof T1 - Automated Generation of Reduced Stochastic Weather Models I JF - Mult. Mod. Sim. Y1 - 2008 UR - http://publications.imp.fu-berlin.de/15/ U6 - https://doi.org/10.1137/060670535 VL - 6 IS - 4 SP - 1125 EP - 1145 ER - TY - JOUR A1 - Horenko, Illia A1 - Schütte, Christof T1 - On metastable conformational analysis of non-equilibrium biomolecular time series JF - Multiscale Modeling & Simulation Y1 - 2010 UR - http://publications.imp.fu-berlin.de/146/ U6 - https://doi.org/10.1137/080744347 VL - 8 IS - 2 SP - 701 EP - 716 ER - TY - JOUR A1 - Horenko, Illia A1 - Salzmann, Ch. A1 - Schmidt, Burkhard A1 - Schütte, Christof T1 - Quantum-Classical Liouville Approach to Molecular Dynamics JF - J. Chem. Phys. Y1 - 2002 UR - http://publications.imp.fu-berlin.de/75/ U6 - https://doi.org/10.1063/1.1522712 VL - 117 IS - 24 SP - 11075 EP - 11088 ER - TY - JOUR A1 - Horenko, Illia A1 - Schmidt, Burkhard A1 - Schütte, Christof T1 - Multidimensional Classical Liouville Dynamics with Quantum Initial Conditions JF - J. Chem. Phys. Y1 - 2002 UR - http://publications.imp.fu-berlin.de/73/ U6 - https://doi.org/10.1063/1.1498467 VL - 117 IS - 10 SP - 4643 EP - 4650 ER - TY - JOUR A1 - Horenko, Illia A1 - Schmidt, Burkhard A1 - Schütte, Christof T1 - A Theoretical Model for Molecules Interacting with Intense Laser Pulses JF - J. Chem. Phys. Y1 - 2001 UR - http://publications.imp.fu-berlin.de/79/ U6 - https://doi.org/10.1063/1.1398577 VL - 115 IS - 13 SP - 5733 EP - 5743 ER - TY - JOUR A1 - Horenko, Illia A1 - Weiser, Martin A1 - Schmidt, Burkhard A1 - Schütte, Christof T1 - Fully Adaptive Propagation of the Quantum-Classical Liouville Equation JF - J. Chem. Phys. Y1 - 2004 UR - http://publications.imp.fu-berlin.de/65/ U6 - https://doi.org/10.1063/1.1691015 VL - 120 IS - 19 SP - 8913 EP - 8923 ER - TY - JOUR A1 - Fischer, Alexander A1 - Waldhausen, S. A1 - Horenko, Illia A1 - Meerbach, E. A1 - Schütte, Christof T1 - Identification of Biomolecular Conformations from Incomplete Torsion Angle Observations by Hidden Markov Models JF - J. Comp. Chem. Y1 - 2007 UR - http://publications.imp.fu-berlin.de/38/ U6 - https://doi.org/10.1002/jcc.20692 VL - 28 IS - 15 SP - 2453 EP - 2464 ER - TY - JOUR A1 - Metzner, Ph. A1 - Horenko, Illia A1 - Schütte, Christof T1 - Generator Estimation of Markov Jump Processes Based on Incomplete Observations Nonequidistant in Time JF - Phys. Rev. E Y1 - 2007 UR - http://publications.imp.fu-berlin.de/36/ U6 - https://doi.org/10.1103/PhysRevE.76.066702 VL - 76 IS - 06 SP - 066702 ER - TY - JOUR A1 - Noé, Frank A1 - Horenko, Illia A1 - Schütte, Christof A1 - Smith, J. T1 - Hierarchical Analysis of Conformational Dynamics in Biomolecules JF - J. Chem. Phys. Y1 - 2007 UR - http://publications.imp.fu-berlin.de/37/ U6 - https://doi.org/10.1063/1.2714539 VL - 126 IS - 15 SP - 155102 ER - TY - JOUR A1 - Horenko, Illia A1 - Dittmer, E. A1 - Lankas, F. A1 - Maddocks, J. A1 - Metzner, Ph. A1 - Schütte, Christof T1 - Macroscopic Dynamics of Complex Metastable Systems JF - J. Appl. Dyn. Syst. Y1 - 2008 UR - http://publications.imp.fu-berlin.de/56/ U6 - https://doi.org/10.1137/050630064 VL - 7 IS - 2 SP - 532 EP - 560 ER - TY - JOUR A1 - Horenko, Illia A1 - Schütte, Christof T1 - Likelihood-Based Estimation of Multidimensional Langevin Models and its Application to Biomolecular Dynamics JF - Mult. Mod. Sim. Y1 - 2008 UR - http://publications.imp.fu-berlin.de/39/ U6 - https://doi.org/10.1137/070687451 VL - 7 IS - 2 SP - 731 EP - 773 ER - TY - JOUR A1 - Horenko, Illia A1 - Schütte, Christof T1 - Dimension Reduction for Time Series with Hidden Phase Transitions and Economic Applications JF - Adv. Data Anal. Class., submitted Y1 - 2008 UR - http://publications.imp.fu-berlin.de/32/ ER - TY - JOUR A1 - Horenko, Illia A1 - Hartmann, Carsten A1 - Schütte, Christof A1 - Noé, Frank T1 - Data-based Parameter Estimation of Generalized Multidimensional Langevin Processes JF - Phys. Rev. E Y1 - 2007 UR - http://publications.imp.fu-berlin.de/31/ U6 - https://doi.org/10.1103/PhysRevE.76.016706 VL - 76 IS - 01 SP - 016706 ER -