MCTDH swMATH ID: 14837 Software Authors: G. A. Worth, M. H. Beck, A. Jackle, H.-D. Meyer Description: The MCTDH Package. MCTDH stands for Multi Configuration Time Dependent Hartree. MCTDH is a general algorithm to solve the time-dependent Schrödinger equation for multidimensional dynamical systems consisting of distinguishable particles. MCTDH can thus determine the quantal motion of the nuclei of a molecular system evolving on one or several coupled electronic potential energy surfaces. MCTDH by its very nature is an approximate method. However, it can be made as accurate as any competing method, but its numerical efficiency deteriorates with growing accuracy. Homepage: http://www.pci.uni-heidelberg.de/cms/mctdh.html Related Software: Matlab; Tensorlab; TensorToolbox; LOBPCG; WavePacket; ALEA; ARPACK; htucker; TT Toolbox; Algorithm 862; DNSlab; QLib; QuTiP; FermiFab; VAMPnets; PyEMMA; SciPy; FEniCS; PhaseLift; LMIRank Cited in: 35 Publications Further Publications: http://www.pci.uni-heidelberg.de/tc/usr/mctdh/ref.html all top 5 Cited by 60 Authors 7 Lubich, Christian 4 Koch, Othmar 4 Schneider, Reinhold 4 Vandereycken, Bart 3 Babaee, Hessam 3 Uschmajew, André 2 Bardos, Claude Williams 2 Khoromskiĭ, Boris Nikolaevich 2 Mauser, Norbert Julius 2 Nobile, Fabio 2 Rauhut, Holger 2 Scrinzi, Armin 2 Stojanac, Željka 2 Trabelsi, Saber 1 Ashraphijuo, Morteza 1 Ashtiani, Shaghayegh Zamani 1 Bachmayr, Markus 1 Carrington, Tucker jun. 1 Catto, Isabelle 1 Ceruti, Gianluca 1 Choi, Minseok 1 Clementi, Cecilia 1 Conte, Dajana 1 Cooksy, Andrew L. 1 Dong, Xinjian 1 Ede, Christopher 1 Exl, Lukas 1 Gavrilyuk, Ivan P. 1 Gelß, Patrick 1 Grasedyck, Lars 1 Holtz, Sebastian 1 Iwen, Mark A. 1 Jordan, Gerald 1 Karniadakis, George Em 1 Kazashi, Yoshihito 1 Kieri, Emil 1 Klus, Stefan 1 Kressner, Daniel 1 Kreuzer, Wolfgang 1 Lan, Jinchun 1 Malik, Mujeeb R. 1 Musharbash, Eleonora 1 Needell, Deanna 1 Nonnenmacher, Achim 1 Nüske, Feliks 1 Oseledets, Ivan V. 1 Patil, Prerna 1 Peng, Zhike 1 Rebrova, Elizaveta 1 Rohwedder, Thorsten 1 Sapsis, Themistoklis P. 1 Stare, Jernej 1 Tobler, Christine 1 Vidličková, Eva 1 Wang, Xiaodong 1 Wei, Sha 1 Xu, Dong 1 Zare, Ali 1 Zhang, Qianlong 1 Zhang, Wenming all top 5 Cited in 25 Serials 4 Journal of Computational Physics 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Numerische Mathematik 2 Linear Algebra and its Applications 2 Computational Methods in Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Applied Numerical Mathematics 1 Constructive Approximation 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 Annals of Mathematics and Artificial Intelligence 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 GAMM-Mitteilungen 1 Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Results in Applied Mathematics all top 5 Cited in 14 Fields 23 Numerical analysis (65-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 12 Partial differential equations (35-XX) 9 Quantum theory (81-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 3 Information and communication theory, circuits (94-XX) 2 Ordinary differential equations (34-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 1 Category theory; homological algebra (18-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Citations by Year