MCTDH

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.


References in zbMATH (referenced in 31 articles )

Showing results 1 to 20 of 31.
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  1. Ashraphijuo, Morteza; Wang, Xiaodong: Characterization of sampling patterns for low-tt-rank tensor retrieval (2020)
  2. Patil, Prerna; Babaee, Hessam: Real-time reduced-order modeling of stochastic partial differential equations via time-dependent subspaces (2020)
  3. Uschmajew, André; Vandereycken, Bart: Geometric methods on low-rank matrix and tensor manifolds (2020)
  4. Gavrilyuk, Ivan; Khoromskij, Boris N.: Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation (2019)
  5. Kieri, Emil; Vandereycken, Bart: Projection methods for dynamical low-rank approximation of high-dimensional problems (2019)
  6. Koch, Othmar: Convergence of exponential Lawson-multistep methods for the MCTDHF equations (2019)
  7. Lan, Jinchun; Zhang, Qianlong; Wei, Sha; Peng, Zhike; Dong, Xinjian; Zhang, Wenming: Uncertainty quantification for stochastic dynamical systems using time-dependent stochastic bases (2019)
  8. Carrington, Tucker: Iterative methods for computing vibrational spectra (2018)
  9. Musharbash, Eleonora; Nobile, Fabio: Dual dynamically orthogonal approximation of incompressible Navier Stokes equations with random boundary conditions (2018)
  10. Babaee, Hessam; Choi, Minseok; Sapsis, Themistoklis P.; Karniadakis, George Em: A robust bi-orthogonal/dynamically-orthogonal method using the covariance pseudo-inverse with application to stochastic flow problems (2017)
  11. Burkhard Schmidt, Carsten Hartmann: WavePacket: A Matlab package for numerical quantum dynamics. II: Open quantum systems, optimal control, and model reduction (2017) arXiv
  12. Burkhard Schmidt, Ulf Lorenz: WavePacket: A Matlab package for numerical quantum dynamics. I: Closed quantum systems and discrete variable representations (2017) arXiv
  13. Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka: Low rank tensor recovery via iterative hard thresholding (2017)
  14. Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André: Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations (2016)
  15. Lubich, Christian; Oseledets, Ivan V.; Vandereycken, Bart: Time integration of tensor trains (2015)
  16. Rauhut, Holger; Schneider, Reinhold; Stojanac, Željka: Tensor completion in hierarchical tensor representations (2015)
  17. Grasedyck, Lars; Kressner, Daniel; Tobler, Christine: A literature survey of low-rank tensor approximation techniques (2013)
  18. Uschmajew, André; Vandereycken, Bart: The geometry of algorithms using hierarchical tensors (2013)
  19. Holtz, Sebastian; Rohwedder, Thorsten; Schneider, Reinhold: On manifolds of tensors of fixed TT-rank (2012)
  20. Khoromskij, Boris N.: (O(d \logN))-quantics approximation of (N)-(d) tensors in high-dimensional numerical modeling (2011)

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Further publications can be found at: http://www.pci.uni-heidelberg.de/tc/usr/mctdh/ref.html