MS 4: Tensor numerical methods for multidimensional PDEs

Organizer

Abstract

Tensor numerical methods provide the efficient separable representation of multivariate functions and operators discretized on large spacial grids, providing a base for the solution of multi-dimensional PDEs with linear complexity scaling in the dimension. The recent quantized tensor approximation method is proven to provide the logarithmic data-compression on a wide class of discretized functions/operators. In the symposium we are going to discuss the recent advances in the theory and algorithms of tensor methods in applications to challenging multi-dimensional boundary value, eigenvalue and time dependent problems arising in electronic structure calculations, spin models, stochastic dynamical processes.

List of speakers

  • Thomas Huckle (TU Munich, Germany):
    Tensor Methods for Quantum Control Problems
  • Venera Khoromskaia (MPI MIS Leipzig, Germany):
    Tensor numerical methods in quantum chemistry
  • Reinhold Schneider (TU Berlin, Germany):
    Low rank hierarchical tensors approximation
  • Sergey Dolgov (MPI MIS Leipzig, Germany):
    Solution of the chemical master equation by the separation of variables and alternating optimization methods

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