This section addresses the original, intrusive, version of the PGD solver, before considering later its non-intrusive counterparts. The PGD was proposed for solving problems defined in high-dimensional spaces, as encountered in quantum chemistry or statistical mechanics.

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The Proper Generalized Decomposition

  • Francisco Chinesta,
  • Elías Cueto,
  • Victor Champaney,
  • Chady Ghnatios,
  • Amine Ammar,
  • Nicolas Hascoët,
  • David González,
  • Icíar Alfaro,
  • Daniele Di Lorenzo,
  • Angelo Pasquale,
  • Dominique Baillargeat

摘要

This section addresses the original, intrusive, version of the PGD solver, before considering later its non-intrusive counterparts. The PGD was proposed for solving problems defined in high-dimensional spaces, as encountered in quantum chemistry or statistical mechanics.