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# a discretization of the [[Domain of a function|___domain]] in the style of the [[finite element method]],
# the assumption that the solution can be approximated as a separate representation and
# a numerical [[greedy algorithm]] to find the solution.<ref>{{Cite journal| author1=Amine Ammar | author2 = Béchir Mokdad | author3 = Francisco Chinesta | author4 = Roland Keunings |date=2006 |title=A New Family of Solvers for Some Classes of Multidimensional Partial Differential Equations Encountered in Kinetic Theory Modeling of Complex Fluids| url=https://hal.archives-ouvertes.fr/hal-01004909/document |journal=Journal of Non-Newtonian Fluid Mechanics| volume = 139 | issue = 3 | page = 153 | doi = 10.1016/j.jnnfm.2006.07.007 | bibcode = 2006JNNFM.139..153A }}</ref><ref>{{Cite journal| author1=Amine Ammar | author2 = Béchir Mokdad | author3 = Francisco Chinesta | author4 = Roland Keunings |date=2007|title=A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modelling of complex fluids. Part II: Transient simulation using space-time separated representations |url=https://hal.archives-ouvertes.fr/hal-01004910/document|journal=Journal of Non-Newtonian Fluid Mechanics| volume = 144 | issue = 2 | page = 98 | doi = 10.1016/j.jnnfm.2007.03.009 | bibcode = 2007JNNFM.144...98A }}</ref>
=== Variational formulation ===
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