Non incremental strategies based on separated representations: applications in computational rheology

By Amine Ammar, M. Normandin, F. Daim, David González, Elías Cueto, Francisco Chinesta. 2010

76 citations recorded by the source corpus.

Subfields: Computational Mathematics, Molecular Biology, Statistical and Nonlinear Physics

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mathematics

1. Elías Cueto
2. Francisco Chinesta
3. Amine Ammar
4. Antonio Huerta
5. David González

In Statistical and Nonlinear Physics

1. Amine Ammar
2. Elías Cueto
3. Francisco Chinesta
4. Antonio Huerta
5. Adrien Leygue
6. Felipe Bordeu
7. Icíar Alfaro
8. David González

Citations in the corpus

• A literature survey of low‐rank tensor approximation techniques (2013, neutral): “…of high-dimensional PDEs [30,113]; • the solution of the Boltzmann equation [129, 149], and the chemical master / Fokker-Planck equations [4,6,61,64,86,122,133,135,196] • the solution of high-dimensional Schr¨odinger equations [46,160,172,184,192,193]; • computational tasks in…”
• PGD-Based Computational Vademecum for Efficient Design, Optimization and Control (2013, methodology): “The treatment of non-linear models, compulsory for obtaining the handbook related to parametric non-linear models usually encountered in industrial applications, was addressed in some of our former works [6, 70] where standard linearization procedures where extended to the PGD framework.”
• Greedy Approximation of High-Dimensional Ornstein–Uhlenbeck Operators (2011, unknown): “…proposed in the engineering literature in a succession of papers by Ammar, Mokdad, Chinesta, Keunings and collaborators [AMCK06, AMCK07, AND + 10, GACC10, CALK11], for the numerical solution of high-dimensional Fokker–Planck equations in kinetic models of polymeric fluids under the names…”
• Recent Advances and New Challenges in the Use of the Proper Generalized Decomposition for Solving Multidimensional Models (2010, methodology): “For illustrating the treatment of non linear models we are treating the following simple nonlinear parabolic problem, that we considered in [6] ⎧ ⎪⎨ ⎪⎩ ∂u ∂t − aΔu = u2 + f (x, t) in Ω × (0, Tmax] u(x, t) = 0 on ∂Ω × (0, Tmax] u(x,0) = 0 in Ω (29)”