MATHEMATICAL MODELS and METHODS in APPLIED SCIENCES

By N. Vincenzo, Răducanu Răzvan, Mastorakis Nikos, Neck Reinhard, Ng Ka-Lok. 2012

366 citations recorded by the source corpus.

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SUPG stabilization for the nonconforming virtual element method for advection–diffusion–reaction equations (2018, methodology): “Many of these methods are also part of the Gradient Scheme framework recently proposed by [42, 43].”
Tensor-product approach to global time-space-parametric discretization of chemical master equation (2012, methodology): “…like to mention the sparse grids technique [13], as well as the initial tensor-structured approaches: the greedy algorithm in the canonical tensor format [14] [15] [16] [17] [18], and the solver in the Tucker format, based on the manifold dynamics via the projection onto the tangent space [19].”
Some basic formulations of the virtual element method (VEM) for finite deformations (2017, background): “[24, 26, 27, 28, 29, 25, 30, 31, 32, 33]), some attempts have been made for nonlinear [34, 35] and 3D [29] problems.”
Orthogonal polynomials in badly shaped polygonal elements for the Virtual Element Method (2017, unknown): “As in [37, 40] we choose { (P0vh, 1)∂E = (vh, 1)∂E , for k = 1, (P0vh, 1)E = (vh, 1)E , for k ≥ 2.”
Low-rank tensor structure of linear diffusion operators in the TT and QTT formats☆ (2013, background): “Consider bead-spring chain models with FENE-type potentials, which arise from the kinetic theory of dilute polymer solutions (see [13] and references therein).”