Physics-informed reduced-order learning from the first principles for simulation of quantum nanostructures. [PDF]
Veresko M, Cheng MC.
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Accelerating numerics on PDEs using POD and Galerkin projection
A method will be described to accelerate time-dependent numerical solvers of PDEs that is based on the combined use of proper orthogonal decomposition (POD) and Galerkin projection. POD is made on some sets of snapshots that are calculated using the numerical solver, and the governing equations are Galerkin-projected onto the POD-calculated modes ...
Terragni, Filippo +2 more
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Coarse-graining molecular dynamics models using an extended Galerkin projection
We present a new framework for coarse-graining molecular dynamics models for crystalline solids. The reduction method is based on a Galerkin projection to a subspace, whose dimension is much smaller than that of the full atomistic model. The subspace is expanded by adding more coarse-grain variables near the interface between lattice defects and the ...
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Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
Gómez S, Perinati C, Stocker P.
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Analytical study of mode filtering in a duct with resistive layers. [PDF]
Alahmadi H, Afzal M, Javeed U, Nawaz T.
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A novel adaptive multi-scale wavelet Galerkin method for solving fuzzy hybrid differential equations. [PDF]
Murugesh V +7 more
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Stabilized Radial Basis Function Finite Difference Schemes with Mass Conservation for the Cahn-Hilliard Equation on Surfaces. [PDF]
Qiao J, Qiao Y, He Y.
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Scattering from a finite-length closed perfect electric conducting circular cylinder: a regularized full-wave analysis. [PDF]
Schettino F, Di Murro F, Lucido M.
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H-polarized natural modes of microsize graphene strip grating in gain-material layer: regularizing Galerkin technique and lasing threshold conditions. [PDF]
Zinenko TL, Ctyroky J, Nosych OI.
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