Results 121 to 130 of about 27,402 (200)
Stability preservation in Galerkin-type projection-based model order reduction
Numerical Algebra, Control & Optimization, 2019 We consider linear dynamical systems consisting of ordinary differential equations with high dimensionality. The aim of model order reduction is to construct an approximating system of a much lower dimension. Therein, the reduced system may be unstable, even though the original system is asymptotically stable.
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Stochastic PDE projection on manifolds:Assumed-density and Galerkin filters
, 2016 We review the manifold projection method for stochastic nonlinear filtering in a more general setting than in our previous paper in Geometric Science of Information 2013. We still use a Hilbert space structure on a space of probability densities to project the infinite dimensional stochastic partial differential equation for the optimal filter onto a ...
Armstrong, John; id_orcid 0000-0002-4232-9555 +1 more
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Galerkin Projection Methods for Solving Multiple Linear Systems
, 2007 In this paper, we consider using conjugate gradient (CG) methods for solving multiple linear systems A(i) x(i) = b(i) , for 1 ≤ i ≤ s, where the coefficient matrices A(i) and the right-hand sides b( i) are different in general. In particular, we focus on the seed projection method which generates a Krylov subspace from a set of direction vectors ...
Ng, MKP, Chan, TF
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Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces. [PDF]
Comput Math Appl, 2023 Guan Q, Queisser G, Zhao W.
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Estimating flow fields with reduced order models. [PDF]
Heliyon, 2023 Sommer KD +4 more
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Electronic Journal of Differential Equations, 2014 The operational block-pulse functions, a well-known method for solving functional equations, is employed to solve a system of nonlinear Volterra integro-differential equations.
Ali Ebadian, Amir Ahmad Khajehnasiri
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Rapid convergence of a Galerkin projection of the KdV equation
Comptes Rendus. Mathématique, 2005 In this Note, it is shown that a Fourier Galerkin approximation of the Korteweg–de Vries equation with periodic boundary conditions converges exponentially fast if the initial data can be continued analytically to a strip about the real axis.
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Physics-informed reduced-order learning from the first principles for simulation of quantum nanostructures. [PDF]
Sci Rep, 2023 Veresko M, Cheng MC.
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Accelerating numerics on PDEs using POD and Galerkin projection
, 2010 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
, 2012 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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