Results 41 to 50 of about 702,196 (224)
A streamline derivative POD-ROM for advection-diffusion-reaction equations [PDF]
We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM).
Rubino, Samuele
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Poisson inverse problems [PDF]
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jéremie
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Solving Continuous Models with Dependent Uncertainty: A Computational Approach
This paper presents a computational study on a quasi-Galerkin projection-based method to deal with a class of systems of random ordinary differential equations (r.o.d.e.’s) which is assumed to depend on a finite number of random variables (r.v.’s).
J.-C. Cortés +4 more
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Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations
This paper studies the stability and error estimates of the local discontinuous Galerkin method for fourth-order linear partial differential equations based on upwind-biased fluxes. Consider using the semi-discrete form of numerical format in the spatial
BI Hui, CHEN Sha-sha
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Greedy low-rank algorithm for spatial connectome regression [PDF]
Recovering brain connectivity from tract tracing data is an important computational problem in the neurosciences. Mesoscopic connectome reconstruction was previously formulated as a structured matrix regression problem (Harris et al., 2016), but existing
Benner, Peter +3 more
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In this paper, we study the error estimates of local discontinuous Galerkin methods based on the generalized numerical fluxes for the one-dimensional linear fifth order partial differential equations.
Hui Bi, Yixin Chen
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Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations [PDF]
We develop and analyze the first hybridizable discontinuous Galerkin (HDG) method for solving fifth-order Korteweg-de Vries (KdV) type equations. We show that the semi-discrete scheme is stable with proper choices of the stabilization functions in the ...
Chen, Yanlai, Dong, Bo, Jiang, Jiahua
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POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)
Reduced-order modeling (ROM) aims to mitigate computational complexity by reducing the size of a high-dimensional state space. In this study, we demonstrate the efficiency, accuracy, and stability of proper orthogonal decomposition (POD)-Galerkin ROM ...
Yusuf Aydogdu +1 more
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Model order reduction for a flow past a wall-mounted cylinder
Reduced order models allow quickly predict fluid behaviour and to better understand flow phenomena. They are the key enablers of closed-loop flow control.
W. Stankiewicz +4 more
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Order reduction approaches for the algebraic Riccati equation and the LQR problem
We explore order reduction techniques for solving the algebraic Riccati equation (ARE), and investigating the numerical solution of the linear-quadratic regulator problem (LQR).
A Alla +27 more
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