Results 41 to 50 of about 702,196 (224)

A streamline derivative POD-ROM for advection-diffusion-reaction equations [PDF]

open access: yes, 2018
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
core   +1 more source

Poisson inverse problems [PDF]

open access: yes, 2006
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
core   +5 more sources

Solving Continuous Models with Dependent Uncertainty: A Computational Approach

open access: yesAbstract and Applied Analysis, 2013
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
doaj   +1 more source

Error Estimates for Local Discontinuous Galerkin Methods for Linear Fourth-order Equations

open access: yesJournal of Harbin University of Science and Technology, 2021
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
doaj   +1 more source

Greedy low-rank algorithm for spatial connectome regression [PDF]

open access: yes, 2019
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
core   +3 more sources

Optimal error estimates of the local discontinuous Galerkin methods based on generalized fluxes for 1D linear fifth order partial differential equations

open access: yesJournal of Inequalities and Applications, 2022
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
doaj   +1 more source

Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations [PDF]

open access: yes, 2017
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
core   +2 more sources

POD-Galerkin reduced-order modeling of the El Niño-Southern Oscillation (ENSO)

open access: yesApplied Ocean Research
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
doaj   +1 more source

Model order reduction for a flow past a wall-mounted cylinder

open access: yesArchives of Mechanics, 2016
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
doaj   +1 more source

Order reduction approaches for the algebraic Riccati equation and the LQR problem

open access: yes, 2017
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
core   +1 more source

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