Results 1 to 10 of about 114,105 (252)

Proper orthogonal decomposition method for Schrödinger equation

Lietuvos Matematikos Rinkinys, 2013
In this paper we consider the proper orthogonal decomposition (POD) method for one-dimensional Schrödinger equation. We begin of the review of basic ideas of POD. Later this method is applied to study the linear Schrödinger equation.
Raimondas Čiegis, Gerda Jankevičiūtė, Teresė Leonavičienė   +2 more
doaj   +3 more sources

Proper orthogonal decomposition method for some parabolic type equations

Lietuvos Matematikos Rinkinys, 2012
In this paper proper orthogonal decomposition method for 1D parabolic type equations is described. First basic ideas of method are presented and application scheme for compiutations is derived.
Gerda Jankevičiūtė, Teresė Leonavičienė, Raimondas Čiegis   +2 more
doaj   +3 more sources

Interpolation of Transonic Flows Using a Proper Orthogonal Decomposition Method [PDF]

International Journal of Aerospace Engineering, 2013
A proper orthogonal decomposition (POD) method is used to interpolate the flow around an airfoil for various Mach numbers and angles of attack in the transonic regime.
Benoit Malouin, Jean-Yves Trépanier, Martin Gariépy   +2 more
doaj   +2 more sources

A Group Condensation Method Based on Proper Orthogonal Decomposition

Yuanzineng kexue jishu, 2023
The group condensation is a key process of the two-step method and is the guarantee of efficiency of the two-step method. However, the group condensation of the two-step method also reduces the energy resolution and leads to the calculation errors.
WU Shifu;ZHANG Qian;ZHANG Jinchao;ZHAO Qiang
doaj   +1 more source

Enhancing hydrodynamic efficiency in Autonomous Underwater Vehicles (AUVs) utilizing adjoint method and proper orthogonal decomposition. [PDF]

PLoS ONE
In recent years, there has been a significant need for high-performing and efficient Autonomous Underwater Vehicles (AUVs). This is primarily because of their use in offshore mineral exploitation and oceanographic research.
Shorob Alam Bhuiyan, Md Jahid Hasan, Md Araful Hoque   +2 more
doaj   +3 more sources

Dynamic RBC-To-Membrane Ratio in ¹²⁹Xe MRI: A Biomarker of Decreased Lung Function in Pulmonary and Vascular Diseases. [PDF]

Magn Reson Med
ABSTRACT Purpose To present a method for quantifying dissolved 129Xe spectroscopy using singular value decomposition (SVD) and a dynamic red blood cell (RBC)/membrane ratio as a biomarker of disease. Methods A spectroscopic sequence was performed in 45 subjects (27 healthy, 12 dyspnea of unknown origin [DUO], and 6 pulmonary hypertension [PH ...
García Delgado GM, Shammi UA, Thornburgh C, Ruppel M, Parks I, Miller A, Mugler JP, Altes TA, Thomen RP.   +8 more
europepmc   +2 more sources

Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows [PDF]

SIAM Journal on Numerical Analysis, 2021
Proper orthogonal decomposition (POD) stabilized methods for the Navier-Stokes equations are considered and analyzed. We consider two cases, the case in which the snapshots are based on a non inf-sup stable method and the case in which the snapshots are based on an inf-sup stable method.
Julia Novo, Samuele Rubino
openaire   +5 more sources

Tsunami forecasting using proper orthogonal decomposition method [PDF]

Journal of Geophysical Research: Oceans, 2008
Tsunami early warning requires a quick and accurate prediction of the occurrence, arrival time and characteristics of the tsunami waves. The solution of a full set of governing partial differential equations can provide a sufficiently accurate prediction, but it is often computationally intensive and time consuming at high spatial resolution.
Ha, D.M., Tkalich, P., Chan, E.S.
openaire   +1 more source

Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order

Yuanzineng kexue jishu, 2023
The goal of high-fidelity burnup calculations is to accurately describe the nuclide composition of the reactor over its entire lifetime. As the core physics calculation method evolves to high-fidelity, the number of burnup regions will increase thousands
ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2
doaj   +1 more source

Some practical remarks in solving partial differential equations using reduced order schemes obtained through the POD method [PDF]

INCAS Bulletin, 2022
In this paper we address the subject of mathematical modelling, more precisely the optimization of algorithms for numerically solving partial differential equations.
Alexandru SOLOMON, Valentin Claudiu OLTEI, Alina BOGOI   +2 more
doaj   +1 more source