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Innovative Application of the Ritz Method to Oil-Gas Seepage Problems: A Novel Variational Approach for Solving Underground Flow Equations

Energies
State-of-the-art commercial simulators (e.g., Eclipse, CMG) predominantly employ finite difference schemes, which face persistent challenges in modeling strongly nonlinear seepage dynamics. This study explores the application of the Ritz method, grounded
Xiongzhi Liu +5 more
doaj +1 more source

Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type [PDF]

Mathematics and Computational Sciences
This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares.
Meisam Noei Khorshidi, Mohammad Arab Firoozjaee +1 more
doaj +1 more source

Rayleigh-Ritz variation method and connected-moments polynomial approach

, 2008
We show that the connected-moments polynomial approach proposed recently is equivalent to the well known Rayleigh-Ritz variation method in the Krylov space.
Bartashevich +15 more
core +1 more source

Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator [PDF]

, 2015
This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with $O_{h}$ symmetry.
Fernández, Francisco M.
core +3 more sources

Surprise Marketing

Psychology &Marketing, EarlyView.
ABSTRACT Surprise marketing, characterized by unexpected tactics such as blind boxes and spontaneous discounts, captivates consumers by sparking curiosity and participation. Despite increasing industry use, scholarly research remains fragmented and limited.
Xin‐Jean Lim, Weng Marc Lim, Park Thaichon +2 more
wiley +1 more source

Coupled anharmonic oscillators: the Rayleigh-Ritz approach versus the collocation approach

, 2010
For a system of coupled anharmonic oscillators we compare the convergence rate of the variational collocation approach presented recently by Amore and Fernandez (2010 Phys.Scr.81 045011) with the one obtained using the optimized Rayleigh-Ritz (RR) method.
Amore P +5 more
core +1 more source

Genome‐Wide Assessment Reveals Ancestral Differences in Homozygosity Patterns Potentially Linked to Parkinson's Disease Etiology

Movement Disorders, EarlyView.
Abstract Background Recessive genetic variation and extended runs of homozygosity (ROHs) may contribute to the unexplained heritability of Parkinson's disease (PD), particularly in diverse and understudied populations. Objective We conducted the first large‐scale, multi‐ancestral investigation of PD to examine the impact of genome‐wide homozygosity on ...
Kathryn Step +680 more
wiley +1 more source

Long‐Term Exposure to Air Pollution and Incidence of Parkinson's Disease: A Danish Nationwide Administrative Cohort Study

Movement Disorders, EarlyView.
Abstract Background Long‐term exposure to air pollution has been linked to Parkinson's disease (PD) incidence, yet evidence is mixed, partly because of challenges with PD diagnosis and definition. We examined this association in a nationwide administrative cohort.
Thomas Cole‐Hunter +14 more
wiley +1 more source

Free Vibration Of Functionally Graded Carbon Nanotube Reinforced Composite Annular Sector Plate With General Boundary Supports

Curved and Layered Structures, 2018
In this paper, an efficient and unified approach for free vibration analysis of the moderately thick functionally graded carbon nanotube reinforced composite annular sector plate with general boundary supports is presented by using the Ritz method and ...
Pang Fuzhen +4 more
doaj +1 more source

On two different kinds of resonances in one-dimensional quantum-mechanical models

, 2016
We apply the Riccati-Pad\'{e} method and the Rayleigh-Ritz method with complex rotation to the study of the resonances of a one-dimensional well with two barriers.
Fernández, Francisco M., Garcia, Javier
core +1 more source

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rayleigh-ritz method
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