Results 41 to 50 of about 1,055,018 (270)

On the derivation of the nonlinear discrete equations numerically integrating the Euler PDEs

open access: yesDiscrete Dynamics in Nature and Society, 1998
The Euler equations, namely a set of nonlinear partial differential equations (PDEs), mathematically describing the dynamics of inviscid fluids are numerically integrated by directly modeling the original continuous-domain physical system by means of a ...
F. N. Koumboulis   +2 more
doaj   +1 more source

The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley   +1 more source

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization
This study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari   +2 more
doaj   +1 more source

Global and Regional Temporal Changes in Cross‐Country Inequalities of Site‐Specific Osteoarthritis Burden, 1990 to 2021

open access: yesArthritis Care &Research, EarlyView.
Objective This study examined the global and regional temporal changes in cross‐country inequalities of site‐specific osteoarthritis (OA) burden from 1990 to 2021. Methods Age‐standardized years lived with disability rates (ASYRs) for site‐specific OA across 204 countries and territories were obtained from the Global Burden of Diseases, Injuries, and ...
Haowei Chen   +14 more
wiley   +1 more source

Serum Uric Acid Levels in Older Adults: Associations With Clinical Outcomes and Implications for Reference Intervals in Those Aged 70 Years and Over

open access: yesArthritis Care &Research, EarlyView.
Objective Reports have linked both high and low serum uric acid (SUA) levels to adverse health outcomes. This study aimed to establish a reference interval for SUA in older adults and assessed its association with clinically relevant outcomes in relatively healthy, community‐dwelling individuals aged ≥70 years old.
Amanda J. Rickard   +15 more
wiley   +1 more source

Temporal Trends in and Associations With Nonsteroidal Anti‐inflammatory Drug Prescription in Adult and Pediatric Patients With Inflammatory Bowel Disease

open access: yesArthritis Care &Research, EarlyView.
Objective Recent inflammatory bowel disease (IBD) treatment guidelines have recommended against nonsteroidal anti‐inflammatory drug (NSAID) use despite prevalent musculoskeletal symptoms and opioid overuse in this population. Given the discordance between changing national guidelines and potential clinical utility, we sought to assess national temporal
Adam S. Mayer   +5 more
wiley   +1 more source

Moment and SDP relaxation techniques for smooth approximations of problems involving nonlinear differential equations

open access: yes, 2010
Combining recent moment and sparse semidefinite programming (SDP) relaxation techniques, we propose an approach to find smooth approximations for solutions of problems involving nonlinear differential equations.
Henrion, Didier   +2 more
core   +2 more sources

Assessment of Skin in Patients With Systemic Sclerosis Using High‐Frequency Ultrasound and Shear Wave Elastography: A Comparative Study With Histology, Molecular, and Clinical Parameters

open access: yesArthritis Care &Research, EarlyView.
Objective Ultrasound (US) has been proposed as a potential tool for assessing skin fibrosis in systemic sclerosis (SSc). However, a large‐scale comparison of US‐based assessment with histologic markers of skin fibrosis has not been reported. We evaluated US‐based skin assessments for their face validity (differentiation between involved SSc and healthy
Ruhani Desai   +12 more
wiley   +1 more source

Nonlinear models of wave processes in the dimension (1 + 1) and first order quasilinear equations

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2023
Background. The study considers the connection of models of nonlinear wave processes in various one-dimensional physical systems, such as nonlinear two-wire lines, with first order quasilinear equations.
Viktor M. Zhuravlev
doaj   +1 more source

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