Results 51 to 60 of about 332,442 (262)

Applications of nonvariational finite element methods to Monge--Amp\`ere type equations

, 2012
The goal of this work is to illustrate the application of the nonvariational finite element method to a specific Monge--Amp\`ere type nonlinear partial differential equation. The equation we consider is that of prescribed Gauss curvature.Comment: 7 pages,
Alexandre Ern, Franco Brezzi, Luis A. Caffarelli, Omar Lakkis and Tristan Pryer, Xiaobing Feng, Xiaobing Feng   +5 more
core   +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

Arthritis 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, Cammie Tran, Hans G. Schneider, Flavia M. Cicuttini, Anita E. Wluka, Ego Seeman, Johannes T. Neumann, Md Nazmul Karim, Zhen Zhou, Sultana Monira Hussain, David P. Q. Clark, Daniel Clayton‐Chubb, Andrew M. Tonkin, Lawrence J. Beilin, Robyn L. Woods, John J. McNeil   +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

Arthritis 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, Rui Xiao, Andrew Grossman, Meenakshi Bewtra, Michael D. George, Pamela F. Weiss   +5 more
wiley   +1 more source

Sarilumab in Polyarticular‐Course Juvenile Idiopathic Arthritis: Dose‐Finding and One‐Year Analysis of a Phase 2b, Open‐Label, Multicenter Study

Arthritis Care &Research, Accepted Article.
Objective This study assessed sarilumab in treating patients with polyarticular‐course juvenile idiopathic arthritis (pcJIA). Methods This phase 2b, open‐label study (NCT02776735) consisted of three sequential parts (each with a core‐treatment and extension‐phase). During part 1, three doses were assessed in two weight groups (Group A/B: ≥30–60 kg/≥10–<
Fabrizio De Benedetti, Inmaculada C. Penadés, Irina Nikishina, Ivan Foeldvari, Alberto J. Spindler, Anna Kozlova, Nadina Rubio‐Pérez, Pierre Quartier, Zbigniew Żuber, Raul Barria, Daniel Clemente, Gabriel V. Cornejo, Katherine Marzan, Nancy Liu, Christine Xu, Stephen DiMartino, Angeliki Giannelou, Fei Cao‐Ghoul, Bolanle Akinlade, Lydie Baret‐Cormel   +19 more
wiley   +1 more source

Separation Transformation and a Class of Exact Solutions to the Higher-Dimensional Klein-Gordon-Zakharov Equation

Advances in Mathematical Physics, 2014
The separation transformation method is extended to the n+1-dimensional Klein-Gordon-Zakharov equation describing the interaction of the Langmuir wave and the ion acoustic wave in plasma. We first reduce the n+1-dimensional Klein-Gordon-Zakharov equation
Jing Chen, Ling Liu, Li Liu
doaj   +1 more source

On an age and spatially structured population model for Proteus Mirabilis swarm-colony development

, 2007
Proteus mirabilis are bacteria that make strikingly regular spatial-temporal patterns on agar surfaces. In this paper we investigate a mathematical model that has been shown to display these structures when solved numerically.
Laurençot, Philippe, Walker, Christoph
core   +3 more sources

Attractors of Hamiltonian Nonlinear Partial Differential Equations

, 2023
We survey the theory of attractors of nonlinear Hamiltonian partial differential equations since its appearance in 1990. These are results on global attraction to stationary states, to solitons and to stationary orbits, on adiabatic effective dynamics of solitons and their asymptotic stability. Results of numerical simulations are also given.
Comech, Andrew, Komech, Alexander, Kopylova, Elena   +2 more
openaire   +3 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source