Results 61 to 70 of about 641,705 (295)

A Modified Steffensen Iterative Method with Fourth-order Convergence

Journal of Harbin University of Science and Technology, 2017
A new fourth-order convergent iterative method formed by Newton’s method and Steffensen method is presented to solve nonlinear equations in this paper． The new iteration formula uses derivative of quadratic interpolation as substitute for derivative of
WEI Jia, HUANG Jia-yue
doaj   +1 more source

A New Generalized Fractional-Order Derivative and Bifurcation Analysis of Cholera and Human Immunodeficiency Co-Infection Dynamic Transmission

International Journal of Mathematics and Mathematical Sciences, 2022
In this study, the co-infection of HIV and cholera model has been developed and analyzed. The new fractional-order derivative is applied and the behavior of the solution is interpreted. The order of new generalized fractional-order derivative implication
Kumama Regassa Cheneke, Koya Purnachandra Rao, Gereme Kenassa Edesssa   +2 more
doaj   +1 more source

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source

On the adaptive selection of the parameter in stabilized finite element approximations

, 2013
A systematic approach is developed for the selection of the stabilization parameter for stabilized finite element approximation of the Stokes problem, whereby the parameter is chosen to minimize a computable upper bound for the error in the approximation.
Rankin, Richard Andrew Robert, Barrenechea, Gabriel, Ainsworth, Mark, Allendes Flores, Alejandro Ignacio   +3 more
core   +1 more source

The Newton's method for operators with Hölder continuous ffrst derivative. [PDF]

, 2001
We analyze the convergence of the Newton method when the first Fréchet derivative of the operator involved is Hölder continuous. We calculate also the R-order of convergence and provide some a priori error bounds.
Hernández, M.A. [0000-0001-5478-2958]
core   +1 more source

Effectiveness of a Novel Low‐Density Lipoprotein Apheresis Device Rheocarna in Patients Undergoing Hemodialysis With Chronic Limb‐Threatening Ischemia: A Single‐Center Retrospective Study

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Background Chronic limb‐threatening ischemia (CLTI) is a severe form of lower‐extremity artery disease characterized by distal lesions and microcirculatory impairment, limiting revascularization efficacy. Rheocarna is a direct hemoperfusion low‐density lipoprotein (LDL) adsorption device with potential rheological and anti‐inflammatory ...
Kunihiro Ishioka, Takayasu Ohtake, Kei Ohmori, Chika Shibuya, Tomoki Tsukahara, Mizuki Yamano, Yasuhiro Mochida, Machiko Oka, Kyoko Maesato, Yusuke Tsukamoto, Hidekazu Moriya, Sumi Hidaka, Shuzo Kobayashi   +12 more
wiley   +1 more source

An analysis of the derivative-free loss method for solving PDEs

CoRR, 2023
This study analyzes the derivative-free loss method to solve a certain class of elliptic PDEs and fluid problems using neural networks. The approach leverages the Feynman-Kac formulation, incorporating stochastic walkers and their averaged values. We investigate how the time interval associated with the Feynman-Kac representation and the walker size ...
Jihun Han, Yoonsang Lee 0002
openaire   +2 more sources

Prognosis of Long‐Term Continuous Renal Replacement Therapy and the Impact of Combined Continuous Intravenous Sodium Infusion Therapy

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi, Atsuyoshi Mita, Kosuke Sonoda, Makoto Harada, Koji Hashimoto, Hiroshi Imamura, Yuji Kamijo   +6 more
wiley   +1 more source

A Stochastic Derivative Free Optimization Method with Momentum

, 2019
We consider the problem of unconstrained minimization of a smooth objective function in $\mathbb{R}^d$ in setting where only function evaluations are possible. We propose and analyze stochastic zeroth-order method with heavy ball momentum. In particular, we propose, SMTP, a momentum version of the stochastic three-point method (STP) \cite{Bergou_2018}.
Gorbunov, Eduard, Bibi, Adel, Sener, Ozan, Bergou, El Houcine, Richtarik, Peter   +4 more
openaire   +3 more sources

Enteropathogenic E. coli shows delayed attachment and host response in human jejunum organoid‐derived monolayers compared to HeLa cells

FEBS Letters, EarlyView.
Enteropathogenic E. coli (EPEC) infects the human intestinal epithelium, resulting in severe illness and diarrhoea. In this study, we compared the infection of cancer‐derived cell lines with human organoid‐derived models of the small intestine. We observed a delayed in attachment, inflammation and cell death on primary cells, indicating that host ...
Mastura Neyazi, Pilar Samperio Ventayol, Natalie Burkard, Nicolas Schlegel, Carmen Aguilar, Sina Bartfeld   +5 more
wiley   +1 more source