Results 31 to 40 of about 4,827,245 (289)

Maximal order of accuracy of (m, 1)-methods for solving stiff problems

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We investigate (m, 1)-methods for solving stiff problems in which the right part of system of the diааerential equations is calculated one times on each step. It is shown that the maximal order of accuracy of the L-stability (m, 1)-method is equal to two,
Evgeniy A Novikov
doaj   +2 more sources

Unconditionally Dynamically Consistent Numerical Methods with Operator-Splitting for a Reaction-Diffusion Equation of Huxley’s Type

open access: yesMathematics
The efficiency of various numerical methods for solving Huxley’s equation—which includes a diffusion term and a nonlinear reaction term—is investigated. Conventional explicit finite difference algorithms often suffer from severe stability limitations and
Husniddin Khayrullaev, Endre Kovács
doaj   +1 more source

Development of technique of Backward integration step-by-step for solve stiff initial value problems

open access: yesTikrit Journal of Pure Science, 2023
Our purpose in this paper is the development of the  technique of backward integration step-by-step, In order to facilitating the use of this technique for  solving  the Stiff Problems.
Khalid A. M. Khalaf, Bashir M. S. Khalaf
doaj   +1 more source

Association Between Individualized Education for Kidney Replacement Therapy Modality Selection and Peritoneal Dialysis Initiation: A Cross‐Sectional Study

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Peritoneal dialysis (PD) is an established home‐based kidney replacement therapy (KRT), but its uptake remains low in Japan. We evaluated whether individualized education in a dedicated outpatient clinic was associated with the initiation of PD.
Yasuko Ito   +7 more
wiley   +1 more source

Organoids in pediatric cancer research

open access: yesFEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

A comparison of stiff ODE solvers for atmospheric chemistry problems [PDF]

open access: yes, 1995
In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stiff ODE systems describing the chemical transformations.
Loon, Martin   +3 more
core  

Microbiome−host proteostasis crosstalk—An emerging perspective on mechanisms and interventions toward healthy longevity

open access: yesFEBS Letters, EarlyView.
Proteostasis and the gut microbiota play a key role in shaping host physiology. Microbiota‐derived metabolites, vitamins, and RNA modulate host proteostasis. Findings from model systems, including C. elegans, indicate microbes can either stabilize or disrupt host proteostasis.
Abhishek Anil Dubey, Maria Ermolaeva
wiley   +1 more source

An efficient variable stepsize rational method for stiff, singular and singularly perturbed problems

open access: yesAlexandria Engineering Journal, 2022
In this article, a new iterative method of the rational type having fifth-order of accuracy is proposed to solve initial value problems. The method is self-starting, stable, consistent, and convergent, whereas local truncation error analysis has also ...
Sania Qureshi   +5 more
doaj   +1 more source

A comparison of stiff ODE solvers for atmospheric chemistry problems [PDF]

open access: yesAtmospheric Environment, 1996
In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stiff systems of ordinary differential equations describing the chemical transformations. In this paper a numerical comparison is presented between two special purpose solvers developed for this task.
Verwer, J.G.   +3 more
openaire   +4 more sources

Design and analysis strategies for robust microbiome ageing research

open access: yesFEBS Letters, EarlyView.
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik   +5 more
wiley   +1 more source

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