Results 91 to 100 of about 209,471 (303)

On Local Relaxation Methods and Their Application to Convection-Diffusion Equations [PDF]

, 1981
This paper discusses local relaxation (LR) methods which can be regarded as generalizations of the successive overrelaxation (SOR) method. The difference is that within an LR method the relaxation factor is allowed to vary from equation to equation.
Veldman, Arthur E.P.,, Veldman, Arthur E.P., Botta, Eugen F.F., Botta, Eugen F.F.,   +3 more
core   +1 more source

A Sixth-Order Vieta–Lucas Polynomial-Based Block Method with Optimal Stability for Solving Practical First-Order ODE Models

AppliedMath
This paper addresses the numerical integration of first-order ordinary differential equations by developing a continuous linear multistep block method. The method is constructed through the approximation of the exact solution using a linear combination ...
Olugbade Ezekiel Faniyi, Mark Ifeanyi Modebei, Matthew Olanrewaju Oluwayemi, Ikechukwu Jackson Otaide   +3 more
doaj   +1 more source

Error estimation for quadrature formulas based on equally spaced nodes

Mathematical Modelling and Analysis, 2006
The error estimation for quadrature formulas based on equally spaced nodes is discussed in this paper. The error estimates use embedded formulas and they are obtained for Newton‐Cotes and Hermitian quadrature formulas.
K. Plukas, D. Plukiene
doaj   +1 more source

Numerical integration of bivariate fractal interpolation functions on rectangular domains. [PDF]

Eur Phys J Spec Top, 2023
Aparna MP, Paramanathan P.
europepmc   +1 more source

Subtype‐specific enhancer RNAs define transcriptional regulators and prognosis in breast cancers

Molecular Oncology, EarlyView.
This study employed machine learning methodologies to perform the subtype‐specific classification of RNA‐seq data sets, which are mapped on enhancers from TCGA‐derived breast cancer patients. Their integration with gene expression (referred to as ProxCReAM eRNAs) and chromatin accessibility profiles has the potential to identify lineage‐specific and ...
Aamena Y. Patel, Peyman Zarrineh, Nathnael T. Tuffa, Jigar H. Sheth, Sumitra Mohan, Mudassar Iqbal, Sankari Nagarajan   +6 more
wiley   +1 more source

Integrating Odeint Time Stepping into OpenFPM for Distributed and GPU Accelerated Numerical Solvers

Journal of Open Research Software
We present a scientific numerical software for multi-stage, multi-step, and adaptive explicit time integration on distributed-memory parallel computers and on Graphics Processing Units (GPUs).
Abhinav Singh, Landfried Kraatz, Serhii Yaskovets, Pietro Incardona, Ivo F. Sbalzarini   +4 more
doaj   +1 more source

Evaluating statistical significance in a meta-analysis by using numerical integration. [PDF]

Comput Struct Biotechnol J, 2022
Lin YC, Liang YJ, Yang HC.
europepmc   +1 more source

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Benchmarking of numerical integration methods for ODE models of biological systems. [PDF]

Sci Rep, 2021
Städter P, Schälte Y, Schmiester L, Hasenauer J, Stapor PL.   +4 more
europepmc   +1 more source

EDNRB‐dependent endothelin signaling reduces proliferation and promotes proneural‐to‐mesenchymal transition in gliomas

Molecular Oncology, EarlyView.
Glioma cells mainly express the endothelin receptor EDNRB, while EDNRA is restricted to a perivascular tumor subpopulation. Endothelin signaling reduces glioma cell proliferation while promoting migration and a proneural‐to‐mesenchymal transition associated with poor prognosis. This pathway activates Ca2+, K+, ERK, and STAT3 signalings and is regulated
Donovan Pineau, Leonor Garcia, Hugo Arnold, Antonija Hanžek, Maialen Arrieta, Laurent R Gauthier, Christine Granotier‐Beckers, François D Boussin, Amaury Herbet, Marie Hautière, Valentin Asei‐Ceschino, Clémentin Jacques, Laura Brard, Thomas Harnois, Valérie Coronas, Bruno Constantin, Aurélien Chatelier, Jean Chemin, Serge Urbach, Martial Seveno, Szimonetta Hideg, Chantal Ripoll, Kasandra Aguilar‐Cázarez, Min Zheng, Guo‐Hao Huang, Sheng‐Qing Lv, Lei Zhang, Philippe Rondard, Laurent Prezeau, Jean‐Philippe Pin, Hugues Duffau, Luc Bauchet, Valérie Rigau, Franck Denat, Charles Truillet, Didier Boquet, Jean‐Philippe Hugnot   +36 more
wiley   +1 more source