Order of Convergence and Dynamics of Newton–Gauss-Type Methods
On the basis of the new iterative technique designed by Zhongli Liu in 2016 with convergence orders of three and five, an extension to order six can be found in this paper. The study of high-convergence-order iterative methods under weak conditions is of
Ramya Sadananda +3 more
doaj +1 more source
Comparison of two types of order convergence with topological convergence in an ordered topological vector space [PDF]
Birkhoff and Peressini proved that if ( X , T
May, Roger W., McArthur, Charles W.
openaire +2 more sources
Inositol pyrophosphates are energy‐rich signaling molecules that perform critical functions in cells. Three different families of phosphatases hydrolyze the β phosphate of the inositol pyrophosphate molecules: two have narrow specificities and one is promiscuous.
Ronda J. Rolfes
wiley +1 more source
Analysis of simplifications of numerical schemes for Langevin equation, effect of variations in the correlation of augmentations [PDF]
The possibility to simplify the integration of Langevin equation using the variation of correlation between augmentation was researched. The analytical expression for a set of numerical schemes is presented.
Dmitry Alexandrovich Turchenkov +1 more
doaj +1 more source
Modelling stem cell differentiation related processes—A practical overview for biologists
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Design and analysis strategies for robust microbiome ageing research
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
'A Deep Trade Agenda': The convergence of trade and Fundamental Rights [PDF]
A key feature of the latest EU trade negotiations was the pursuance of a “deep trade agenda” for “deep integration” with the trade partners. The concept of “deep” has yet remained unexplored from a fundamental rights perspective.
Mancini, I +2 more
core +1 more source
The second order spectrum and optimal convergence [PDF]
The method of second order relative spectra has been shown to reliably approximate the discrete spectrum for a self-adjoint operator. We extend the method to normal operators and find optimal convergence rates for eigenvalues and eigenspaces. The convergence to eigenspaces is new, while the convergence rate for eigenvalues improves on the previous ...
openaire +4 more sources
Reconstructing enzyme evolution by protein engineering
Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source
A two - grid, fourth order method for nonlinear fourth order boundary value problems [PDF]
A fourth order convergent finite difference method is developed for the numerical solution of the nonlinear fourth order boundary value problem y(iv)(x) = f(x,y ...
Twizell, E H
core

