Results 51 to 60 of about 4,827,245 (289)
On overcoming Dahlquist’s second barrier for$A$-stable linear multistep methods [PDF]
Dahlquist’s second barrier limits the order of $A$-stable linear multistep methods to at most two, posing significant challenges for achieving higher accuracy in the numerical solution of stiff ordinary differential equations.
G. Hojjati, S. Fazeli, A. Moradi
doaj +1 more source
This paper considered the formulation of continuous third derivative trigonometrically fitted method for the solution of oscillatory first order initial value problems using the technique of interpolation and collocation of the approximate solution by ...
M. Kida +3 more
doaj +1 more source
Explicit Methods for Integrating Stiff Cauchy Problems
An explicit method for solving stiff Cauchy problems is proposed. The method relies on explicit schemes and a step size selection algorithm based on the curvature of an integral curve. Closed-form formulas are derived for finding the curvature. For Runge-Kutta schemes with up to four stages, the corresponding sets of coefficients are given.
Belov A.A. +3 more
openaire +4 more sources
Overview on solving stiff problems using one-step methods [PDF]
Stiff problems in ordinary differential equations can now be solved more routinely. In the past four decades, many researchers were interested in finding effective stiff solution methods.
Tey, Kai Wean
core
Evaluation of capacities of bucket foundations in soft-stiff-soft clays under combined loading
Bucket foundations are widely constructed for offshore wind turbines, which are subjected to combined vertical-horizontal-moment (V-H-M) loading during operation.
Xihong Zhang (23289454) +3 more
core
Finding novel vulnerabilities of hypomorphic BRCA1 alleles
Synthetic lethality screens performed to identify novel vulnerabilities often model complete gene loss, thereby overlooking patient‐derived hypomorphic mutations. In this study, we have performed genome‐wide CRISPR screens on BRCA1 hypomorphic mutations, showing BRCA1I26A behaves like wild‐type, while BRCA1R1699Q mimics deficiency. Furthermore, we have
Anne Schreuder +10 more
wiley +1 more source
Numerical solution of systems of first order stiff oscillatory differential equations using diagonally implicit super class of block backward differentiation formula [PDF]
This paper introduces the development and application of a diagonally implicit 3-point method based on a superclass of the Block Backward Differentiation Formula (3DSBBDF) for solving systems of first-order stiff Oscillatory Differential Equations (ODEs)
Buhari Alhassan +2 more
doaj +1 more source
MITF maintains genome stability in nonmelanocyte lineages
MITF is essential for melanocyte survival and acts as an oncogene in 10%–20% of melanomas. We show that MITF depletion causes genome instability in nonmelanocytic cells, leading to LATS2‐mediated P53 activation, cell cycle arrest, and apoptosis. This study highlights the role of MITF as a genome maintenance factor beyond the melanocyte lineage. Created
Drifa H. Gudmundsdottir +13 more
wiley +1 more source
Matched spatial transcriptomics and single‐nuclei RNA‐seq were generated for anaplastic and BRAFV600E papillary thyroid cancers revealing generic and tumor‐specific states occurring in cancer cells and in the tumor microenvironment. In this context, cancer dedifferentiation mirrored organoid maturation through ordered thyroid marker gain/loss ...
Adrien Tourneur +11 more
wiley +1 more source
Constructing of linearly implicit schemes which are LN-equivalent to implicit Runge-Kutta methods [PDF]
New family of linearly implicit schemes are presented. This family allows to obtain methods which are equivalent to stiffly accurate implicit Runge-Kutta schemes (such as RadauIIA and LobattoIIIC) on nonautonomous linear problems.
Aleksei Mikhailovich Zubanov +2 more
doaj +1 more source

