Results 51 to 60 of about 5,776 (296)

Alternating-direction implicit finite difference methods for a new two-dimensional two-sided space-fractional diffusion equation

Advances in Difference Equations, 2018
According to the principle of conservation of mass and the fractional Fick’s law, a new two-sided space-fractional diffusion equation was obtained. In this paper, we present two accurate and efficient numerical methods to solve this equation.
Xiucao Yin, Shaomei Fang, Changhong Guo
doaj   +1 more source

Finite element solutions to boundary value problems [PDF]

, 1976
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis consists of two distinct parts which deal with two-point boundary value problems and parabolic problems, respectively.
Moore, P
core  

Heterozygous loss‐of‐function alleles associate the conserved 3′‐5′ exoribonuclease EXOSC10 with hypersensitivity to the anticancer drug 5‐fluorouracil

Molecular Oncology, EarlyView.
EXOSC10, an essential nuclear RNA exosome‐associated 3′‐5′ exoribonuclease, is inhibited by the anticancer drug 5‐fluorouracil (5‐FU), and EXOSC10 depletion increases 5‐FU sensitivity. The colon‐cancer variant EXOSC10S402T, located in a proteolysis motif, is stable and nuclear but nonfunctional in vivo.
Radhika Sain, Yann Le Page, Frédéric Percevault, Emmanuelle Becker, Luc Negroni, Almudena Fernandez, Marta Cantero, Diego Muñoz‐Santos, Lluís Montoliu, Cyrille Garnier, Michael Primig   +10 more
wiley   +1 more source

On a high-order energy-preserving unconditionally stable discretization on collocated unstructured grids [PDF]

, 2023
In this work, an energy-preserving unconditionally stable fractional step method on collocated unstructured grids is presented. Its formulation is based on preserving the underlying symmetries of the differential operators. This formulation was proven to
Verstappen, R.W.C.P., Trias Miquel, Francesc Xavier, Pérez Segarra, Carlos David, Santos Serrano, Daniel   +3 more
core   +3 more sources

A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations

Advances in Difference Equations, 2017
In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of ...
RK Mohanty, Gunjan Khurana
doaj   +1 more source

A Second Order, Linear, Unconditionally Stable, Crank-Nicolson-Leapfrog Scheme for Phase Field Models of Two-Phase Incompressible Flows [PDF]

, 2020
In this article we propose a second order, linear, unconditionally stable, implicit-explicit scheme based on the Crank-Nicolson-Leapfrog discretization and the artificial compression method for solving phase field models of two-phase incompressible flows.
Jiang, Nan, Han, Daozhi
core   +1 more source

Interpreting the effects of DNA polymerase variants at the structural level

Molecular Oncology, EarlyView.
Using MAVISp and molecular dynamics simulations, we analyzed over 60 000 missense variants in POLE and POLD1 from ClinVar, COSMIC, cBioPortal, and saturation mutagenesis. Identified mechanistic indicators, including stability, binding, and long‐range, enable structural interpretation, providing ACMG‐like evidence for possible reclassification of VUS ...
Matteo Arnaudi, Karolina Krzesińska, Ludovica Beltrame, Pablo Sánchez‐Izquierdo Besora, Matteo Tiberti, Mef Nilbert, Anna Rohlin, Elena Papaleo   +7 more
wiley   +1 more source

An Unconditionally Stable Method for Solving the Acoustic Wave Equation [PDF]

Mathematical Problems in Engineering, 2015
An unconditionally stable method for solving the time-domain acoustic wave equation using Associated Hermit orthogonal functions is proposed. The second-order time derivatives in acoustic wave equation are expanded by these orthogonal basis functions.
Fu, Zhi-Kai, Shi, Li-Hua, Huang, Zheng-Yu, Fu, Shang-Chen   +3 more
openaire   +1 more source

Preoperative circulating tumor cells integrated with imaging analysis for prognostic evaluation in head and neck squamous cell carcinoma

Molecular Oncology, EarlyView.
Detecting circulating tumor cells (CTCs) in blood before surgery may help predict outcomes in patients with head and neck squamous cell carcinoma (HNSCC). Here, we show when combined with tumor size and lymph node involvement from routine imaging, CTC status identifies high‐risk patients with poorer survival—offering a simple, minimally invasive tool ...
Susanne Flach, Gizem Abaci, Tom Huberty, Axel Lechner, Lukas Käsmann, Jens Ricke, Sophia Stöcklein, Martin Canis, Philipp Baumeister, Marianna Alunni‐Fabbroni   +9 more
wiley   +1 more source

Unconditionally Energy Stable DG Schemes for the Swift–Hohenberg Equation [PDF]

Journal of Scientific Computing, 2019
The Swift-Hohenberg equation as a central nonlinear model in modern physics has a gradient flow structure. Here we introduce fully discrete discontinuous Galerkin (DG) schemes for a class of fourth order gradient flow problems, including the nonlinear Swift-Hohenberg equation, to produce free-energy-decaying discrete solutions, irrespective of the time
Hailiang Liu, Peimeng Yin
openaire   +3 more sources