Results 111 to 120 of about 2,172 (231)
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
Abstract In HIV‐ and tuberculosis (TB)‐endemic regions, lymphoma diagnosis is often delayed because symptoms can overlap with TB, and access to biopsy and specialized pathology is limited. To address this, we developed and internally evaluated the Access to Diagnosis using Liquid Biopsy (ADLiB) platform—a plasma cell‐free DNA (cfDNA)‐based approach ...
Katherine Antel +21 more
wiley +1 more source
Benthic contributions to the chemical seascape: Insights from Mediterranean underwater caves
Abstract Chemical mediation plays a major role in the functioning of marine ecosystems, yet most of the molecules sustaining species interactions remain largely unknown. As an initial step toward clarifying these processes, this study investigates how benthic biodiversity shapes the chemical composition of seawater, using underwater caves as model ...
Marie Derrien +3 more
wiley +1 more source
This paper proposes an efficient iteration method for fixed-point approximation in Banach spaces. The method accelerates convergence by incorporating a squared operator term within the iteration process.
Ekta Sharma +3 more
doaj +1 more source
CHD4 plays an essential role as an epigenetic regulator in the pathogenesis of multiple myeloma. The chromatin remodeling protein initially resolves G‐quadruplex (G4) secondary structures within the c‐Myc promoter region, thereby enhancing chromatin accessibility and promoting transcriptional activation.
Pinggang Ding +10 more
wiley +1 more source
Deep Picard Iteration for High-Dimensional Nonlinear PDEs
We present the Deep Picard Iteration (DPI) method, a new deep learning approach for solving high-dimensional partial differential equations (PDEs). The core innovation of DPI lies in its use of Picard iteration to reformulate the typically complex training objectives of neural network-based PDE solutions into much simpler, standard regression tasks ...
Jiequn Han +3 more
openaire +2 more sources
An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
In this paper, we consider the iteration method called 'Picard-Mann hybrid iterative process' for finding a fixed point of continuous functions on an arbitrary interval.
ÖZDEMİR, Murat, KARAHAN, İBRAHİM
core +1 more source
Abstract Lung cancer is the leading cause of global cancer‐related morbidity and mortality, with tobacco smoking as its strongest risk factor. Nuclear factor erythroid 2‐related factor 2 (NRF2) is a redox‐regulated transcription factor frequently dysregulated in non‐small cell lung cancer (NSCLC), leading to aggressive disease and resistance to therapy.
Jouni Härkönen +14 more
wiley +1 more source
Abstract Mitochondrial cristae architecture is central for optimal oxidative phosphorylation and a healthy mitochondrial physiology. The intricate architecture of the inner mitochondrial membrane relies on protein complexes that compartmentalize the membrane by imposing membrane curvature, forming membrane contact sites or membrane subdomains ...
Patrick Horten +3 more
wiley +1 more source

