Results 31 to 40 of about 104,752 (294)

Multi-Scale-Matching neural networks for thin plate bending problem

Theoretical and Applied Mechanics Letters
Physics-informed neural networks are a useful machine learning method for solving differential equations, but encounter challenges in effectively learning thin boundary layers within singular perturbation problems.
Lei Zhang, Guowei He
doaj   +1 more source

CEV Model with Stochastic Volatility

Journal of Vasyl Stefanyk Precarpathian National University, 2019
This paper develops a systematic method for calculating approximate prices for a wide range of securities implying the tools of spectral analysis, singular and regular perturbation theory.
IVAN BURTNYAK, Anna Malytska
doaj   +1 more source

A Method to Construct Asymptotic Solutions Invariant under the Renormalization Group

, 2006
A renormalization group method with the Lie symmetry is presented for the singular perturbation problems. Asymptotic solutions are obtained as group-invariant solutions under approximate Lie group admitted by perturbed differential equations.Comment: 9 ...
Iwasa, Masatomo, Nozaki, Kazuhiro
core   +1 more source

Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in 2d [PDF]

, 2016
We formulate a stabilized quasi-optimal Petrov-Galerkin method for singularly perturbed convection-diffusion problems based on the variational multiscale method.
Li, Guanglian, Peterseim, Daniel, Schedensack, Mira   +2 more
core   +3 more sources

Transcriptional network analysis of PTEN‐protein‐deficient prostate tumors reveals robust stromal reprogramming and signs of senescent paracrine communication

Molecular Oncology, EarlyView.
Combining PTEN protein assessment and transcriptomic profiling of prostate tumors, we uncovered a network enriched in senescence and extracellular matrix (ECM) programs associated with PTEN loss and conserved in a mouse model. We show that PTEN‐deficient cells trigger paracrine remodeling of the surrounding stroma and this information could help ...
Ivana Rondon‐Lorefice, Jose I. Lopez, Aitziber Ugalde‐Olano, Maite Zufiaurre, Ianire Astobiza, Natalia Martin‐Martin, Laura Bozal‐Basterra, Saioa Garcia‐Longarte, Amaia Zabala‐Letona, Sofia Rey, Aida Santos‐Martin, Miguel Unda, Ana Loizaga‐Iriarte, Mariona Graupera, Paolo Nuciforo, Arkaitz Carracedo, Isabel Mendizabal   +16 more
wiley   +1 more source

Haar wavelet method for solving stiff differential equations

Mathematical Modelling and Analysis, 2009
Application of the Haar wavelet approach for solving stiff differential equations is discussed. Solution of singular perturbation problems is also considered.
Ülo Lepik
doaj   +1 more source

A recursive multibody formalism for systems with small mass and inertia terms [PDF]

Mechanical Sciences, 2013
Complex multibody system models that contain bodies with small mass or nearly singular inertia tensor may suffer from high frequency solution components that deteriorate the solver efficiency in time integration.
M. Arnold
doaj   +1 more source

Canard Cycles and Poincar\'e Index of Non-Smooth Vector Fields on the Plane

, 2010
This paper is concerned with closed orbits of non-smooth vector fields on the plane. For a subclass of non-smooth vector fields we provide necessary and sufficient conditions for the existence of canard kind solutions.
C. A. Buzzi, CA Buzzi, CA Buzzi, J Llibre, J Sotomayor, J Sotomayor, MA Teixeira, N Fenichel, P Szmolyan, P. R. da Silva, T. de Carvalho, VS Kozlova   +11 more
core   +1 more source

Multiple solutions and periodic oscillations in nonlinear diffusion processes [PDF]

, 1973
We study the oscillatory stationary states in the temperature and concentration fields occurring in tubular chemical reactors. Singular perturbation and multitime scale procedures are combined formally to clearly and simply reveal the mechanism ...
Cohen, Donald S.
core   +1 more source

Comparing the Effect of Semi‐Immersive Virtual Reality, Computerized Cognitive Training, and Traditional Rehabilitation on Cognitive Function in Multiple Sclerosis: A Randomized Clinical Trial

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Cognitive impairment is a common non‐motor symptom in Multiple Sclerosis (MS), negatively affecting autonomy and Quality of Life (QoL). Innovative rehabilitation strategies, such as semi‐immersive virtual reality (VR) and computerized cognitive training (CCT), may offer advantages over traditional cognitive rehabilitation (TCR ...
Maria Grazia Maggio, Desiree Latella, Lilla Bonanno, Paulo Cezar Rocha dos Santos, Marcos Maldonado‐Díaz, Meir Plotnik, Rosaria De Luca, Angelo Quartarone, Rocco Salvatore Calabrò   +8 more
wiley   +1 more source