Results 31 to 40 of about 165,815 (307)

Quasi-A Priori Truncation Error Estimation in the DGSEM [PDF]

Journal of Scientific Computing, 2014
In this paper we show how to accurately perform a quasi-a priori estimation of the truncation error of steady-state solutions computed by a discontinuous Galerkin spectral element method. We estimate the spatial truncation error using the ?-estimation procedure.
Rubio Calzado, Gonzalo, Fraysse, Francois, Kopriva, David A., Valero Sánchez, Eusebio   +3 more
openaire   +3 more sources

The Surrogate Matrix Methodology: A Priori Error Estimation [PDF]

SIAM Journal on Scientific Computing, 2019
We give the first mathematically rigorous analysis of an emerging approach to finite element analysis (see, e.g., Bauer et al. [Appl. Numer. Math., 2017]), which we hereby refer to as the surrogate matrix methodology. This methodology is based on the piece-wise smooth approximation of the matrices involved in a standard finite element discretization ...
Drzisga, Daniel, Keith, Brendan, Wohlmuth, Barbara   +2 more
openaire   +4 more sources

Existence of positive solutions of elliptic equations with Hardy term

Electronic Journal of Qualitative Theory of Differential Equations
This paper is devoted to studying the existence of positive solutions of the problem: \begin{equation} \begin{cases}\label{0.1}\tag{$\ast$} -\Delta u=\frac{u^{p}}{|x|^{a}}+h(x,u,\nabla u), & \mbox{in} \ \Omega,\\ u=0, & \mbox{on}\ \partial\Omega,\\ \end{
Huimin Yan, Junhui Xie
doaj   +1 more source

A Priori Generalizability Estimate for a CNN

CoRR
We formulate truncated singular value decompositions of entire convolutional neural networks. We demonstrate the computed left and right singular vectors are useful in identifying which images the convolutional neural network is likely to perform poorly on.
Cito Balsells, Beatrice Riviere, David Fuentes 0001   +2 more
openaire   +2 more sources

Optimal a priori estimates for interface problems

Numerische Mathematik, 2003
The authors study the interface problem for an elliptic operator with piecewise constant diffusion coefficients. They formulate and prove a priori error estimates in weighted norms. They discuss criteria for the existence of a uniform Poincaré estimate in weighted norms.
Plum, Michael, Wieners, Christian
openaire   +2 more sources

A priori Lipschitz estimates for nonlinear equations with mixed local and nonlocal diffusion via the adjoint-Bernstein method [PDF]

, 2022
We establish a priori Lipschitz estimates for equations with mixed local and nonlocal diffusion, coercive gradient terms and unbounded right-hand side in Lebesgue spaces through an integral refinement of the Bernstein method.
Goffi, Alessandro, Goffi, A
core   +1 more source

Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source

Structure–Function Decoupling of the Sensorimotor and Default Mode Networks in Black Americans With MS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Multiple sclerosis (MS) exhibits racially disparate rates of disease progression. Black people with MS (B‐PwMS) experience a more severe disease course than non‐Hispanic White people with MS (NHW‐PwMS). Here we investigated structural and functional connectivity as well as structure–function decoupling in the ...
Emilio Cipriano, Giacomo Boffa, Maria Petracca, Marta Ponzano, Nicole Graziano, Claire Wigley, Claire Riley, Jonathan Howard, Pietro Bontempi, Sylvia Klineova, Fred Lublin, Matilde Inglese   +11 more
wiley   +1 more source

The Existence and Uniqueness of Nonlinear Elliptic Equations with General Growth in the Gradient

Mathematics
In this paper, we prove the existence and uniqueness results for a weak solution to a class of Dirichlet boundary value problems whose prototype is −Δpu=β|∇u|q+f in Ω, u=0 on ∂Ω, where Ω is a bounded open subset of RN, N≥2 ...
Angelo Alvino, Vincenzo Ferone, Anna Mercaldo   +2 more
doaj   +1 more source

Existence of global solutions to chemotaxis fluid system with logistic source

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We establish the existence of global solutions and $L^q$ time-decay of a three dimensional chemotaxis system with chemoattractant and repellent. We show the existence of global solutions by the energy method.
Harumi Hattori, Aesha Lagha
doaj   +1 more source