Results 11 to 20 of about 189,912,866 (144)
Abstract robust coarse spaces for systems of PDEs via generalized eigenproblems in the overlaps [PDF]
, 2013 Coarse spaces are instrumental in obtaining scalability for domain decomposition methods for partial differential equations (PDEs). However, it is known that most popular choices of coarse spaces perform rather weakly in the presence of heterogeneities ...
Dolean Maini, Victorita +5 more
core +4 more sources
Theorizing the Principles of Sustainable Production in the context of Circular Economy and Industry 4.0. [PDF]
, 2022 The concept of Sustainable Production is evolving with changes triggered by the emergence of new economic and industrial models such as Circular Economy and Industry 4.0.
Garza-Reyes, J. +4 more
core +1 more source
Stochastic PDEs with multiscale structure [PDF]
, 2012 We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussian driving noise.
Martin Hairer +4 more
core +1 more source
Geometric analysis of quasilinear inequalities on complete manifolds: maximum and compact support principles and detours on manifolds [PDF]
, 2021 This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive ...
Bianchini, Bruno +7 more
core +1 more source
New strong maximum and comparison principles for fully nonlinear degenerate elliptic PDEs [PDF]
, 2019 We introduce a notion of subunit vector field for fully nonlinear degenerate elliptic equations. We prove that an interior maximum of a viscosity subsolution of such an equation propagates along the trajectories of subunit vector fields.
Bardi M., Goffi A., Goffi, A.
core +1 more source
ISS estimates in the spatial sup-norm for nonlinear 1-D parabolic PDEs
, 2021 This paper provides novel Input-to-State Stability (ISS)-style maximum principle estimates for classical solutions of nonlinear 1-D parabolic Partial Differential Equations (PDEs).
Iasson Karafyllis, Miroslav Krstic
core +1 more source
A Class of PDEs with Nonlinear Superposition Principles [PDF]
, 2012 Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group.
Zhong Weizhou +3 more
core +1 more source
Comparison principles for PDEs with a singular potential
, 2002 Comparison principles for PDEs with a singular ...
Dupaigne, Louis, Davila, Juan
core +3 more sources
Multilevel CNNs for parametric PDEs [PDF]
, 2023 We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs.
Heiß, Cosmas +2 more
core +1 more source
Advanced Science, EarlyView.Neuronal activation leads to astrocytic transient volume changes, activating transient receptor potential ankyrin 1 (TRPA1) channels, leading to Ca2+ influx. Activation of TRPA1 causes the release of D‐serine through BEST1. Finally, the augmented extracellular levels of D‐serine boost neuronal activity by binding GluN1‐containing NMDARs, leading to CBV
Kayoung Han +11 more
wiley +1 more source