Results 11 to 20 of about 166,599,830 (60)
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
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 +2 more sources
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 +3 more
core +1 more source
Non-linear coupled CNN models for multiscale image analysis [PDF]
, 2006 A CNN model of partial differential equations (PDEs) for image multiscale analysis is proposed. The model is based on a polynomial representation of the diffusivity function and defines a paradigm of polynomial CNNs,for approximating a large class of ...
Corinto, Fernando +2 more
core +1 more source
Birkhoff Normal Form and Hamiltonian PDEs [PDF]
, 2007 55 pagesInternational audienceThese notes are based on lectures held at the Lanzhou university (China) during a CIMPA summer school in july 2004 but benefit from recent devellopements. Our aim is to explain some perturbations technics that allow to study
Grébert, Benoît
core +2 more sources
On some PDEs involving homogeneous operators. Spectral analysis, semigroups and Hardy inequalities
, 2022 Motivated by the analysis of homogeneous operators and semigroups in [10], in this paper we perform an spectral analysis of homogeneous operators and give simple characterization of generators of homoge- neous semigroups and of homogeneous sectorial ...
Rodríguez Bernal, Aníbal +1 more
core +1 more source
An ALE ESFEM for solving PDEs on evolving surfaces [PDF]
, 2012 Numerical methods for approximating the solution of partial differential equations on evolving hypersurfaces using surface finite elements on evolving triangulated surfaces are presented.
Vanessa Styles (4460662) +3 more
core +1 more source
Analysis of some localized boundary-domain integral equations for transmission problems with variable coefficients [PDF]
, 2011 This is the post-print version of the Article. The official published version can be found at the links below - Copyright @ 2011 Birkhäuser Boston.Some segregated systems of direct localized boundary-domain integral equations (LBDIEs) associated with ...
Mikhailov, SE +4 more
core +1 more source
A generic approach to the filtering of matrix fields with singular PDEs [PDF]
, 2007 There is an increasing demand to develop image processing tools for the filtering and analysis of matrix-valued data, so-called matrix fields. In the case of scalar-valued images parabolic partial differential equations (PDEs) are widely used to perform ...
Didas, Stephan +6 more
core +1 more source
High-Frequency Analysis Of Parabolic Stochastic Pdes
, 2020 We consider the problem of estimating stochastic volatility for a class of second-order parabolic stochastic PDEs. Assuming that the solution is observed at high temporal frequency, we use limit theorems for multipower variations and related functionals ...
Chong, Carsten, Chong, C.
core +2 more sources