Results 11 to 20 of about 173,941,364 (56)
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
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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
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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
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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
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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.
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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 +3 more
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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
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Fractional Dissipative PDEs [PDF]
, 2023 In this chapter we provide an introduction to fractional dissipative partial differential equations (PDEs) with a focus on trying to understand their dynamics.
Akagi, Goro +6 more
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Existence of conformal metrics with constant Q-curvature
, 2006 ArXiv : math.AP/0410141.
Djadli, Zindine, Malchiodi, A.
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Stochastic analysis and partial differential equations: theory and numerics [PDF]
, 2020 This thesis is concerned with problems at the interface of stochastic analysis and partial differential equations (PDEs). In particular, we focus on two different classes of problem: the transport of measures under the flow of nonlinear PDEs and the ...
Trenberth, William John
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