Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. [PDF]
J Dyn Differ Equ, 2023 Lange T. Regularization by Noise of an Averaged Version of the Navier-Stokes Equations. Journal of Dynamics and Differential Equations . 2023.In Tao 2016, the author constructs an averaged version of the deterministic three-dimensional Navier-Stokes ...
Lange T.
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PDE-Aware Deep Learning for Inverse Problems in Cardiac Electrophysiology [PDF]
, 2022 In this work, we present a PDE-aware deep learning model for the numerical solution to the inverse problem of electrocardiography. The model both leverages data availability and exploits the knowledge of a physically based mathematical model, expressed ...
Simone Deparis +3 more
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Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation [PDF]
, 2022 57 pages, 11 figures - minor corrections with respect to the previous versionInternational audienceThe Cauchy-Dirichlet pbm for the superquadratic viscous Hamilton-Jacobi eqn (VHJ), which has important applications in stochastic control theory, admits a ...
Noriko Mizoguchi +3 more
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Image compression with anisotropic diffusion [PDF]
, 2008 Compression is an important field of digital image processing where well-engineered methods with high performance exist. Partial differential equations (PDEs), however, have not much been explored in this context so far. In our paper we introduce a novel
Welk, Martin +19 more
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Rough PDEs and Hörmander's theorem for semilinear SPDEs [PDF]
, 2020 We investigate existence, uniqueness and regularity for local in time solutions of rough parabolic equations driven by a multiplicative noise of the form dut ´ Ltutdt “ Nputqdt ` ÿ d i“1 FiputqdXi t , where pLtqtPr0,Ts is a time-dependent ...
Gerasimovics, Andris
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Advanced numerical treatment of chemotaxis driven PDEs in mathematical biology [PDF]
, 2013 From the first formulation of chemotaxis-driven partial differential equations (PDEs) by Keller and Segel in the 1970's up to the present, much effort has been expended in modelling complex chemotaxis re- lated processes.
Strehl, Robert
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Kompetitive Bildkompression mit linearen PDEs [PDF]
, 2016 In recent years, image compression methods with partial differential equations (PDEs) have become a promising alternative to standard methods like JPEG or JPEG2000.
Hoffmann, Sebastian
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Exponential Runge–Kutta time integration for PDEs [PDF]
, 2023 This dissertation focuses on the development of adaptive time-stepping and high-order parallel stages exponential Runge–Kutta methods for discretizing stiff partial differential equations (PDEs).
Alhsmy, Trky
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Stabilizing radial basis functions techniques for a local boundary integral method [PDF]
, 2023 : Radial basis functions (RBFs) have been gaining popularity recently in the development of methods for solving partial differential equations (PDEs) numerically.
Ponzellini Marinelli, Luciano
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Fold-type solution singularities and characteristic varieties of nonlinear PDEs [PDF]
, 2009 The concept of generalized (distribution) solutions has been of central importance for the development of the theory of linear PDEs, but it is commonly acknowledged to be inadequate for nonlinear PDEs. In the 70’s A. M.
Bächtold, Michael Johannes
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