Source: ISSN: 0036-1429 ; SIAM Journal on Numerical Analysis ; https://hal.science/hal-01366850 ; SIAM Journal on Numerical Analysis, 2017, 55 (4), ⟨10.1137/16M1093872⟩.

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Academic Journal

Quantification of the unique continuation property for the heat equation

Authors : Bourgeois, Laurent;

Subjects: Stability estimate; Lateral Cauchy data; Carleman estimate

Source: ISSN: 2156-8472.

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Academic Journal

On the numerical solution of the heat equation I: Fast solvers in free space

Authors : Li, Jing-Rebecca; Greengard, Leslie;

Subjects: Heat equation; Free space; Unbounded domain

Source: ISSN: 0021-9991.

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Academic Journal

Optimal Control of Infinite Dimensional Bilinear Systems: Application to the Heat and Wave Equations

Authors : Aronna, Maria Soledad; Bonnans, Joseph Fréderic; Kröner, Axel ...

Subjects: Goh transform; heat equation; wave equation

Source: ISSN: 0025-5610.

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Dissertation/ Thesis

Mathematical and numerical analysis of wave problems in periodic media ; Analyse mathématique et numérique de quelques problèmes d'ondes en milieu périodique

Authors : Coatléven, Julien;

Subjects: Periodic media; Transparent boundary conditions; Helmholtz equation

Source: https://pastel.hal.science/pastel-00649212 ; Equations aux dérivées partielles [math.AP]. Ecole Polytechnique X, 2011. Français. ⟨NNT : ⟩.

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Academic Journal

Application of mixed formulations of quasi-reversibility to solve ill-posed problems for heat and wave equations: the 1d case

Authors : Bécache, Eliane; Bourgeois, Laurent; Franceschini, Lucas ...

Subjects: Finite Element Method; Mixed formulation; Heat/wave equation with lateral Cauchy data

Source: ISSN: 1930-8337.

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Academic Journal

The Morozov's principle applied to data assimilation problems

Authors : Bourgeois, Laurent; Dardé, Jérémi;

Subjects: [MATH]Mathematics [math]

Source: ISSN: 0764-583X ; EISSN: 1290-3841.

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Report

A regularization approach to functional Itô calculus and strong-viscosity solutions to path-dependent PDEs

Authors : Cosso, Andrea; Russo, Francesco;

Subjects: strong-viscosity solutions; functional Itô/path-dependent calculus; Horizontal and vertical derivative

Source: https://inria.hal.science/hal-00933678 ; 2015.

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