[PDF] Top 20 In-Domain Control of Partial Differential Equations
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In-Domain Control of Partial Differential Equations
... perspective of actuator locations, PDE control generally consists of boundary control and in-domain ...boundary control design of PDEs [66, 82, 110]. Boundary ... Voir le document complet
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Advances in Feel++: a domain specific embedded language in C++ for partial differential equations
... from partial differential equations (PDEs) through gen- eralized Galerkin methods are a common tool among mathematicians and ...specializing in a type of equation, ...type of ... Voir le document complet
20
On the system of partial differential equations arising in mean field type control
... dynamics of the players are independent stochastic processes, both mean field games and control of McKean-Vlasov dynamics naturally lead to a coupled sys- tem of partial ... Voir le document complet
23
Domain decomposition methods with coupled transmission conditions for the optimal control of systems governed by elliptic partial differential equations
... Unité de recherche Inria Lorraine, Technopôle de Nancy-Brabois, Campus scientifique, 615 rue du Jardin Botanique, BP 101, 54600 Villers Lès Nancy Unité de recherche Inria Rennes, Irisa, [r] ... Voir le document complet
38
On the Optimal Control of Some Parabolic Partial Differential Equations Arising in Economics
... studied in economics like pollution spreading or migrations can be also modelled as diffusion pro- ...cesses. In all cases, the use of parabolic partial differential equations ... Voir le document complet
27
Stochastic partial differential equations with singular terminal condition
... PDE in which randomness is integrated to account for ...These equations appear naturally in various applications as for instance, Zakai equation in filtering ([26, 27]), in pathwise ... Voir le document complet
46
Sharp Derivative Bounds for Solutions of Degenerate Semi-Linear Partial Differential Equations
... Completion of the Proof in the Smooth Setting. For n = 2, the extension of Proposition ...end of the proof of Theorem ...terms in the new versions of Proposition ... Voir le document complet
67
Numerical Methods and Deep Learning for Stochastic Control Problems and Partial Differential Equations
... feature of the Q-algorithm is that regressing the value function using quantization-based methods is ...points of the grids the estimations suffer from instability and how to change the grid to fix the ... Voir le document complet
271
An averaging theory for nonlinear partial differential equations
... f(u)(·) in suf- ficiently smooth Sobolev ...integrals of motion, calculated for the potential ...intervals of order ǫ −1 , its actions I(u ǫ (t, ·)) can be approximated by solutions of a ... Voir le document complet
107
Reflexive spaces of smooth functions : a logical account of linear partial differential equations
... summarized in [? KM ] the so-called convenient smooth- ...synthetic differential geometry as diffeological spaces ...notion of smoothness, that does not imply continuity except on very special ... Voir le document complet
252
Recent developments in spectral stochastic methods for the numerical solution of stochastic partial differential equations
... treatment of these problems in an uncertain context remains a crucial issue in the medium or long ...consists in proposing generic methods, applicable to a wide class of problems and ... Voir le document complet
59
Solving Partial Differential Equations with Chaotic Asynchronous Schemes in Multi- Interaction Systems
... solving partial differential equations (PDEs), as they can appear to model natural ...or domain decomposition meth- ods and multigrid ...kind of simulations described above ... Voir le document complet
13
Accelerated finite elements schemes for parabolic stochastic partial differential equations
... that in the present paper we consider stochastic PDEs on the whole space R d in the spatial variable, and our finite elements approximations are the solutions of infinite dimensional systems ... Voir le document complet
38
Nonlinear damped partial differential equations and their uniform discretizations
... results of the literature. The first examples of nonlinear feedbacks were only concerning feedback functions having a polynomial growth in a neighborhood of 0 (see ...case of arbitrary ... Voir le document complet
42
Fully nonlinear stochastic partial differential equations: non-smooth equations and applications
... homogeneous of degree 1, an important class of H 's for the applications we present below, satis es ...(0.3). Equations like (0.1) appear in a variety of applications like asymptotics ... Voir le document complet
12
Internal observability for coupled systems of linear partial differential equations
... are of different ...controllability of second order in time cascade or bidiagonal systems under suitable coercivity conditions on the coupling terms, and [5] with a system of two wave ... Voir le document complet
21
Probabilistic representation of a class of non conservative nonlinear Partial Differential Equations
... propagation of chaos and through the control of the time discretization ...interest of this new algorithm. The main contributions of this paper are ...analysis of existence ... Voir le document complet
58
Certified Reduced Basis Methods for Parametrized Partial Differential Equations
... Error Control 4.1 Introduction The development of effective and reliable a posteriori error estimators for the field variable or an output of interest is crucial to ensure the reliability and ... Voir le document complet
121
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
... development of numerical methods that permit the rapid yet accurate and reliable prediction of these PDE-induced input-output relationships in real-time or in the limit of many queries ... Voir le document complet
42
McKean Feynman-Kac probabilistic representations of non-linear partial differential equations
... Structure of the paper In the rest of the paper, to simplify notations, most of the results are stated in the one-dimensional ...review of basic situations where Fokker- Planck ... Voir le document complet
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