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Elliptic PDEs with random coefficients

Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients *

Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients *

... of elliptic PDEs with random diffusion coefficients typically re- quires a representation of the diffusion field in terms of a sequence y = (y j ) j≥1 of scalar random ...

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An adaptive sparse grid method for elliptic PDEs with stochastic coefficients

An adaptive sparse grid method for elliptic PDEs with stochastic coefficients

... words: Elliptic PDEs with random coefficients, Stochastic collo- cation method, Anisotropic sparse grid, Adaptation ...equation with stochastic ...

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Sparse polynomial approximation of parametric elliptic PDEs Part II: lognormal coefficients *

Sparse polynomial approximation of parametric elliptic PDEs Part II: lognormal coefficients *

... is defined from the parameter domain U to the solution space V . Equations of this type arise both in stochastic and deterministic modeling, depending on the nature of the parameters y j which may either be random ...

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Near-optimal approximation methods for elliptic PDEs with lognormal coefficients

Near-optimal approximation methods for elliptic PDEs with lognormal coefficients

... of random fields The analysis in §2 and §3 shows that for both Galerkin and weighted least-squares methods, the total error of approximation is split into two terms, resulting from the spatial and parametric ...

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Second Order PDEs with Dirichlet White Noise Boundary Condition

Second Order PDEs with Dirichlet White Noise Boundary Condition

... ORDER PDES WITH DIRICHLET WHITE NOISE BOUNDARY CONDITIONS ZDZISLAW BRZE´ ZNIAK, BEN GOLDYS, SZYMON PESZAT, AND FRANCESCO RUSSO ...domains with smooth boundary with random Dirichlet ...

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Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data

Polynomial approximation by means of the random discrete L2 projection and application to inverse problems for PDEs with stochastic data

... the random discrete L 2 projection on polynomial spaces (hereafter RDP) for the approximation of scalar Quantities of Interest (QOIs) related to the solution of a Partial Differential Equation model with ...

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Calculation of the random-incidence scattering coefficients of a sine-shaped surface

Calculation of the random-incidence scattering coefficients of a sine-shaped surface

... but with a structural wavelength of 20 cm and amplitude of 6 cm, so only differing slightly from our reference ...scattering coefficients representative for infinite periodical ...sample with the ...

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Hodge-DeRham theory with degenerating coefficients

Hodge-DeRham theory with degenerating coefficients

... HS with weight filtration W M = W (Σ i∈M N i ) shifted by m, however this result doesn’t lead directly to a structure of mixed Hodge complex since what happens at the intersection of Y M and Y K for two subsets M ...

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Some elliptic problems with singularities

Some elliptic problems with singularities

... If u vanishes on a larger set, one may still hope to conclude, under some weaker condition on a, that u ≡ 0 in Ω. Such a result was obtained by B´ enilan and Brezis [6, Appendix D] (with a contribution by R. ...

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Case studies in measurement of random incidence scattering coefficients

Case studies in measurement of random incidence scattering coefficients

... sweeps. With this choice the smallest possible time variance effect is ...expected. With MLS signals these effects would be larger ...measurements with and without door openings ...

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Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications *

Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications *

... problem of a (representative) agent, using a control α based on her/his current private state X t at time t, and of the information brought by the common noise F t 0 , typically the condi- tional mean E[X t |W 0 ], which ...

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A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

... AND APPLICATIONS TO DISCRETIZATION OF DEGENERATE PARABOLIC-ELLIPTIC PDES B. ANDREIANOV, C. CANC` ES, AND A. MOUSSA Abstract. We propose a discrete functional analysis result suitable for prov- ing ...

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Asymptotic distribution of circularity coefficients estimate of complex random variables

Asymptotic distribution of circularity coefficients estimate of complex random variables

... circularity coefficients of scalar and multidimensional complex random variables ...circularity coefficients, the maximum likelihood estimate of the circularity coefficients in the Gaussian ...

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Eigenvalue problems with sign-changing coefficients

Eigenvalue problems with sign-changing coefficients

... 0 (Ω)| div(ς∇v) ∈ L 2 (Ω)} ⊂ P H 1+s (Ω) (algebraically and topologically). The exponent s > 0 depends both on the geometrical setting and on the value of κς. Moreover, it can be arbitrarily close to zero. For a FE ...

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On certain nonlinear elliptic systems with indefinite terms.

On certain nonlinear elliptic systems with indefinite terms.

... : Elliptic systems , p - Laplacian , variational methods , mountain - pass Lemma , Palais - Smale condition , potential function , Moser iterative method ...

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Chance-constrained programming with fuzzy stochastic coefficients

Chance-constrained programming with fuzzy stochastic coefficients

... faced with situations where, at the same time, coefficients in an optimisation problem are random variables and their realisations are not completely ...When random variables take values that ...

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STRONG-VISCOSITY SOLUTIONS: SEMILINEAR PARABOLIC PDEs AND PATH-DEPENDENT PDEs

STRONG-VISCOSITY SOLUTIONS: SEMILINEAR PARABOLIC PDEs AND PATH-DEPENDENT PDEs

... path-dependent PDEs proceeding as in the finite dimensional Markovian case, ...path-dependent PDEs converging to our strong-viscosity ...the coefficients of the path-dependent partial differential ...

51

Fast brain decoding with random sampling and random projections

Fast brain decoding with random sampling and random projections

... sizes, with larger cohorts and higher-resolutions imaging, this cost is increasingly a ...of random sampling and projections as fast data approximation techniques for brain ...after random sampling ...

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Asymptotics of linear recurrences with rational coefficients

Asymptotics of linear recurrences with rational coefficients

... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...

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On a semilinear elliptic equation with inverse square potential

On a semilinear elliptic equation with inverse square potential

... [4] H. Brezis and P.L. Lions, A note on isolated singularities for linear elliptic equations, Mathematical analysis and applications, Adv. in Math. Suppl. Stud., 7a, Academic Press, New York–London, 1981, ...

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