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[PDF] Top 20 An averaging theory for nonlinear partial differential equations

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An averaging theory for nonlinear partial differential equations

An averaging theory for nonlinear partial differential equations

... integrable partial differential equa- tions are usually deduced from idealization of certain physical ...but nonlinear and ...of an integrable or linear ...been an important and popular topic ... Voir le document complet

107

Development of geostatistical models using stochastic partial differential equations

Development of geostatistical models using stochastic partial differential equations

... mean-square theory (Sobczyk, 1991) seems to be the most adapted to geostatistical ...Stochastic Differential Equations without imposing the right side to be a typical model such as a White ... Voir le document complet

315

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

... as an additional, albeit special, ...formulations for the parabolic problem in this paper — our primary focus here is on the treatment of the nonaffine and nonlinear ...employed for ... Voir le document complet

42

Invariant discretizations of partial differential equations

Invariant discretizations of partial differential equations

... years for particular equations, including Burg- ers’ equation, the Schrödinger equation and variations on the heat equation to name only a ...the theory and are responsible for the computation ... Voir le document complet

158

A priori Convergence Theory for Reduced-Basis Approximations of Single-Parametric Elliptic Partial Differential Equations

A priori Convergence Theory for Reduced-Basis Approximations of Single-Parametric Elliptic Partial Differential Equations

... (save for conditioning issues) irrelevant. This permits, for example, log-random distributions — particularly attractive in higher parameter di- mensions in which tensor-product grids are prohibitively ... Voir le document complet

12

Stochastic partial differential equations with singular terminal condition

Stochastic partial differential equations with singular terminal condition

... stochastic differential equations, stochastic partial differential equations, monotone condition, singular terminal ...Stochastic Differential Equations (BDSDEs for ... Voir le document complet

46

Development of geostatistical models using Stochastic Partial Differential Equations

Development of geostatistical models using Stochastic Partial Differential Equations

... mean-square theory (Sobczyk, 1991) seems to be the most adapted to geostatistical ...Stochastic Differential Equations without imposing the right side to be a typical model such as a White ... Voir le document complet

315

Residual equilibrium schemes for time dependent partial differential equations

Residual equilibrium schemes for time dependent partial differential equations

... on an underlying numerical discretization and is capable to preserve the steady states by keeping the accuracy of the underlying ...techniques for which the direct construction of a steady state preserving ... Voir le document complet

23

In-Domain Control of Partial Differential Equations

In-Domain Control of Partial Differential Equations

... plays an important role in stabilizing as well as track- ing desired signals and rejection of ...developed for finite-dimensional systems by discretizing the original infinite-dimensional ...[17]. ... Voir le document complet

135

Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations

Option valuation and hedging using asymmetric risk function: asymptotic optimality through fully nonlinear Partial Differential Equations

... ous time one is small (see, for instance, [ 10 ] for results about convergence rate). In low-frequency hedging such as in energy markets [ 3 ], the local residual risk is slightly bigger and may become ... Voir le document complet

36

Forward Feynman-Kac type representation for semilinear nonconservative Partial Differential Equations

Forward Feynman-Kac type representation for semilinear nonconservative Partial Differential Equations

... equation. An alternative approach for representing this type of PDE is given by forward-backward stochastic differential ...[28] for a survey and [30] for a recent monograph on the ... Voir le document complet

37

Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case

Degenerate Parabolic Stochastic Partial Differential Equations: Quasilinear case

... Institute for Mathematics in the Sciences and Université Lyon 1 In this paper, we study the Cauchy problem for a quasilinear degener- ate parabolic stochastic partial differential equation ... Voir le document complet

41

Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

Fully nonlinear stochastic partial differential equations: non-smooth equations and applications

... known for equations like (0.1) even for smooth H before [LS1], with the exception of the uniformly elliptic linear theory, ...see, for example, Watanabe [W] and the references therein | ... Voir le document complet

12

Nonlinear damped partial differential equations and their uniform discretizations

Nonlinear damped partial differential equations and their uniform discretizations

... of nonlinear feedbacks were only concerning feedback functions having a polynomial growth in a neighborhood of 0 (see ...(s) for all |s| 6 N (see ...of an ordinary differential equation S ′ ... Voir le document complet

42

Nonlinear regularizing effect for hyperbolic partial differential equations

Nonlinear regularizing effect for hyperbolic partial differential equations

... ∗ ]×[−ρ ∗ u ∗ ,ρ ∗ u ∗ ]) . Any DiPerna solution whose artificial viscous approximation with viscosity ǫ > 0 satisfies ρ ǫ ≥ ρ ∗ uniformly on O as ǫ → 0 is admissible on O. Yet, the global existence of admissible ... Voir le document complet

8

Isogeometric methods for hyperbolic partial differential equations

Isogeometric methods for hyperbolic partial differential equations

... recently, an alternative approach has emerged, the discontinuous Galerkin method (DGM), which shares some features with both the FVM and the ...Hill for solving a time-independent linear hyperbolic ... Voir le document complet

236

Quadratic expansions and partial regularity for fully nonlinear uniformly parabolic equations

Quadratic expansions and partial regularity for fully nonlinear uniformly parabolic equations

... FULLY NONLINEAR UNIFORMLY PARABOLIC EQUATIONS JEAN-PAUL DANIEL ...Abstract. For a parabolic equation associated to a uniformly elliptic opera- tor, we obtain a W 3,ε estimate, which provides a lower ... Voir le document complet

35

Numerical Methods and Deep Learning for Stochastic Control Problems and Partial Differential Equations

Numerical Methods and Deep Learning for Stochastic Control Problems and Partial Differential Equations

... (DNN) for the approxima- tion/learning of (i) the optimal policy, and then of (ii) the value ...get an approximation of the optimal policy, and recalling the martingale property ( ...regressions for ... Voir le document complet

271

Solvability for a nonlinear coupled system of n fractional differential equations

Solvability for a nonlinear coupled system of n fractional differential equations

... [16] Wang, J., Xian, H. and Liu, Z. Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations. International Journal of ... Voir le document complet

11

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

... Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations Yvon Maday, Anthony Patera, Gabriel Tur[r] ... Voir le document complet

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