Stochastics and Partial Differential Equations-Analysis and Computatio

Papers
(The TQCC of Stochastics and Partial Differential Equations-Analysis and Computatio is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)
ArticleCitations
Central limit theorems for spatial averages of the stochastic heat equation via Malliavin–Stein’s method12
From additive to transport noise in 2D fluid dynamics11
Central limit theorems for stochastic wave equations in dimensions one and two9
Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions8
More on the long time stability of Feynman–Kac semigroups7
Well-posedness and asymptotic behavior of stochastic convective Brinkman–Forchheimer equations perturbed by pure jump noise6
Quantitative normal approximations for the stochastic fractional heat equation6
Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlinearity I: measures6
Strong approximation of monotone stochastic partial differential equations driven by multiplicative noise6
Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean–Vlasov SDEs5
Anisotropic Gaussian random fields: criteria for hitting probabilities and applications5
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations4
Well-posedness for a stochastic 2D Euler equation with transport noise4
The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion4
LDP and CLT for SPDEs with transport noise3
Regularisation by regular noise3
Numerical approximation of nonlinear SPDE’s3
Existence and probabilistic representation of the solutions of semilinear parabolic PDEs with fractional Laplacians3
A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations3
Gaussian fluctuations of a nonlinear stochastic heat equation in dimension two3
Stochastic analysis with modelled distributions3
Stochastic homogenization of the Landau–Lifshitz–Gilbert equation3
Convergent numerical approximation of the stochastic total variation flow3
The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications3
Doubly nonlinear stochastic evolution equations II3
$$L^2$$-theory for transition semigroups associated to dissipative systems3
2D-defocusing nonlinear Schrödinger equation with random data on irrational tori3
Stationary stochastic Navier–Stokes on the plane at and above criticality2
A linear stochastic biharmonic heat equation: hitting probabilities2
Two dimensional nonlinear Schrödinger equation with spatial white noise potential and fourth order nonlinearity2
Mixing rates for Hamiltonian Monte Carlo algorithms in finite and infinite dimensions2
Existence of dynamical low rank approximations for random semi-linear evolutionary equations on the maximal interval2
Norm inflation for a non-linear heat equation with gaussian initial conditions2
An extension of the sewing lemma to hyper-cubes and hyperbolic equations driven by multi-parameter Young fields2
Decay of the stochastic linear Schrödinger equation in $$d \ge 3$$ with small multiplicative noise2
Well-posedness for a stochastic Camassa–Holm type equation with higher order nonlinearities2
Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations2
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations2
Stochastic evolution equations with Lévy noise in the dual of a nuclear space2
Space-time Euler discretization schemes for the stochastic 2D Navier–Stokes equations2
Stochastic resonance in stochastic PDEs2
Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds2
Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes2
Local martingale solutions and pathwise uniqueness for the three-dimensional stochastic inviscid primitive equations2
Moderate deviations for fully coupled multiscale weakly interacting particle systems2
A central limit theorem and moderate deviation principle for the stochastic 2D Oldroyd model of order one2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations2
Stochastic regularization for transport equations2
Global well-posedness and long-time behavior of the fractional NLS2
Backward and forward filtering under the weak Hörmander condition2
Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise2
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