Stochastics and Partial Differential Equations-Analysis and Computatio

Papers
(The median citation count of Stochastics and Partial Differential Equations-Analysis and Computatio is 1. 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 2022-05-01 to 2026-05-01.)
ArticleCitations
Inviscid limit for stochastic second-grade fluid equations9
Stochastic complex Ginzburg-Landau equation on compact surfaces8
Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics8
Corrigendum to: Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions (Stoch PDE: Anal Comp 12, 1699-1744 (2024))8
An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps8
A mild Girsanov formula8
Probabilistic approaches to the energy equality in forced surface Quasi-Geostrophic equations8
Stationary solutions for the nonlinear Schrödinger equation7
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields7
Higher order homogenization for random non-autonomous parabolic operators6
Regularity theory for a new class of fractional parabolic stochastic evolution equations5
Optimal convergence order for multi-scale stochastic Burgers equation5
A central limit theorem for nonlinear conservative SPDEs5
Scaling limits of stochastic transport equations on manifolds5
Singular SPDEs with the Cauchy-Riemann operator on a torus5
On a finite-volume approximation of a diffusion-convection equation with a multiplicative stochastic force4
Trace theorem and non-zero boundary value problem for parabolic equations in weighted Sobolev spaces4
Regularity of random elliptic operators with degenerate coefficients and applications to stochastic homogenization4
Multilevel Monte Carlo  FEM  for elliptic PDEs with Besov random tree priors4
Transport noise restores uniqueness and prevents blow-up in geometric transport equations4
Renormalization of stochastic nonlinear heat and wave equations driven by subordinate cylindrical Brownian noises4
Temporal fractal nature of linearized Kuramoto–Sivashinsky SPDEs and their gradient in one-to-three dimensions3
Rate of convergence of a semi-implicit time euler scheme for a 2D bénard–boussinesq model3
Monte Carlo method and the random isentropic Euler system3
Global dissipative martingale solutions to the variational wave equation with stochastic forcing3
From stochastic Zakharov system to multiplicative stochastic nonlinear Schrödinger equation3
Stochastic fractional conservation laws: large deviation principle, central limit theorem and moderate deviation principle3
Preface3
Strong Feller semigroups and Markov processes: a counterexample3
Moment estimates for solutions of SPDEs with Lévy colored noise3
Solutions to the stochastic thin-film equation for the range of mobility exponents $$n\in (2,3)$$3
Once again on evolution equations with monotone operators in Hilbert spaces and applications3
Numerical approximation of nonlinear SPDE’s3
Analytically weak solutions to stochastic heat equations with spatially rough noise2
Statistical solutions for the Navier–Stokes–Fourier system2
A counterexample to the strong Skorokhod representation theorem2
Analysis and computations of a stochastic Cahn–Hilliard model for tumor growth with chemotaxis and variable mobility2
Concentration around a stable equilibrium for the non-autonomous $$\Phi _3^4$$ model2
On partially observed jump diffusions III: regularity of the filtering density2
Local strong solutions to the stochastic third grade fluid equations with Navier boundary conditions2
Multidimensional stable driven McKean–Vlasov SDEs with distributional interaction kernel: a regularization by noise perspective2
Probabilistic approach to averaging for a type of multivalued Dirichlet-Neumann problems2
Lecture notes on Malliavin calculus in regularity structures2
Pathwise uniqueness for singular stochastic Volterra equations with Hölder coefficients2
Hitting properties of generalized fractional kinetic equation with time-fractional noise2
Delayed blow-up and enhanced diffusion by transport noise for systems of reaction–diffusion equations2
Asymptotic stability of evolution systems of probability measures of stochastic discrete modified Swift–Hohenberg equations2
An application of the splitting-up method for the computation of a neural network representation for the solution for the filtering equations2
Random models for singular SPDEs2
Estimates in $$L_{p}$$ for solutions of SPDEs with coefficients in Morrey classes2
Estimation of anisotropic viscosities for the stochastic primitive equations2
Existence for stochastic 2D Euler equations with positive $$H^{-1}$$ vorticity2
LDP and CLT for SPDEs with transport noise2
Global martingale solutions for stochastic Shigesada–Kawasaki–Teramoto population models2
Non-linear Young equations in the plane and pathwise regularization by noise for the stochastic wave equation2
The stochastic scalar auxiliary variable approach for stochastic nonlinear Klein–Gordon equation2
Stochastic PDE approach to fluctuating interfaces2
Strong solutions to degenerate SDEs and uniqueness for degenerate Fokker–Planck equations1
Well posedness and stochastic derivation of a diffusion-growth-fragmentation equation in a chemostat1
A stochastic reconstruction theorem on rectangular increments with an application to a mixed hyperbolic SPDE1
Total variation distance between a jump-equation and its Gaussian approximation1
Differentiability of the effective Lagrangian for Hamilton–Jacobi–Bellman equations in dynamic random environments1
Existence and uniqueness of maximal solutions to SPDEs with applications to viscous fluid equations1
$$L_p$$-solvability and Hölder regularity for stochastic time fractional Burgers’ equations driven by multiplicative space-time white noise1
A SIR epidemic model on a refining spatial grid II-central limit theorem1
Renormalization of random models: a review1
Well-posedness and uniform large deviation principle for stochastic generalized Burgers-Huxley equation perturbed by a multiplicative noise1
Nonexplosion for a large class of superlinear stochastic parabolic equations, in arbitrary spatial dimension1
Positive recurrence of a solution of an SDE with variable switching intensities1
A branching particle system approximation for solving partially observed stochastic optimal control problems via stochastic maximum principle1
Global well-posedness of the energy-critical stochastic Hartree nonlinear wave equation1
Counterexamples to regularities for the derivative processes associated to stochastic evolution equations1
Path continuity of Markov processes and locality of Kolmogorov operators1
Degenerate Kolmogorov equations and ergodicity for the stochastic Allen–Cahn equation with logarithmic potential1
Absolute continuity of the solution to stochastic generalized Burgers–Huxley equation1
Sticky nonlinear SDEs and convergence of McKean–Vlasov equations without confinement1
Stochastic evolution equations with Lévy noise in the dual of a nuclear space1
Importance sampling for stochastic reaction–diffusion equations in the moderate deviation regime1
Lower bound on spatial asymptotic of parabolic anderson model with narrow wedge initial condition1
Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach1
Kolmogorov 4/5 law for the forced 3D Navier–Stokes equations1
A regularity theory for stochastic generalized Burgers’ equation driven by a multiplicative space-time white noise1
Invariant measures for multidimensional fractional stochastic volatility models1
Correction to: Doubly nonlinear stochastic evolution equations II1
On ergodic properties of stochastic PDEs1
2D vorticity Euler equations: Superposition solutions and nonlinear Markov processes1
A central limit theorem for the Euler method for SDEs with irregular drifts1
Non-Gaussianity of invariant measures to SPDEs in Da Prato–Debussche regime1
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