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Kernel-based collocation methods for Zakai equations

JOURNAL ARTICLE published 15 September 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Japan Society for the Promotion of Science (JP17K05359)

Authors: Yumiharu Nakano

A high order time discretization of the solution of the non-linear filtering problem

JOURNAL ARTICLE published December 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Engineering and Physical Sciences Research Council (EP/H0005500/1) | Agència de Gestió d’Ajuts Universitaris i de Recerca (2009 BP-A 0237) | The Research Council of Norway (eVita 205328)

Authors: Dan Crisan | Salvador Ortiz-Latorre

On a $$p(t,x)$$ p ( t , x ) -Laplace evolution equation with a stochastic force

JOURNAL ARTICLE published September 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: C. Bauzet | G. Vallet | P. Wittbold | A. Zimmermann

Quasilinear generalized parabolic Anderson model equation

JOURNAL ARTICLE published March 2019 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: I. Bailleul | A. Debussche | M. Hofmanová

Numerical analysis of lognormal diffusions on the sphere

JOURNAL ARTICLE published March 2018 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by European Research Council (ERC AdG 247277) | Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung (SNF 200021_159940/1) | Vetenskapsrådet (Reg. No. 621-2014-3995)

Authors: Lukas Herrmann | Annika Lang | Christoph Schwab

Uniform estimate of an iterative method for elliptic problems with rapidly oscillating coefficients

JOURNAL ARTICLE published December 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Chenlin Gu

Decay of the stochastic linear Schrödinger equation in $$d ge 3$$ with small multiplicative noise

JOURNAL ARTICLE published June 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Engineering and Physical Sciences Research Council (EP/N021568/1)

Authors: Chenjie Fan | Weijun Xu

Stochastic partial differential equations: analysis and computations

JOURNAL ARTICLE published March 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Arnaud Debussche | Boris Rozovsky

Existence and blow-up of solutions to the fractional stochastic heat equations

JOURNAL ARTICLE published March 2018 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Pavel Bezdek

Stochastic CGL equations without linear dispersion in any space dimension

JOURNAL ARTICLE published September 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Sergei Kuksin | Vahagn Nersesyan

A stochastic model of chemorepulsion with additive noise and nonlinear sensitivity

JOURNAL ARTICLE published June 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by engineering and physical sciences research council (EP/L015811/1)

Authors: Ilya Chevyrev | Ben Hambly | Avi Mayorcas

The hyperbolic Anderson model: moment estimates of the Malliavin derivatives and applications

JOURNAL ARTICLE published September 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Directorate for Mathematical and Physical Sciences (1811181) | Ministerio de Economia y Competitividad (PGC2018-097848-B-I00)

Authors: Raluca M. Balan | David Nualart | Lluís Quer-Sardanyons | Guangqu Zheng

A note on log–log blow up solutions for stochastic nonlinear Schrödinger equations

JOURNAL ARTICLE published December 2022 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by NSFC (No. 11688101,11601482) | NSFC (11871337) | Shanghai Rising-Star Program (21QA1404500)

Authors: Chenjie Fan | Yiming Su | Deng Zhang

Behavior of solutions to the 1D focusing stochastic nonlinear Schrödinger equation with spatially correlated noise

JOURNAL ARTICLE published December 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (DMS-1815873/1927258)

Authors: Annie Millet | Alex D. Rodriguez | Svetlana Roudenko | Kai Yang

Initial-boundary value problem for stochastic transport equations

JOURNAL ARTICLE published September 2021 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Conselho Nacional de Desenvolvimento Científico e Tecnológico (308064/2019-4)

Authors: Wladimir Neves | Christian Olivera

Probabilistic and deterministic algorithms for space multidimensional irregular porous media equation

JOURNAL ARTICLE published March 2013 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Nadia Belaribi | François Cuvelier | Francesco Russo

Exponential convergence of solutions for random Hamilton–Jacobi equations

JOURNAL ARTICLE published September 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by NSERC (2019-07057)

Authors: Renato Iturriaga | Konstantin Khanin | Ke Zhang

Large time asymptotics for the parabolic Anderson model driven by space and time correlated noise

JOURNAL ARTICLE published December 2017 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by National Science Foundation (Grant no. 0932078 000,DMS1512891) | Army Research Office (FED0070445)

Authors: Jingyu Huang | Khoa Lê | David Nualart

Correction to: Uniqueness for nonlinear Fokker–Planck equations and weak uniqueness for McKean-Vlasov SDEs

JOURNAL ARTICLE published March 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Viorel Barbu | Michael Röckner

On the convergence of stochastic transport equations to a deterministic parabolic one

JOURNAL ARTICLE published December 2020 in Stochastics and Partial Differential Equations: Analysis and Computations

Authors: Lucio Galeati