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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

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

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

Gaussian fluctuations from the 2D KPZ equation

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

Research funded by Division of Mathematical Sciences (1807748)

Authors: Yu Gu

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

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

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 Cauchy problem for stochastic integro-differential equations with radially O-regularly varying Lévy measure

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

Authors: R. Mikulevicius | C. Phonsom

LDP and CLT for SPDEs with transport noise

JOURNAL ARTICLE published March 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Germany’s Excellence Strategy - GZ 2047/1 (project-id 390685813) | National Key R &D Program of China (2020YFA0712700) | National Natural Science Foundation of China (11931004,12090014) | Youth Innovation Promotion Association, CAS (Y2021002) | SNSF Grant (514349) | Swiss State Secretariat for Education, Research and Innovation (M822.00034)

Authors: Lucio Galeati | Dejun Luo

Statistical analysis of discretely sampled semilinear SPDEs: a power variation approach

JOURNAL ARTICLE published March 2024 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by division of mathematical sciences (DMS-1907568) | deutsche forschungsgemeinschaft (SFB1294/1 - 318763901)

Authors: Igor Cialenco | Hyun-Jung Kim | Gregor Pasemann

Variations of the solution to a fourth order time-fractional stochastic partial integro-differential equation

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

Authors: Wensheng Wang

Phase transitions in asymptotically singular anderson hamiltonian and parabolic model

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

Authors: Pierre Yves Gaudreau Lamarre

Correction to: Two-scale coupling for preconditioned Hamiltonian Monte Carlo in infinite dimensions

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

Authors: Nawaf Bou-Rabee | Andreas Eberle

Maximal inequalities for stochastic convolutions and pathwise uniform convergence of time discretisation schemes

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

Research funded by Nederlandse Organisatie voor Wetenschappelijk Onderzoek (639.032.427)

Authors: Jan van Neerven | Mark Veraar