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The stochastic Fisher-KPP Equation with seed bank and on/off branching coalescing Brownian motion

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

Research funded by Deutsche Forschungsgemeinschaft (DFG SPP 1590,SPP 1590)

Authors: Jochen Blath | Matthias Hammer | Florian Nie

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

Interpolating the stochastic heat and wave equations with time-independent noise: solvability and exact asymptotics

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

Authors: Le Chen | Nicholas Eisenberg

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

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

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

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

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

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

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

An $$L_q(L_p)$$-theory for space-time non-local equations generated by Lévy processes with low intensity of small jumps

JOURNAL ARTICLE published 25 August 2023 in Stochastics and Partial Differential Equations: Analysis and Computations

Research funded by Ministry of Science and ICT, South Korea (NRF-2019R1A5A1028324,NRF-2019R1A5A1028324)

Authors: Jaehoon Kang | Daehan Park

Iterated stochastic integrals in infinite dimensions: approximation and error estimates

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

Research funded by Deutsche Forschungsgemeinschaft (DFG GSC 235/2,Cluster of Excellence 80 The Future Ocean)

Authors: Claudine Leonhard | Andreas Rößler

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

Pathwise uniqueness for stochastic reaction-diffusion equations in Banach spaces with an Hölder drift component

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

Authors: Sandra Cerrai | Giuseppe Da Prato | Franco Flandoli

A note on error estimation for hypothesis testing problems for some linear SPDEs

JOURNAL ARTICLE published September 2014 in Stochastic Partial Differential Equations: Analysis and Computations

Authors: Igor Cialenco | Liaosha Xu

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