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Publication details

Document type
Journal articles

Document subtype
Full paper

Title
Stochastic solutions and singular partial differential equations

Participants in the publication
R. Vilela Mendes (Author)
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA
 CMAFcIO
Summary
Stochastic solutions is a robust technique previously used to obtain new exact solutions\\nfor deterministic nonlinear partial differential equations as well as numerical algorithms\\nsuited to parallel computing. Here it is proposed as a solution method for partial\\ndifferential equations driven by distribution-valued noises. Two examples are worked\\nout in detail.

Date of Publication
2023-10

Institution
FACULDADE DE CIÊNCIAS DA UNIVERSIDADE DE LISBOA

Where published
Communications in Nonlinear Science and Numerical Simulation

Publication Identifiers
ISSN - 1007-5704

Publisher
Elsevier BV

Volume
125

Starting page
107406

Document Identifiers
DOI - https://doi.org/10.1016/j.cnsns.2023.107406
URL - http://dx.doi.org/10.1016/j.cnsns.2023.107406

Keywords
Stochastic solutions; Singular nonlinear PDE’s; Diffusion-branching processes; KPZ


Export

APA
R. Vilela Mendes, (2023). Stochastic solutions and singular partial differential equations. Communications in Nonlinear Science and Numerical Simulation, 125, ISSN 1007-5704. eISSN . http://dx.doi.org/10.1016/j.cnsns.2023.107406

IEEE
R. Vilela Mendes, "Stochastic solutions and singular partial differential equations" in Communications in Nonlinear Science and Numerical Simulation, vol. 125, 2023. 10.1016/j.cnsns.2023.107406

BIBTEX
@article{58994, author = {R. Vilela Mendes}, title = {Stochastic solutions and singular partial differential equations}, journal = {Communications in Nonlinear Science and Numerical Simulation}, year = 2023, volume = 125 }