Numerical solution for the non-linear Dirichlet problem of a branching process

DOI10.1007/s11785-017-0642-zzbMath1379.35119OpenAlexW2582859051MaRDI QIDQ1683731

Vasile Stănciulescu, Oana Lupaşcu

Publication date: 1 December 2017

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-017-0642-z

zbMATH Keywords

branching processnonlinear Dirichlet problem

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items

\(h\)-transform of Doob and nonlocal branching processes, Numerical approach for stochastic differential equations of fragmentation; application to avalanches, Markov processes on the Lipschitz boundary for the Neumann and Robin problems, From Gaussian estimates for nonlinear evolution equations to the long time behavior of branching processes

Cites Work

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• Measure-valued branching processes associated with Neumann nonlinear semiflows
• Stochastic equation of fragmentation and branching processes related to avalanches
• Nonlinear PDEs and measure-valued branching type processes
• Solving the Dirichlet problem for Navier-Stokes equations by probabilistic approach
• Construction and regularity of measure-valued Markov branching processes
• Branching diffusion representation of semilinear PDEs and Monte Carlo approximation
• Nonlocal branching superprocesses and some related models
• Branching processes for the fragmentation equation
• Potential-theoretical methods in the construction of measure-valued Markov branching processes
• A numerical algorithm for a class of BSDEs via the branching process
• Bounded and \(L^p\)-weak solutions for nonlinear equations of measure-valued branching processes
• Fonctionnelles multiplicatives et additives de Markov
• Branching Markov processes. II
• Measure-valued discrete branching Markov processes
• Numerical Solution of the Dirichlet Problem for Linear Parabolic SPDEs Based on Averaging over Characteristics
• Measure-Valued Branching Markov Processes
• Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation