A Fourier-based Picard-iteration approach for a class of McKean–Vlasov SDEs with Lévy jumps
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Publication:5086642
DOI10.1080/17442508.2020.1771337zbMath1490.65005arXiv1812.05026OpenAlexW3034028567MaRDI QIDQ5086642
Ankush Agarwal, Stefano Pagliarani
Publication date: 6 July 2022
Published in: Stochastics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.05026
Fourier transformLévy processesPicard iterationnonlinear stochastic differential equationsMcKean-Vlasov model
Numerical solutions to stochastic differential and integral equations (65C30) Numerical methods in Fourier analysis (65T99) Numerical methods for functional equations (65Q20)
Related Items (2)
A flexible split-step scheme for solving McKean-Vlasov stochastic differential equations ⋮ Multilevel Picard approximations for McKean-Vlasov stochastic differential equations
Cites Work
- Unnamed Item
- A Jump-Diffusion Model for Option Pricing
- PDE and martingale methods in option pricing.
- McKean-Vlasov Ito-Skorohod equations, and nonlinear diffusions with discrete jump sets
- Nonlinear diffusion with jumps
- Particle representations for a class of nonlinear SPDEs
- Analytical approximations of non-linear SDEs of McKean-Vlasov type
- Multilevel and multi-index Monte Carlo methods for the McKean-Vlasov equation
- A stochastic particle method with random weights for the computation of statistical solutions of McKean-Vlasov equations
- Rate of convergence of a particle method to the solution of the McKean-Vlasov equation
- Stochastic McKean-Vlasov equations
- At the mercy of the common noise: blow-ups in a conditional McKean-Vlasov problem
- A family of density expansions for Lévy-type processes
- Iterative multilevel particle approximation for McKean-Vlasov SDEs
- A McKean-Vlasov equation with positive feedback and blow-ups
- A cubature based algorithm to solve decoupled McKean-Vlasov forward-backward stochastic differential equations
- Global solvability of a networked integrate-and-fire model of McKean-Vlasov type
- Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations
- Nonlinear SDEs driven by L\'evy processes and related PDEs
- Projected Particle Methods for Solving McKean--Vlasov Stochastic Differential Equations
- McKean–Vlasov limit for interacting systems with simultaneous jumps
- Analytical Expansions for Parabolic Equations
- Numerical Inversion of Laplace Transforms by Relating Them to the Finite Fourier Cosine Transform
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