Semi-analytical solution of a McKean–Vlasov equation with feedback through hitting a boundary
DOI10.1017/S0956792519000342zbMath1479.35534arXiv1808.05311OpenAlexW3125083748WikidataQ126590098 ScholiaQ126590098MaRDI QIDQ5015424
Vadim Kaushansky, Alexander Lipton-Lifschitz, Christoph Reisinger
Publication date: 8 December 2021
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.05311
Volterra equationssmall interaction parametersupercooled Stefan problemstructural credit contagion model
Numerical methods for integral equations (65R20) Asymptotic expansions of solutions to PDEs (35C20) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91) Semilinear parabolic equations (35K58) Vlasov equations (35Q83)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical solution of Volterra integral equations with singularities
- Particle systems with singular interaction through hitting times: application in systemic risk modeling
- A new approach to the numerical solution of Volterra integral equations by using Bernstein's approximation
- Mean field systems on networks, with singular interaction through hitting times
- Stefan-like problems
- On integral equations arising in the first-passage problem for Brownian motion
- Structural default model with mutual obligations
- Analytical approximations of non-linear SDEs of McKean-Vlasov type
- Multilevel and multi-index Monte Carlo methods for the McKean-Vlasov equation
- Rate of convergence of a particle method to the solution of the McKean-Vlasov equation
- Analysis of nonlinear noisy integrate \& fire neuron models: blow-up and steady states
- An SPDE model for systemic risk with endogenous contagion
- At the mercy of the common noise: blow-ups in a conditional McKean-Vlasov problem
- Dynamic contagion in a banking system with births and defaults
- Simulation of a simple particle system interacting through hitting times
- Iterative multilevel particle approximation for McKean-Vlasov SDEs
- A McKean-Vlasov equation with positive feedback and blow-ups
- Particle systems with a singular mean-field self-excitation. Application to neuronal networks
- Global solvability of a networked integrate-and-fire model of McKean-Vlasov type
- Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials
- Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
- Asymptotic behaviour \((t\to +0)\) of the interface for the critical case of undercooled Stefan problem
- Efficient solution of structural default models with correlated jumps and mutual obligations
- MODERN MONETARY CIRCUIT THEORY, STABILITY OF INTERCONNECTED BANKING NETWORK, AND BALANCE SHEET OPTIMIZATION FOR INDIVIDUAL BANKS
- A critical case for the solvability of stefan-like problems
- Systemic Risk in Financial Systems
- Asymptotic behavior of solutions to the Stefan problem with a kinetic condition at the free boundary
- High-Order Methods for Volterra Integral Equations with General Weak Singularities
- Ray methods for free boundary problems
- Some remarks on the regularization of supercooled one-phase Stefan problems in one dimension
- Modelling bonds and credit default swaps using a structural model with contagion
- NUMERICAL SOLUTION OF VOLTERRA INTEGRAL EQUATIONS WITH WEAKLY SINGULAR KERNELS WHICH MAY HAVE A BOUNDARY SINGULARITY
- Fast Numerical Solution of Nonlinear Volterra Convolution Equations
- The Numerical Solution of Weakly Singular Volterra Integral Equations by Collocation on Graded Meshes
- SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
- Singularity formation in the one-dimensional supercooled Stefan problem
- Classical Solutions for a Nonlinear Fokker-Planck Equation Arising in Computational Neuroscience
- McKean–Vlasov Limit in Portfolio Optimization
- Regularization by Kinetic Undercooling of Blow-up in the Ill-posed Stefan Problem
- Stochastic Evolution Equations in Portfolio Credit Modelling
- A CLASS OF MARKOV PROCESSES ASSOCIATED WITH NONLINEAR PARABOLIC EQUATIONS
- A stochastic particle method for the McKean-Vlasov and the Burgers equation
- Transition Probability of Brownian Motion in the Octant and its Application to Default Modelling
This page was built for publication: Semi-analytical solution of a McKean–Vlasov equation with feedback through hitting a boundary