A particle scheme based on implicit Euler time stepping and spatial sampling is proved to converge for first-order MFGs under displacement monotonicity, handling non-separable Hamiltonians and singular data for arbitrary horizons.
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math.NA 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.
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Numerical analysis of first-order mean field games under displacement monotonicity
A particle scheme based on implicit Euler time stepping and spatial sampling is proved to converge for first-order MFGs under displacement monotonicity, handling non-separable Hamiltonians and singular data for arbitrary horizons.
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A posteriori error bounds for finite element approximations of time-dependent mean field games
Derives reliable and efficient a posteriori error estimators for a general class of stabilized finite element methods applied to time-dependent mean field games, with an improved version for specific mass-lumping and affine-preserving stabilizations.