Resonance-based integrators for stochastic Schrödinger equations achieve first-order strong convergence at low regularity and long-time pathwise errors of O(ε²τ) in weakly nonlinear regimes up to times O(ε^{-2}).
Armstrong-Goodall, Y
2 Pith papers cite this work. Polarity classification is still indexing.
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Derives the resonance-based midpoint rule as a symplectic scheme for stochastic NLS and analyzes its convergence in low regularity.
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Resonance-based integrators for stochastic Schr\"odinger equations. Convergence and long-time error bounds
Resonance-based integrators for stochastic Schrödinger equations achieve first-order strong convergence at low regularity and long-time pathwise errors of O(ε²τ) in weakly nonlinear regimes up to times O(ε^{-2}).
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Low regularity symplectic schemes for stochastic NLS
Derives the resonance-based midpoint rule as a symplectic scheme for stochastic NLS and analyzes its convergence in low regularity.