Optimal first-order L2 convergence is proven for the exponential wave integrator on NLSE with L^p_loc potentials down to the well-posedness threshold, with reduced orders for more singular cases.
Alama Bronsard, Y
3 Pith papers cite this work. Polarity classification is still indexing.
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Establishes dimension-dependent L2 convergence rates for first-order EWI on NLSE with singular L2/Lp potentials, achieving first-order accuracy in 3D for Coulomb under p>12/5.
Derives the resonance-based midpoint rule as a symplectic scheme for stochastic NLS and analyzes its convergence in low regularity.
citing papers explorer
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Optimal error bounds on the exponential wave integrator for nonlinear Schr\"odinger equations with highly singular potential
Optimal first-order L2 convergence is proven for the exponential wave integrator on NLSE with L^p_loc potentials down to the well-posedness threshold, with reduced orders for more singular cases.
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Error estimates of an exponential wave integrator for the nonlinear Schr\"odinger equation with singular potential
Establishes dimension-dependent L2 convergence rates for first-order EWI on NLSE with singular L2/Lp potentials, achieving first-order accuracy in 3D for Coulomb under p>12/5.
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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.