Approximations of Dispersive PDEs in the Presence of Low-Regularity Randomness

Author:

Alama Bronsard Yvonne,Bruned Yvain,Schratz Katharina

Publisher

Springer Science and Business Media LLC

Reference57 articles.

1. Y. Alama Bronsard, Y. Bruned, K. Schratz, Low regularity integrators via decorated trees. arXiv:2202.01171.

2. Y. Alama Bronsard, Error analysis of a class of semi-discrete schemes for solving the Gross-Pitaevskii equation at low regularity. J. Comput. Appl. Math., 418, (2023), p. 114632. https://doi.org/10.1016/j.cam.2022.114632.

3. Y. Alama Bronsard, A symmetric low-regularity integrator for the nonlinear Schrödinger equation. arXiv:2301.13109.

4. I. Ampatzoglou, C. Collot, P. Germain, Derivation of the kinetic wave equation for quadratic dispersive problems in the inhomogeneous setting . arXiv:2107.11819.

5. C-E. Bréhier, D. Cohen, Analysis of a splitting scheme for a class of nonlinear stochastic Schrödinger equations. Applied Numerical Mathematics, 186, (2023), p.57-83. https://doi.org/10.1016/j.apnum.2023.01.002.

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