Numerical Integration of Schrödinger Maps via the Hasimoto Transform
DOI10.1137/22m1531555arXiv2211.01282OpenAlexW4313491630MaRDI QIDQ6154529
Georg Maierhofer, Valeria Banica, Katharina Schratz
Publication date: 15 February 2024
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.01282
PDEs in connection with optics and electromagnetic theory (35Q60) PDEs in connection with fluid mechanics (35Q35) Vortex flows for incompressible inviscid fluids (76B47) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Numerical quadrature and cubature formulas (65D32) Motion of charged particles (78A35) Resonance in context of PDEs (35B34) Toeplitz, Cauchy, and related matrices (15B05)
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