Large Time-Stepping Spectral Methods for the Semiclassical Limit of the Defocusing Nonlinear Schrödinger Equation

<table>Numerical solutions of Example <a href="https://static.hindawi.com/articles/ddns/volume-2009/283959/figures/#ex5.2">5.2</a> by ED2/EP2 for the weak <svg height="19.5375" id="M385" style="vertical-align:-2.3205pt" version="1.1" viewbox="0 0 48.862499 19.5375" width="48.862499" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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</svg> defocusing nonlinearity (<svg height="11.225" id="M386" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 87.512497 11.225" width="87.512497" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
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Discrete Dynamics in Nature and Society

fig9

Figure 9

Figure 9: Large Time-Stepping Spectral Methods for the Semiclassical Limit of the Defocusing Nonlinear Schrödinger Equation 