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Abstract. In this paper, we propose an efficient and accurate numerical method for computing the ground state of spin-1 Bose-Einstein condensates (BEC) by using the normalized gradient flow or imaginary time method. The key idea is to find a third projection or normalization condition based on the relation between the chemical potentials so that the three projection parameters used in the projection step of the normalized gradient flow are uniquely determined by this condition as well as the other two physical conditions given by the conservation of total mass and total magnetization. This allows us to successfully extend the most popular and powerful normalized gradient flow or imaginary time method for computing the ground state of single component BEC to compute the ground state of spin-1 BEC. An efficient and accurate discretization scheme, the backward-forward Euler sine-pseudospectral method (BFSP), is proposed to discretize the normalized gradient flow. Extensive numerical results on ground states of spin-1 BEC with ferromagnetic/antiferromagnetic interaction and harmonic/optical lattice potential in one/three dimensions are reported to demonstrate the efficiency of our new numerical method.

This article argues for the importance of teaching multimodal literacy in schools so as to adequately equip students to navigate the multimodal communicative landscape. Developing multimodal literacy in students is about developing in them the ability to view multimodal texts critically and for them to represent their ideas through the production of effective multimodal texts. This article describes an instructional approach developed to teach multimodal texts and describes the trial of the approach in a secondary school in Singapore. The approach is informed by Systemic Functional Theory and is aligned to the Learning by Design Framework widely used in multiliteracies. The systemic functional approach provides scaffolds for students to access the meanings made in multimodal texts by introducing the features and typical functions of the text, as well as highlighting the common strategies used in these multimodal texts to make meaning.

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