Implementing Spectral Methods for Partial Differential Equations

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Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces (2014, unknown): “, the zeros of the polynomial P ′ n−1(x)(1 − x(2)) [26]), and let ωl, 1 ≤ l ≤ N , be the quadrature weights.”
The Finite Cell Method: A Review in the Context of Higher-Order Structural Analysis of CAD and Image-Based Geometric Models (2015, methodology): “Higher-order approximations are used in the p-version of the finite element method [175, 176] and spectral element methods [31,32,71,88].”
Explicit Discontinuous Galerkin methods for unsteady problems (2012, methodology): “They are found in numerous applications [5, 16, 15, 18, 19, 25, 26, 33] and are easy to implement [29].”