Space-time spectral methods can time-step block-by-block by summing coefficients along the time index to pass final-slice data exactly to the next block.
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Sparse spectral discretization for PDEs on algebraic-curve domains via bivariate Koornwinder polynomials with linear-complexity operator matrices and fast transforms.
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Sparse space-time spectral methods can time-step by peel and pass
Space-time spectral methods can time-step block-by-block by summing coefficients along the time index to pass final-slice data exactly to the next block.
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A sparse spectral method on a class of domains bounded by planar algebraic curves
Sparse spectral discretization for PDEs on algebraic-curve domains via bivariate Koornwinder polynomials with linear-complexity operator matrices and fast transforms.