Quantum spectral method solves non-periodic Dirichlet boundary value problems with polylogarithmic complexity by extending Fourier discretization with domain doubling, antisymmetric reflection, and quantum sine transform.
Strang, The discrete cosine transform, SIAM Review 41 (1999) 135–147
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A Quantum Spectral Method for Non-Periodic Boundary Value Problems
Quantum spectral method solves non-periodic Dirichlet boundary value problems with polylogarithmic complexity by extending Fourier discretization with domain doubling, antisymmetric reflection, and quantum sine transform.