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· 2025 · arXiv 2505.16895

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A Quantum Spectral Method for Non-Periodic Boundary Value Problems

math.NA · 2025-11-14 · unverdicted · novelty 6.0

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.

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  • A Quantum Spectral Method for Non-Periodic Boundary Value Problems math.NA · 2025-11-14 · unverdicted · none · ref 21

    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.