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Numerical Analysis

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Numerical Analysis

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Research Frontiers in Spectral Methods for Periodic Domains

Application of Fourier and Chebyshev basis functions achieving exponential convergence rates for smooth problems on periodic boundaries.

Aliasing Cascades in High-Frequency Spectral Discretizations
Spectral Accuracy Beyond Smoothness: Singular Perturbation Regimes
Gibbs Phenomena Mitigation Through Adaptive Modal Filtering
Spectral-Element Coupling at Heterogeneous Periodic Boundaries
Fast Transform Algorithms for Non-Uniform Periodic Sampling
Spectral Methods in Weakly Chaotic Hamiltonian Systems
Modal Truncation Errors in Time-Dependent Periodic Problems
Preconditioning Strategies for Ill-Conditioned Spectral Operators
Spectral Approximation of Multiscale Periodic Phenomena
Conservation Laws Under Spectral Discretization on Tori

All Numerical Analysis PhD categories