Smooth Spectral Filtering in the Helmholtz Cauchy Problem

Documents

• Computational models
• Snippets
• A guide explaining why numerical solutions to ill-posed wave equations fail and how spectral filtering restores mathematical stability.

Exploration Frontiers

• Manual Tikhonov Penalty Parameter -> Morozov's Discrepancy Principle
• Global Spectral/Fourier Decoupling -> Quasi-Reversibility Method
• Static Mode-by-Mode Filter Factor Suppression -> Iterative Regularization
• Global Spectral Periodic Boundaries -> Fourier-Mollification & Local Smoothing
• Half-Plane Analytical Marching -> FEM / Boundary Element Methods (BEM)

Relevant Documents: Analyze Flux and Laplacian of The Yukawa Potential