New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.
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BG-SINDy reformulates l0-constrained regression as term-level l2,0 regularization and uses progressive pruning guided by balance contributions to recover small-coefficient terms in multiscale PDEs.
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Energetic Spectral-Element Time Marching Methods for Phase-Field Nonlinear Gradient Systems
New energetic spectral-element time integrators for phase-field gradient systems that preserve discrete energy dissipation and mass conservation, with numerical tests showing better performance than BDF4 and ETDRK4 on Allen-Cahn problems.
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Balance-Guided Sparse Identification of Multiscale Nonlinear PDEs with Small-coefficient Terms
BG-SINDy reformulates l0-constrained regression as term-level l2,0 regularization and uses progressive pruning guided by balance contributions to recover small-coefficient terms in multiscale PDEs.