Introduces power-law, logistic, and discrepancy-based tapers for correlation-based localization that suppress spurious correlations and often preserve more posterior ensemble variance than distance-based methods in synthetic reservoir assimilation tests.
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Proves exact reconstruction theorem for bulk-surface parabolic system via Carleman observability and Tikhonov reformulation, with Lie-split discretization, stability analysis, adaptive post-processing, and semilinear Allen-Cahn extension.
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Statistical Tapers for Correlation-Based Localization in Ensemble Data Assimilation
Introduces power-law, logistic, and discrepancy-based tapers for correlation-based localization that suppress spurious correlations and often preserve more posterior ensemble variance than distance-based methods in synthetic reservoir assimilation tests.
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A null controllability data assimilation for the bulk-surface heat equation with dynamic boundary conditions
Proves exact reconstruction theorem for bulk-surface parabolic system via Carleman observability and Tikhonov reformulation, with Lie-split discretization, stability analysis, adaptive post-processing, and semilinear Allen-Cahn extension.