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propagation problems, stochastic partial differential equations, geometric numerical integration, optimization, biomathematics, biostatistics, spatial modeling, Bayesian inference, high-dimensional data, large
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computationally challenging. To address this, our research employs advanced computational methods to simplify high-fidelity 1-D hydrodynamic models based on Partial Differential Equations (PDEs). This approach
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dynamical systems theory, including differential equations, simulation techniques, state-space and input-output representations, time-delay embedding, and/or time series analysis from experimental data
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hydrodynamic models based on Partial Differential Equations (PDEs). This approach yields efficient reduced-order models that accurately represent essential lake behaviors with significantly lower computational