Efficient numerical methods for pricing American options under stochastic volatility

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ADI Schemes for Pricing American Options under the Heston Model (2013, unknown): “It is shown [25, 26] that this splitting approach performs well and is efficient.”
Regime switching in stochastic models of commodity prices: An application to an optimal tree harvesting problem (2012, methodology): “An overview of these methodologies is provided in Ikonen and Toivanen (2008). The penalty approach used here converts the LCP into a nonlinear algebraic problem, which is then solved by Newton iteration.”