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List of Algorithms; Preface; Chapter 1: Option Pricing; Chapter 2: Black–Scholes Equation. Mathematical Analysis; Chapter 3: Finite Differences; Chapter 4: The Finite Element Method; Chapter 5: Adaptive Mesh Refinement; Chapter 6: American Options; Chapter 7: Sensitivities and Calibration; Chapter 8: Calibration of Local Volatility with European Options; Chapter 9: Calibration of Local Volatility with American Options; Bibliography; Index.