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Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory. (English) Zbl 1065.65145
The authors study the numerical approximation of a class of semilinear strongly degenerate parabolic integro-differential Cauchy problems. Convergence is shown for monotone schemes for viscosity solutions to problems arising in financial theory. Similar models arise in option pricing. Moreover, numerical tests are presented and analyzed.

MSC:
65R20 Numerical methods for integral equations
45K05 Integro-partial differential equations
45G10 Other nonlinear integral equations
49L25 Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games
91G60 Numerical methods (including Monte Carlo methods)
91G20 Derivative securities (option pricing, hedging, etc.)
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