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Convergence analysis of Crank–Nicolson and Rannacher time-marching
8 references·12 citing·37 second hop
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this work references cited by second hop

References

  • 1993A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options8,768 cited
  • 1995The Mathematics of Financial Derivatives1,037 cited
  • 1984The American Put Option Valued Analytically728 cited
  • 1996American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods547 cited
  • 2002Quadratic Convergence for Valuing American Options Using a Penalty Method327 cited
  • 2006Finite Difference Methods in Financial Engineering: A Partial Differential Equation Approach250 cited
  • 2003Numerical convergence properties of option pricing PDEs with uncertain volatility157 cited
  • 2003Convergence remedies for non-smooth payoffs in option pricing155 cited

Cited by

  • 2008Numerical Valuation of European and American Options under Kou's Jump-Diffusion Model105 cited
  • 2014An IMEX-Scheme for Pricing Options under Stochastic Volatility Models with Jumps81 cited
  • 2011An Iterative Method for Pricing American Options Under Jump-Diffusion Models75 cited
  • 2007Exponential time integration and Chebychev discretisation schemes for fast pricing of options53 cited
  • 2009Lagrange Multiplier Approach with Optimized Finite Difference Stencils for Pricing American Options under Stochastic Volatility43 cited
  • 2018A multiquadric quasi-interpolations method for CEV option pricing model

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43 cited
  • 2007Pricing exotic options with L-stable Padé schemes39 cited
  • 2008Exponential time integration for fast finite element solutions of some financial engineering problems39 cited
  • 2007Adaptive θ -methods for pricing American options39 cited
  • 2015Calibrating and Pricing with a Stochastic-Local Volatility Model28 cited
  • 2013Iterative Methods for Pricing American Options under the Bates Model25 cited
  • 2013Options pricing under the one-dimensional jump-diffusion model using the radial basis function interpolation scheme25 cited