ADI finite difference schemes for option pricing in the Heston model with correlation
zbMath1499.65276arXiv0811.3427MaRDI QIDQ5862255
S. Foulon, Karel J. in 't Hout
Publication date: 7 March 2022
Full work available at URL: https://arxiv.org/abs/0811.3427
option pricingfinite difference methodsinitial-boundary value problemsconvection-diffusion equationsHeston modelmethod-of-linesmixed derivativesADI splitting schemes
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)
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Cites Work
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- RKC time-stepping for advection-diffusion-reaction problems
- Stability of ADI schemes applied to convection--diffusion equations with mixed derivative terms
- Unconditional stability of second-order ADI schemes applied to multi-dimensional diffusion equations with mixed derivative terms
- Finite element solution of diffusion problems with irregular data
- An alternating-direction implicit scheme for parabolic equations with mixed derivatives
- RKC: An explicit solver for parabolic PDEs
- Accuracy and stability of splitting with stabilizing corrections
- Stochastic calculus for finance. II: Continuous-time models.
- An alternating direction implicit scheme for parabolic equations with mixed derivative and convective terms
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
- A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options
- ADI Schemes in the Numerical Solution of the Heston PDE
- Alternating direction methods for parabolic equations in two space dimensions with a mixed derivative
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