A fast preconditioned iterative method for two-dimensional options pricing under fractional differential models
DOI10.1016/j.camwa.2019.07.010zbMath1448.65096OpenAlexW2969874034WikidataQ127341486 ScholiaQ127341486MaRDI QIDQ2004502
Deng Ding, Siu-Long Lei, Xu Chen, Wen-Fei Wang
Publication date: 7 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.07.010
finite difference methodpreconditionerfinite moment log stable modelrainbow options pricingtwo-dimensional fractional partial differential equation
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Interest rates, asset pricing, etc. (stochastic models) (91G30) Preconditioners for iterative methods (65F08) Fractional partial differential equations (35R11) Financial markets (91G15)
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Cites Work
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- The Pricing of Options and Corporate Liabilities
- High order finite difference method for time-space fractional differential equations with Caputo and Riemann-Liouville derivatives
- A penalty method for a fractional order parabolic variational inequality governing American put option valuation
- A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations and its efficient implementation
- A circulant preconditioner for fractional diffusion equations
- A predictor-corrector approach for pricing American options under the finite moment log-stable model
- A fourth-order approximation of fractional derivatives with its applications
- Numerical solution of two asset jump diffusion models for option valuation
- A fast preconditioned penalty method for American options pricing under regime-switching tempered fractional diffusion models
- Fast Laplace transform methods for free-boundary problems of fractional diffusion equations
- Preconditioning techniques for large linear systems: A survey
- Using pseudo-parabolic and fractional equations for option pricing in jump diffusion models
- A direct \(O(N \log ^{2} N)\) finite difference method for fractional diffusion equations
- The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option
- Two-dimensional Shannon wavelet inverse Fourier technique for pricing European options
- A fast preconditioned policy iteration method for solving the tempered fractional HJB equation governing American options valuation
- Numerical simulation of a finite moment log stable model for a European call option
- Finite difference approximations for two-sided space-fractional partial differential equations
- Circulant preconditioning technique for barrier options pricing under fractional diffusion models
- An efficient pricing method for rainbow options based on two-dimensional modified sine–sine series expansions
- Preconditioned iterative methods for fractional diffusion models in finance
- Two-Dimensional Fourier Cosine Series Expansion Method for Pricing Financial Options
- A class of second order difference approximations for solving space fractional diffusion equations
- Multilevel Circulant Preconditioner for High-Dimensional Fractional Diffusion Equations
- Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations
- An Introduction to Iterative Toeplitz Solvers
- Tools for computational finance.