Analysis of splitting methods for solving a partial integro-differential Fokker-Planck equation
DOI10.1016/j.amc.2016.08.050zbMath1411.65110OpenAlexW2518948376WikidataQ115361300 ScholiaQ115361300MaRDI QIDQ1734297
B. Gaviraghi, Mario Annunziato, Alfio Borzì
Publication date: 27 March 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2016.08.050
convergence analysisFokker-Planck equationjump-diffusion processespartial integro-differential equationChang-CooperStrang-Marchuk splitting
Integro-partial differential equations (45K05) 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) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic stability of solutions to Volterra-renewal integral equations with space maps
- Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory
- Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations
- A survey of numerical methods for stochastic differential equations
- Stochastic methods. A handbook for the natural and social sciences
- PDE and martingale methods in option pricing.
- Implicit-explicit numerical schemes for jump-diffusion processes
- Theory and applications of stochastic processes. An analytical approach
- Maximum principles for integro-differential parabolic operators
- Numerical valuation of options with jumps in the underlying
- The Fokker-Planck equation. Methods of solutions and applications.
- Integro-differential equations for option prices in exponential Lévy models
- Asymptotic high-order schemes for integro-differential problems arising in markets with jumps
- A practical difference scheme for Fokker-Planck equations
- Handbook of Monte Carlo Methods
- Numerical Methods in Scientific Computing, Volume I
- Densities for Ornstein-Uhlenbeck processes with jumps
- User’s guide to viscosity solutions of second order partial differential equations
- Stochastic Methods and Their Applications to Communications
- An Introduction to Numerical Analysis
- Financial Modelling with Jump Processes
- Lévy Processes and Stochastic Calculus
- Fractional Langevin equation with α-stable noise. A link to fractional ARIMA time series
- Decomposition Methods for Differential Equations
- Analysis of Finite Difference Schemes
- On the Construction and Comparison of Difference Schemes