Numerical Simulation of Stochastic Differential Equations
Raúl Toral, Pere Colet
Abstract
Raúl Toral, Pere Colet
Abstract
This chapter contains sections titled: Numerical Integration of Stochastic Differential Equations with Gaussian White Noise The Ornstein–Uhlenbeck Process: Exact Generation of Trajectories Numerical Integration of Stochastic Differential Equations with Ornstein–Uhlenbeck Noise Runge–Kutta-Type Methods Numerical Integration of Stochastic Differential Equations with Several Variables Rare Events: The Linear Equation with Linear Multiplicative Noise First Passage Time Problems Higher Order (?) Methods Further Reading and References Exercises
OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
This chapter contains sections titled: Numerical Integration of Stochastic Differential Equations with Gaussian White Noise The Ornstein–Uhlenbeck Process: Exact Generation of Trajectories Numerical Integration of Stochastic Differential Equations with Ornstein–Uhlenbeck Noise Runge–Kutta-Type Methods Numerical Integration of Stochastic Differential Equations with Several Variables Rare Events: The Linear Equation with Linear Multiplicative Noise First Passage Time Problems Higher Order (?) Methods Further Reading and References Exercises
Key concepts: Stochastic partial differential equation, Stochastic differential equation, Mathematics, Multiplicative noise, White noise, Ornstein–Uhlenbeck process, Applied mathematics, Numerical integration