2014Unpublished venueRequires access

Numerical Simulation of Stochastic Differential Equations

Raúl Toral, Pere Colet

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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

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What this paper is about

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

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Available 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

Key concepts: Stochastic partial differential equation, Stochastic differential equation, Mathematics, Multiplicative noise, White noise, Ornstein–Uhlenbeck process, Applied mathematics, Numerical integration

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